Long-lived complexes and signatures of chaos in ultracold K2 +Rb collisions

doi:10.1103/PhysRevA.96.062707

Title: Long-lived complexes and signatures of chaos in ultracold $K_{2}$ +Rb collisions

Abstract

Lifetimes of complexes formed during ultracold collisions are of current experimental interest as a possible cause of trap loss in ultracold gases of alkali-metal dimers. Microsecond lifetimes for complexes formed during ultracold elastic collisions of K₂ with Rb are reported, from numerically exact quantum-scattering calculations. Thermally averaged lifetimes are compared with those calculated using a simple density-of-states approach, which are shown to be reasonable. This validates the density-of-states approach and suggests that the formation of long-lived complexes is indeed the cause of observed experimental trap loss in ultracold alkali-metal-dimer systems. Long-lived complexes correspond to narrow scattering resonances which we examine for the statistical signatures of quantum chaos, finding that the positions and widths of the resonances are in good agreement with the Wigner-Dyson and Porter-Thomas distributions, respectively.

Authors:

Croft, J. F. E. ^[1]; Balakrishnan, N. ^[1];

^[2]

Univ. of Nevada, Las Vegas, NV (United States). Dept. of Chemistry
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Publication Date:: 2017-12-18

Research Org.:: Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Sponsoring Org.:: USDOE Laboratory Directed Research and Development (LDRD) Program

OSTI Identifier:: 1524374

Alternate Identifier(s):: OSTI ID: 1413815

Report Number(s):: LA-UR-17-29347
Journal ID: ISSN 2469-9926; PLRAAN

Grant/Contract Number:: 89233218CNA000001; 20170221ER; AC52-06NA25396

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review A

Additional Journal Information:: Journal Volume: 96; Journal Issue: 6; Journal ID: ISSN 2469-9926

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Astronomy and Astrophysics; Inorganic and Physical Chemistry; ultracold chemical reactions; quantum dynamics

Citation Formats


                    Croft, J. F.  E., Balakrishnan, N., and Kendrick, B. K. Long-lived complexes and signatures of chaos in ultracold K2 +Rb collisions.  United States: N. p., 2017. 
        Web.  doi:10.1103/PhysRevA.96.062707.

Copy to clipboard


                    Croft, J. F.  E., Balakrishnan, N., & Kendrick, B. K. Long-lived complexes and signatures of chaos in ultracold K2 +Rb collisions.  United States.  doi:10.1103/PhysRevA.96.062707.

Copy to clipboard


                    Croft, J. F.  E., Balakrishnan, N., and Kendrick, B. K. Mon .  
        "Long-lived complexes and signatures of chaos in ultracold K2 +Rb collisions".  United States.  doi:10.1103/PhysRevA.96.062707.  https://www.osti.gov/servlets/purl/1524374.

Copy to clipboard


                    
@article{osti_1524374,

  title        = {Long-lived complexes and signatures of chaos in ultracold K2 +Rb collisions},

  author       = {Croft, J. F.  E. and Balakrishnan, N. and Kendrick, B. K.},

  abstractNote = {Lifetimes of complexes formed during ultracold collisions are of current experimental interest as a possible cause of trap loss in ultracold gases of alkali-metal dimers. Microsecond lifetimes for complexes formed during ultracold elastic collisions of K2 with Rb are reported, from numerically exact quantum-scattering calculations. Thermally averaged lifetimes are compared with those calculated using a simple density-of-states approach, which are shown to be reasonable. This validates the density-of-states approach and suggests that the formation of long-lived complexes is indeed the cause of observed experimental trap loss in ultracold alkali-metal-dimer systems. Long-lived complexes correspond to narrow scattering resonances which we examine for the statistical signatures of quantum chaos, finding that the positions and widths of the resonances are in good agreement with the Wigner-Dyson and Porter-Thomas distributions, respectively.},

  doi          = {10.1103/PhysRevA.96.062707},

  journal      = {Physical Review A},

  number       = 6,

  volume       = 96,

  place        = {United States},

  year         = {2017},

  month        = {12}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (Publisher)

Accepted Manuscript (DOE)

Publisher's Version of Record

DOI: 10.1103/PhysRevA.96.062707

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 3 works

Citation information provided by
Web of Science

Figures / Tables:

FIG. 1: The adiabatic potential curves for the KRbK complex at short hyperradius for even exchange symmetry. Only every 100th curve is shown due to the high DOS for this system. The horizontal red line corresponds to the v = 0 j = 0 threshold of K₂.

