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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:
 [1];  [1]; ORCiD logo [2]
  1. Univ. of Nevada, Las Vegas, NV (United States). Dept. of Chemistry
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
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.
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.
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.
@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}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 3 works
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Figures / Tables:

FIG. 1 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.

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Works referenced in this record:

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 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

  • 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


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

  • 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


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

  • 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


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

  • 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


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


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


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

  • 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


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

  • 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


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

  • 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


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


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


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


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


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

  • 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


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

  • 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


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

  • 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


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


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


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


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


    Works referencing / citing this record:

    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


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