All figures and tables (6 total)

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

Analytical calculation of the Smith lifetime Q matrix using a Magnus propagator: Applications to the study of resonances occurring in ultracold inelastic collisions with and without an applied magnetic field
journal, April 2009

Guillon, G.; Stoecklin, T.
The Journal of Chemical Physics, Vol. 130, Issue 14
DOI: 10.1063/1.3111881

Quantum control of molecular collisions at 1 kelvin
journal, October 2017

Perreault, William E.; Mukherjee, Nandini; Zare, Richard N.
Science, Vol. 358, Issue 6361
DOI: 10.1126/science.aao3116

Coupling of the $X {}^{1}Σ^{+}$ and $a {}^{3}Σ^{+}$ states of $KRb$
journal, August 2007

Pashov, A.; Docenko, O.; Tamanis, M.
Physical Review A, Vol. 76, Issue 2
DOI: 10.1103/PhysRevA.76.022511

Schemes for robust quantum computation with polar molecules
journal, November 2006

Yelin, S. F.; Kirby, K.; Côté, Robin
Physical Review A, Vol. 74, Issue 5
DOI: 10.1103/PhysRevA.74.050301

A statistical measure for the repulsion of energy levels
journal, July 1973

Brody, T. A.
Lettere Al Nuovo Cimento Series 2, Vol. 7, Issue 12
DOI: 10.1007/BF02727859

Ultracold Dense Samples of Dipolar RbCs Molecules in the Rovibrational and Hyperfine Ground State
journal, November 2014

Takekoshi, Tetsu; Reichsöllner, Lukas; Schindewolf, Andreas
Physical Review Letters, Vol. 113, Issue 20
DOI: 10.1103/PhysRevLett.113.205301

Ultracold Dipolar Gas of Fermionic ${}^{23}{Na} {}^{40}K$ Molecules in Their Absolute Ground State
journal, May 2015

Park, Jee Woo; Will, Sebastian A.; Zwierlein, Martin W.
Physical Review Letters, Vol. 114, Issue 20
DOI: 10.1103/PhysRevLett.114.205302

Creation of an Ultracold Gas of Ground-State Dipolar ${}^{23}{Na} {}^{87}{Rb}$ Molecules
journal, May 2016

Guo, Mingyang; Zhu, Bing; Lu, Bo
Physical Review Letters, Vol. 116, Issue 20
DOI: 10.1103/PhysRevLett.116.205303

Quantum Computation with Trapped Polar Molecules
journal, January 2002

DeMille, D.
Physical Review Letters, Vol. 88, Issue 6
DOI: 10.1103/PhysRevLett.88.067901

State-to-state chemistry for three-body recombination in an ultracold rubidium gas
journal, November 2017

Wolf, Joschka; Deiß, Markus; Krükow, Artjom
Science, Vol. 358, Issue 6365
DOI: 10.1126/science.aan8721

A coherent all-electrical interface between polar molecules and mesoscopic superconducting resonators
journal, August 2006

André, A.; DeMille, D.; Doyle, J. M.
Nature Physics, Vol. 2, Issue 9
DOI: 10.1038/nphys386

Statistical aspects of ultracold resonant scattering
journal, June 2012

Mayle, Michael; Ruzic, Brandon P.; Bohn, John L.
Physical Review A, Vol. 85, Issue 6
DOI: 10.1103/PhysRevA.85.062712

Emergent timescales in entangled quantum dynamics of ultracold molecules in optical lattices
journal, May 2009

Wall, M. L.; Carr, L. D.
New Journal of Physics, Vol. 11, Issue 5
DOI: 10.1088/1367-2630/11/5/055027

Emergence of Chaotic Scattering in Ultracold Er and Dy
journal, November 2015

Maier, T.; Kadau, H.; Schmitt, M.
Physical Review X, Vol. 5, Issue 4
DOI: 10.1103/PhysRevX.5.041029

Implicit Application of Polynomial Filters in a k -Step Arnoldi Method
journal, January 1992

Sorensen, D. C.
SIAM Journal on Matrix Analysis and Applications, Vol. 13, Issue 1
DOI: 10.1137/0613025

Direct determination of scattering time delays using the R ‐matrix propagation method
journal, October 1989

Walker, Robert B.; Hayes, Edward F.
The Journal of Chemical Physics, Vol. 91, Issue 7
DOI: 10.1063/1.456839

Random matrices and chaos in nuclear physics: Nuclear structure
journal, May 2009

Weidenmüller, H. A.; Mitchell, G. E.
Reviews of Modern Physics, Vol. 81, Issue 2
DOI: 10.1103/RevModPhys.81.539

Tertiary and general-order collisions (II)
journal, October 1960

Delves, L. M.
Nuclear Physics, Vol. 20
DOI: 10.1016/0029-5582(60)90174-7

Classical Fractals and Quantum Chaos in Ultracold Dipolar Collisions
journal, April 2017

Yang, B. C.; Pérez-Ríos, Jesús; Robicheaux, F.
Physical Review Letters, Vol. 118, Issue 15
DOI: 10.1103/PhysRevLett.118.154101

On a Class of Analytic Functions from the Quantum Theory of Collisions
journal, January 1951

Wigner, Eugene P.
The Annals of Mathematics, Vol. 53, Issue 1
DOI: 10.2307/1969342

Potassium ground-state scattering parameters and Born-Oppenheimer potentials from molecular spectroscopy
journal, July 2008

Falke, Stephan; Knöckel, Horst; Friebe, Jan
Physical Review A, Vol. 78, Issue 1
DOI: 10.1103/PhysRevA.78.012503

Order of Magnitude Smaller Limit on the Electric Dipole Moment of the Electron
journal, December 2013

Baron, J.; Campbell, W. C.; DeMille, D.
Science, Vol. 343, Issue 6168
DOI: 10.1126/science.1248213

Molecular Reaction Dynamics
book, January 2005

Levine, Raphael D.
DOI: 10.1017/CBO9780511614125

Approach to chaos in ultracold atomic and molecular physics: Statistics of near-threshold bound states for Li+CaH and Li+CaF
journal, May 2016

Frye, Matthew D.; Morita, Masato; Vaillant, Christophe L.
Physical Review A, Vol. 93, Issue 5
DOI: 10.1103/PhysRevA.93.052713

Quantum reactive scattering in three dimensions using hyperspherical (APH) coordinates. IV. Discrete variable representation (DVR) basis functions and the analysis of accurate results for F+H ₂
journal, February 1990

Bačić, Z.; Kress, J. D.; Parker, G. A.
The Journal of Chemical Physics, Vol. 92, Issue 4
DOI: 10.1063/1.457976

The Fourier grid Hamiltonian method for bound state eigenvalues and eigenfunctions
journal, September 1989

Marston, C. Clay; Balint‐Kurti, Gabriel G.
The Journal of Chemical Physics, Vol. 91, Issue 6
DOI: 10.1063/1.456888

Fluctuations of Nuclear Reaction Widths
journal, October 1956

Porter, C. E.; Thomas, R. G.
Physical Review, Vol. 104, Issue 2
DOI: 10.1103/PhysRev.104.483

Tertiary and general-order collisions
journal, January 1958

Delves, L. M.
Nuclear Physics, Vol. 9, Issue 3
DOI: 10.1016/0029-5582(58)90372-9

Evidence for Efimov quantum states in an ultracold gas of caesium atoms
journal, March 2006

Kraemer, T.; Mark, M.; Waldburger, P.
Nature, Vol. 440, Issue 7082
DOI: 10.1038/nature04626

Improved measurement of the shape of the electron
journal, May 2011

Hudson, J. J.; Kara, D. M.; Smallman, I. J.
Nature, Vol. 473, Issue 7348
DOI: 10.1038/nature10104

The multichannel log-derivative method for scattering calculations
journal, November 1973

Johnson, B. R.
Journal of Computational Physics, Vol. 13, Issue 3
DOI: 10.1016/0021-9991(73)90049-1

Strongly Correlated 2D Quantum Phases with Cold Polar Molecules: Controlling the Shape of the Interaction Potential
journal, February 2007

Büchler, H. P.; Demler, E.; Lukin, M.
Physical Review Letters, Vol. 98, Issue 6
DOI: 10.1103/PhysRevLett.98.060404

Quantum chaos in ultracold collisions of gas-phase erbium atoms
journal, March 2014

Frisch, Albert; Mark, Michael; Aikawa, Kiyotaka
Nature, Vol. 507, Issue 7493
DOI: 10.1038/nature13137

Magnetically Controlled Exchange Process in an Ultracold Atom-Dimer Mixture
journal, February 2010

Knoop, S.; Ferlaino, F.; Berninger, M.
Physical Review Letters, Vol. 104, Issue 5
DOI: 10.1103/PhysRevLett.104.053201

A theory of fluctuations in nuclear cross sections
journal, September 1963

Ericson, Torleif
Annals of Physics, Vol. 23, Issue 3
DOI: 10.1016/0003-4916(63)90261-6

Broad universal Feshbach resonances in the chaotic spectrum of dysprosium atoms
journal, December 2015

Maier, T.; Ferrier-Barbut, I.; Kadau, H.
Physical Review A, Vol. 92, Issue 6
DOI: 10.1103/PhysRevA.92.060702

Universality and chaoticity in ultracold K+KRb chemical reactions
journal, July 2017

Croft, J. F. E.; Makrides, C.; Li, M.
Nature Communications, Vol. 8, Issue 1
DOI: 10.1038/ncomms15897

Characterization of Chaotic Quantum Spectra and Universality of Level Fluctuation Laws
journal, January 1984

Bohigas, O.; Giannoni, M. J.; Schmit, C.
Physical Review Letters, Vol. 52, Issue 1
DOI: 10.1103/PhysRevLett.52.1

Geometric phase effects in H+O ₂ scattering. II. Recombination resonances and state‐to‐state transition probabilities at thermal energies
journal, May 1996

Kendrick, Brian; Pack, Russell T.
The Journal of Chemical Physics, Vol. 104, Issue 19
DOI: 10.1063/1.471461

Recombination resonances in thermal H + O2 scattering
journal, March 1995

Kendrick, Brian; Pack, Russell T.
Chemical Physics Letters, Vol. 235, Issue 3-4
DOI: 10.1016/0009-2614(95)00116-L

Hyperspherical surface functions for nonzero total angular momentum. I. Eckart singularities
journal, April 1999

Kendrick, Brian K.; Pack, Russell T.; Walker, Robert B.
The Journal of Chemical Physics, Vol. 110, Issue 14
DOI: 10.1063/1.478574

Localized representations for large amplitude molecular vibrations
journal, September 1988

Bačić, Z.; Whitnell, R. M.; Brown, D.
Computer Physics Communications, Vol. 51, Issue 1-2
DOI: 10.1016/0010-4655(88)90060-4

Resonance reactions and enhancement of weak interactions in collisions of cold molecules
journal, August 2006

Flambaum, V. V.; Ginges, J. S. M.
Physical Review A, Vol. 74, Issue 2
DOI: 10.1103/PhysRevA.74.025601

Lifetimes of Active Molecules. II
journal, March 1952

Marcus, R. A.
The Journal of Chemical Physics, Vol. 20, Issue 3
DOI: 10.1063/1.1700423

Lifetimes of Active Molecules. I
journal, March 1952

Marcus, R. A.
The Journal of Chemical Physics, Vol. 20, Issue 3
DOI: 10.1063/1.1700422

Long-lived complexes and chaos in ultracold molecular collisions
journal, January 2014

Croft, James F. E.; Bohn, John L.
Physical Review A, Vol. 89, Issue 1
DOI: 10.1103/PhysRevA.89.012714

Scattering of ultracold molecules in the highly resonant regime
journal, January 2013

Mayle, Michael; Quéméner, Goulven; Ruzic, Brandon P.
Physical Review A, Vol. 87, Issue 1
DOI: 10.1103/PhysRevA.87.012709

Grid methods for solving the Schrödinger equation and time dependent quantum dynamics of molecular photofragmentation and reactive scattering processes
journal, September 1992

Balint-Kurti, Gabriel G.; Dixon, Richard N.; Marston, C. Clay
International Reviews in Physical Chemistry, Vol. 11, Issue 2
DOI: 10.1080/01442359209353274

Random-matrix physics: spectrum and strength fluctuations
journal, July 1981

Brody, T. A.; Flores, J.; French, J. B.
Reviews of Modern Physics, Vol. 53, Issue 3
DOI: 10.1103/RevModPhys.53.385

Calculation of the scattering length in atomic collisions using the semiclassical approximation
journal, July 1993

Gribakin, G. F.; Flambaum, V. V.
Physical Review A, Vol. 48, Issue 1
DOI: 10.1103/PhysRevA.48.546

Creation of Ultracold ${}^{87}{Rb} {}^{133}{Cs}$ Molecules in the Rovibrational Ground State
journal, December 2014

Molony, Peter K.; Gregory, Philip D.; Ji, Zhonghua
Physical Review Letters, Vol. 113, Issue 25
DOI: 10.1103/PhysRevLett.113.255301

Role of Quantum Fluctuations in the Hexatic Phase of Cold Polar Molecules
journal, June 2014

Lechner, Wolfgang; Büchler, Hans-Peter; Zoller, Peter
Physical Review Letters, Vol. 112, Issue 25
DOI: 10.1103/PhysRevLett.112.255301

Controlled state-to-state atom-exchange reaction in an ultracold atom–dimer mixture
journal, April 2017

Rui, Jun; Yang, Huan; Liu, Lan
Nature Physics, Vol. 13, Issue 7
DOI: 10.1038/nphys4095

Quantum-State Controlled Chemical Reactions of Ultracold Potassium-Rubidium Molecules
journal, February 2010

Ospelkaus, S.; Ni, K. -K.; Wang, D.
Science, Vol. 327, Issue 5967
DOI: 10.1126/science.1184121

Cold polar molecules in two-dimensional traps: Tailoring interactions with external fields for novel quantum phases
journal, October 2007

Micheli, A.; Pupillo, G.; Büchler, H. P.
Physical Review A, Vol. 76, Issue 4
DOI: 10.1103/PhysRevA.76.043604

Continuous probing of cold complex molecules with infrared frequency comb spectroscopy
journal, May 2016

Spaun, Ben; Changala, P. Bryan; Patterson, David
Nature, Vol. 533, Issue 7604
DOI: 10.1038/nature17440

An optical lattice clock with accuracy and stability at the 10−18 level
journal, January 2014

Bloom, B. J.; Nicholson, T. L.; Williams, J. R.
Nature, Vol. 506, Issue 7486
DOI: 10.1038/nature12941

Rotational Feshbach Resonances in Ultracold Molecular Collisions
journal, October 2002

Bohn, J. L.; Avdeenkov, A. V.; Deskevich, M. P.
Physical Review Letters, Vol. 89, Issue 20
DOI: 10.1103/PhysRevLett.89.203202

Statistical product distributions for ultracold reactions in external fields
journal, November 2014

González-Martínez, Maykel L.; Dulieu, Olivier; Larrégaray, Pascal
Physical Review A, Vol. 90, Issue 5
DOI: 10.1103/PhysRevA.90.052716

Quantum reactive scattering in three dimensions using hyperspherical (APH) coordinates. Theory
journal, October 1987

Pack, Russell T.; Parker, Gregory A.
The Journal of Chemical Physics, Vol. 87, Issue 7
DOI: 10.1063/1.452944

Lifetime Matrix in Collision Theory
journal, April 1960

Smith, Felix T.
Physical Review, Vol. 118, Issue 1
DOI: 10.1103/PhysRev.118.349

Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
journal, January 2002

Greiner, Markus; Mandel, Olaf; Esslinger, Tilman
Nature, Vol. 415, Issue 6867
DOI: 10.1038/415039a

Non-sticking of helium buffer gas to hydrocarbons
journal, March 2015

Croft, James F. E.; Bohn, John L.
Physical Review A, Vol. 91, Issue 3
DOI: 10.1103/PhysRevA.91.032706

Statistical Theory of the Energy Levels of Complex Systems. I
journal, January 1962

Dyson, Freeman J.
Journal of Mathematical Physics, Vol. 3, Issue 1
DOI: 10.1063/1.1703773

Chaotic scattering in the presence of a dense set of overlapping Feshbach resonances
journal, August 2015

Jachymski, Krzysztof; Julienne, Paul S.
Physical Review A, Vol. 92, Issue 2
DOI: 10.1103/PhysRevA.92.020702

Fluctuations of Nuclear Cross Sections in the "Continuum" Region
journal, November 1960

Ericson, Torleif
Physical Review Letters, Vol. 5, Issue 9
DOI: 10.1103/PhysRevLett.5.430

Quantum chaos in ultracold collisions between $Yb (^{1} S_{0})$ and $Yb (^{3} P_{2})$
journal, February 2016

Green, Dermot G.; Vaillant, Christophe L.; Frye, Matthew D.
Physical Review A, Vol. 93, Issue 2
DOI: 10.1103/PhysRevA.93.022703

Works referencing / citing this record:

Quasiclassical method for calculating the density of states of ultracold collision complexes
journal, September 2019

Christianen, Arthur; Karman, Tijs; Groenenboom, Gerrit C.
Physical Review A, Vol. 100, Issue 3
DOI: 10.1103/physreva.100.032708

Model for scattering with proliferating resonances: Many coupled square wells
journal, December 2018

Mehta, Nirav P.; Hazzard, Kaden R. A.; Ticknor, Christopher
Physical Review A, Vol. 98, Issue 6
DOI: 10.1103/physreva.98.062703

Time delays in ultracold atomic and molecular collisions
journal, October 2019

Frye, Matthew D.; Hutson, Jeremy M.
Physical Review Research, Vol. 1, Issue 3
DOI: 10.1103/physrevresearch.1.033023

Observation of magnetically tunable Feshbach resonances in ultracold ²³ Na ⁴⁰ K + ⁴⁰ K collisions
journal, January 2019

Yang, Huan; Zhang, De-Chao; Liu, Lan
Science, Vol. 363, Issue 6424
DOI: 10.1126/science.aau5322

Figures / Tables found in this record:

Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.

Similar Records in DOE PAGES and OSTI.GOV collections:

Non-adiabatic quantum reactive scattering calculations for the ultracold hydrogen exchange reaction: H + H₂( $v = 4 - 8, j = 0$ ) $\to$ H + H₂( $v^{'}, j^{'}$ )

Journal Article Kendrick, Brian K. - Chemical Physics

A non-more »« less
Cited by 1
DOI: 10.1016/j.chemphys.2018.07.001

Full Text Available
Suppression of $Λ (1520)$ resonance production in central Pb-Pb collisions at $\sqrt{s_{NN}} = 2.76$ TeV

Journal Article Acharya, S. ; Adamová, D. ; Adolfsson, J. ; ... - Physical Review C

Tmore »« less
Cited by 8
DOI: 10.1103/physrevc.99.024905

Full Text Available
Direct observation of bimolecular reactions of ultracold KRb molecules

Journal Article Hu, M. -G. ; Liu, Y. ; Grimes, D. D. ; ... - Science

Femtochemistry techniques have been instrumental in accessing the short time scales necessary to probe transient intermediates in chemical reactions. In this study, we took the contrasting approach of prolonging the lifetime of an intermediate by preparing reactant molecules in their lowest rovibronic quantum state at ultralow temperatures, thereby markedly reducing the number of exit channels accessible upon their mutual collision. Using ionization spectroscopy and velocity-map imaging of a trapped gas of potassium-rubidium (KRb) molecules at a temperature of 500 nanokelvin, we directly observed reactants, intermediates, and products of the reaction ⁴⁰ K ⁸⁷ Rb + ⁴⁰ K ⁸⁷ Rb →more »« less
Cited by 21
DOI: 10.1126/science.aay9531
Monte Carlo simulations of trapped ultracold neutrons in the $UCN τ$ experiment

Journal Article Callahan, Nathan ; Liu, Chen-Yu ; Gonzalez, Francisco ; ... - Physical Review C

We report that in the UCNτ experiment, ultracold neutrons (UCN) are confined by magnetic fields and the Earth's gravitational field. Field-trapping mitigates the problem of UCN loss on material surfaces, which caused the largest correction in prior neutron experiments using material bottles. However, the neutron dynamics in field traps differ qualitatively from those in material bottles. In the latter case, neutrons bounce off material surfaces with significant diffusivity and the population quickly reaches a static spatial distribution with a density gradient induced by the gravitational potential. In contrast, the field-confined UCN—whose dynamics can be described by Hamiltonian mechanics—do not exhibitmore »« less
DOI: 10.1103/PhysRevC.100.015501

Full Text Available
Estimating bounds on collisional relaxation rates of spin-polarized {sup 87}Rb atoms at ultracold temperatures

Journal Article Mies, F H ; Williams, C J ; Julienne, P S ; ... - Journal of Research of the National Institute of Standards and Technology

The recent observation of Bose-Einstein condensation (BEC) in magnetically trapped alkali atoms has brought to completion a 15 year attempt to achieve BEC in a weakly interacting atomic system. The success of BEC in both {sup 87}Rb and {sup 23}Na and evidence for BEC in {sup 7}Li were remarkable achievements brought about by the development of laser cooling during the past decade, the design of optical and magnetic traps for holding cold atomic samples, and most recently the development of evaporative cooling techniques to cool atoms below the recoil limit. The authors present quantum scattering calculations for the collisional relaxationmore »« less
DOI: 10.6028/jres.101.052

Similar Records

Title: Long-lived complexes and signatures of chaos in ultracold K 2 +Rb collisions

Abstract

Citation Formats

Figures / Tables:

Analytical calculation of the Smith lifetime Q matrix using a Magnus propagator: Applications to the study of resonances occurring in ultracold inelastic collisions with and without an applied magnetic field journal, April 2009

Quantum control of molecular collisions at 1 kelvin journal, October 2017

Coupling of the X Σ + 1 and a Σ + 3 states of KRb journal, August 2007

Schemes for robust quantum computation with polar molecules journal, November 2006

A statistical measure for the repulsion of energy levels journal, July 1973

Ultracold Dense Samples of Dipolar RbCs Molecules in the Rovibrational and Hyperfine Ground State journal, November 2014

Ultracold Dipolar Gas of Fermionic Na 23 K 40 Molecules in Their Absolute Ground State journal, May 2015

Creation of an Ultracold Gas of Ground-State Dipolar Na 23 Rb 87 Molecules journal, May 2016

Quantum Computation with Trapped Polar Molecules journal, January 2002

State-to-state chemistry for three-body recombination in an ultracold rubidium gas journal, November 2017

A coherent all-electrical interface between polar molecules and mesoscopic superconducting resonators journal, August 2006

Statistical aspects of ultracold resonant scattering journal, June 2012

Emergent timescales in entangled quantum dynamics of ultracold molecules in optical lattices journal, May 2009

Emergence of Chaotic Scattering in Ultracold Er and Dy journal, November 2015

Implicit Application of Polynomial Filters in a k -Step Arnoldi Method journal, January 1992

Direct determination of scattering time delays using the R ‐matrix propagation method journal, October 1989

Random matrices and chaos in nuclear physics: Nuclear structure journal, May 2009

Tertiary and general-order collisions (II) journal, October 1960

Classical Fractals and Quantum Chaos in Ultracold Dipolar Collisions journal, April 2017

On a Class of Analytic Functions from the Quantum Theory of Collisions journal, January 1951

Potassium ground-state scattering parameters and Born-Oppenheimer potentials from molecular spectroscopy journal, July 2008

Order of Magnitude Smaller Limit on the Electric Dipole Moment of the Electron journal, December 2013

Molecular Reaction Dynamics book, January 2005

Approach to chaos in ultracold atomic and molecular physics: Statistics of near-threshold bound states for Li+CaH and Li+CaF journal, May 2016

Quantum reactive scattering in three dimensions using hyperspherical (APH) coordinates. IV. Discrete variable representation (DVR) basis functions and the analysis of accurate results for F+H 2 journal, February 1990

The Fourier grid Hamiltonian method for bound state eigenvalues and eigenfunctions journal, September 1989

Fluctuations of Nuclear Reaction Widths journal, October 1956

Tertiary and general-order collisions journal, January 1958

Evidence for Efimov quantum states in an ultracold gas of caesium atoms journal, March 2006

Improved measurement of the shape of the electron journal, May 2011

The multichannel log-derivative method for scattering calculations journal, November 1973

Strongly Correlated 2D Quantum Phases with Cold Polar Molecules: Controlling the Shape of the Interaction Potential journal, February 2007

Quantum chaos in ultracold collisions of gas-phase erbium atoms journal, March 2014

Magnetically Controlled Exchange Process in an Ultracold Atom-Dimer Mixture journal, February 2010

A theory of fluctuations in nuclear cross sections journal, September 1963

Broad universal Feshbach resonances in the chaotic spectrum of dysprosium atoms journal, December 2015

Universality and chaoticity in ultracold K+KRb chemical reactions journal, July 2017

Characterization of Chaotic Quantum Spectra and Universality of Level Fluctuation Laws journal, January 1984

Geometric phase effects in H+O 2 scattering. II. Recombination resonances and state‐to‐state transition probabilities at thermal energies journal, May 1996

Recombination resonances in thermal H + O2 scattering journal, March 1995

Hyperspherical surface functions for nonzero total angular momentum. I. Eckart singularities journal, April 1999

Localized representations for large amplitude molecular vibrations journal, September 1988

Resonance reactions and enhancement of weak interactions in collisions of cold molecules journal, August 2006

Lifetimes of Active Molecules. II journal, March 1952

Lifetimes of Active Molecules. I journal, March 1952

Long-lived complexes and chaos in ultracold molecular collisions journal, January 2014

Scattering of ultracold molecules in the highly resonant regime journal, January 2013

Grid methods for solving the Schrödinger equation and time dependent quantum dynamics of molecular photofragmentation and reactive scattering processes journal, September 1992

Random-matrix physics: spectrum and strength fluctuations journal, July 1981

Calculation of the scattering length in atomic collisions using the semiclassical approximation journal, July 1993

Creation of Ultracold Rb 87 Cs 133 Molecules in the Rovibrational Ground State journal, December 2014

Role of Quantum Fluctuations in the Hexatic Phase of Cold Polar Molecules journal, June 2014

Controlled state-to-state atom-exchange reaction in an ultracold atom–dimer mixture journal, April 2017

Quantum-State Controlled Chemical Reactions of Ultracold Potassium-Rubidium Molecules journal, February 2010

Cold polar molecules in two-dimensional traps: Tailoring interactions with external fields for novel quantum phases journal, October 2007

Continuous probing of cold complex molecules with infrared frequency comb spectroscopy journal, May 2016

An optical lattice clock with accuracy and stability at the 10−18 level journal, January 2014

Rotational Feshbach Resonances in Ultracold Molecular Collisions journal, October 2002

Statistical product distributions for ultracold reactions in external fields journal, November 2014

Quantum reactive scattering in three dimensions using hyperspherical (APH) coordinates. Theory journal, October 1987

Lifetime Matrix in Collision Theory journal, April 1960

Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms journal, January 2002

Non-sticking of helium buffer gas to hydrocarbons journal, March 2015

Statistical Theory of the Energy Levels of Complex Systems. I journal, January 1962

Chaotic scattering in the presence of a dense set of overlapping Feshbach resonances journal, August 2015

Fluctuations of Nuclear Cross Sections in the "Continuum" Region journal, November 1960

Quantum chaos in ultracold collisions between Yb ( 1 S 0 ) and Yb ( 3 P 2 ) journal, February 2016

Quasiclassical method for calculating the density of states of ultracold collision complexes journal, September 2019

Model for scattering with proliferating resonances: Many coupled square wells journal, December 2018

Time delays in ultracold atomic and molecular collisions journal, October 2019

Observation of magnetically tunable Feshbach resonances in ultracold 23 Na 40 K + 40 K collisions journal, January 2019

Title: Long-lived complexes and signatures of chaos in ultracold $K_{2}$ +Rb collisions

Analytical calculation of the Smith lifetime Q matrix using a Magnus propagator: Applications to the study of resonances occurring in ultracold inelastic collisions with and without an applied magnetic field
journal, April 2009

Quantum control of molecular collisions at 1 kelvin
journal, October 2017

Coupling of the $X {}^{1}Σ^{+}$ and $a {}^{3}Σ^{+}$ states of $KRb$
journal, August 2007

Schemes for robust quantum computation with polar molecules
journal, November 2006

A statistical measure for the repulsion of energy levels
journal, July 1973

Ultracold Dense Samples of Dipolar RbCs Molecules in the Rovibrational and Hyperfine Ground State
journal, November 2014

Ultracold Dipolar Gas of Fermionic ${}^{23}{Na} {}^{40}K$ Molecules in Their Absolute Ground State
journal, May 2015

Creation of an Ultracold Gas of Ground-State Dipolar ${}^{23}{Na} {}^{87}{Rb}$ Molecules
journal, May 2016

Quantum Computation with Trapped Polar Molecules
journal, January 2002

State-to-state chemistry for three-body recombination in an ultracold rubidium gas
journal, November 2017

A coherent all-electrical interface between polar molecules and mesoscopic superconducting resonators
journal, August 2006

Statistical aspects of ultracold resonant scattering
journal, June 2012

Emergent timescales in entangled quantum dynamics of ultracold molecules in optical lattices
journal, May 2009

Emergence of Chaotic Scattering in Ultracold Er and Dy
journal, November 2015

Implicit Application of Polynomial Filters in a k -Step Arnoldi Method
journal, January 1992

Direct determination of scattering time delays using the R ‐matrix propagation method
journal, October 1989

Random matrices and chaos in nuclear physics: Nuclear structure
journal, May 2009

Tertiary and general-order collisions (II)
journal, October 1960

Classical Fractals and Quantum Chaos in Ultracold Dipolar Collisions
journal, April 2017

On a Class of Analytic Functions from the Quantum Theory of Collisions
journal, January 1951

Potassium ground-state scattering parameters and Born-Oppenheimer potentials from molecular spectroscopy
journal, July 2008

Order of Magnitude Smaller Limit on the Electric Dipole Moment of the Electron
journal, December 2013

Molecular Reaction Dynamics
book, January 2005

Approach to chaos in ultracold atomic and molecular physics: Statistics of near-threshold bound states for Li+CaH and Li+CaF
journal, May 2016

Quantum reactive scattering in three dimensions using hyperspherical (APH) coordinates. IV. Discrete variable representation (DVR) basis functions and the analysis of accurate results for F+H ₂
journal, February 1990

The Fourier grid Hamiltonian method for bound state eigenvalues and eigenfunctions
journal, September 1989

Fluctuations of Nuclear Reaction Widths
journal, October 1956

Tertiary and general-order collisions
journal, January 1958

Evidence for Efimov quantum states in an ultracold gas of caesium atoms
journal, March 2006

Improved measurement of the shape of the electron
journal, May 2011

The multichannel log-derivative method for scattering calculations
journal, November 1973

Strongly Correlated 2D Quantum Phases with Cold Polar Molecules: Controlling the Shape of the Interaction Potential
journal, February 2007

Quantum chaos in ultracold collisions of gas-phase erbium atoms
journal, March 2014

Magnetically Controlled Exchange Process in an Ultracold Atom-Dimer Mixture
journal, February 2010

A theory of fluctuations in nuclear cross sections
journal, September 1963

Broad universal Feshbach resonances in the chaotic spectrum of dysprosium atoms
journal, December 2015

Universality and chaoticity in ultracold K+KRb chemical reactions
journal, July 2017

Characterization of Chaotic Quantum Spectra and Universality of Level Fluctuation Laws
journal, January 1984

Geometric phase effects in H+O ₂ scattering. II. Recombination resonances and state‐to‐state transition probabilities at thermal energies
journal, May 1996

Recombination resonances in thermal H + O2 scattering
journal, March 1995

Hyperspherical surface functions for nonzero total angular momentum. I. Eckart singularities
journal, April 1999

Localized representations for large amplitude molecular vibrations
journal, September 1988

Resonance reactions and enhancement of weak interactions in collisions of cold molecules
journal, August 2006

Lifetimes of Active Molecules. II
journal, March 1952

Lifetimes of Active Molecules. I
journal, March 1952

Long-lived complexes and chaos in ultracold molecular collisions
journal, January 2014

Scattering of ultracold molecules in the highly resonant regime
journal, January 2013

Grid methods for solving the Schrödinger equation and time dependent quantum dynamics of molecular photofragmentation and reactive scattering processes
journal, September 1992

Random-matrix physics: spectrum and strength fluctuations
journal, July 1981

Calculation of the scattering length in atomic collisions using the semiclassical approximation
journal, July 1993

Creation of Ultracold ${}^{87}{Rb} {}^{133}{Cs}$ Molecules in the Rovibrational Ground State
journal, December 2014

Role of Quantum Fluctuations in the Hexatic Phase of Cold Polar Molecules
journal, June 2014

Controlled state-to-state atom-exchange reaction in an ultracold atom–dimer mixture
journal, April 2017

Quantum-State Controlled Chemical Reactions of Ultracold Potassium-Rubidium Molecules
journal, February 2010

Cold polar molecules in two-dimensional traps: Tailoring interactions with external fields for novel quantum phases
journal, October 2007

Continuous probing of cold complex molecules with infrared frequency comb spectroscopy
journal, May 2016

An optical lattice clock with accuracy and stability at the 10−18 level
journal, January 2014

Rotational Feshbach Resonances in Ultracold Molecular Collisions
journal, October 2002

Statistical product distributions for ultracold reactions in external fields
journal, November 2014

Quantum reactive scattering in three dimensions using hyperspherical (APH) coordinates. Theory
journal, October 1987

Lifetime Matrix in Collision Theory
journal, April 1960

Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
journal, January 2002

Non-sticking of helium buffer gas to hydrocarbons
journal, March 2015

Statistical Theory of the Energy Levels of Complex Systems. I
journal, January 1962

Chaotic scattering in the presence of a dense set of overlapping Feshbach resonances
journal, August 2015

Fluctuations of Nuclear Cross Sections in the "Continuum" Region
journal, November 1960

Quantum chaos in ultracold collisions between $Yb (^{1} S_{0})$ and $Yb (^{3} P_{2})$
journal, February 2016

Quasiclassical method for calculating the density of states of ultracold collision complexes
journal, September 2019

Model for scattering with proliferating resonances: Many coupled square wells
journal, December 2018

Time delays in ultracold atomic and molecular collisions
journal, October 2019

Observation of magnetically tunable Feshbach resonances in ultracold ²³ Na ⁴⁰ K + ⁴⁰ K collisions
journal, January 2019