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Title: The geometric phase controls ultracold chemistry

Abstract

In this study, the geometric phase is shown to control the outcome of an ultracold chemical reaction. The control is a direct consequence of the sign change on the interference term between two scattering pathways (direct and looping), which contribute to the reactive collision process in the presence of a conical intersection (point of degeneracy between two Born–Oppenheimer electronic potential energy surfaces). The unique properties of the ultracold energy regime lead to an effective quantization of the scattering phase shift enabling maximum constructive or destructive interference between the two pathways. By taking the O + OH → H + O2 reaction as an illustrative example, it is shown that inclusion of the geometric phase modifies ultracold reaction rates by nearly two orders of magnitude. Interesting experimental control possibilities include the application of external electric and magnetic fields that might be used to exploit the geometric phase effect reported here and experimentally switch on or off the reactivity.

Authors:
 [1];  [2];  [2]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  2. Univ. of Nevada, Las Vegas, NV (United States)
Publication Date:
Research Org.:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1235941
Report Number(s):
LA-UR-15-24052
Journal ID: ISSN 2041-1723; ncomms8918; TRN: US1600419
Grant/Contract Number:  
AC52-06NA25396
Resource Type:
Accepted Manuscript
Journal Name:
Nature Communications
Additional Journal Information:
Journal Volume: 6; Journal ID: ISSN 2041-1723
Publisher:
Nature Publishing Group
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY; chemical sciences; physical chemistry; atomic and molecular physics; theoretical physics

Citation Formats

Kendrick, B. K., Hazra, Jisha, and Balakrishnan, N. The geometric phase controls ultracold chemistry. United States: N. p., 2015. Web. doi:10.1038/ncomms8918.
Kendrick, B. K., Hazra, Jisha, & Balakrishnan, N. The geometric phase controls ultracold chemistry. United States. https://doi.org/10.1038/ncomms8918
Kendrick, B. K., Hazra, Jisha, and Balakrishnan, N. Thu . "The geometric phase controls ultracold chemistry". United States. https://doi.org/10.1038/ncomms8918. https://www.osti.gov/servlets/purl/1235941.
@article{osti_1235941,
title = {The geometric phase controls ultracold chemistry},
author = {Kendrick, B. K. and Hazra, Jisha and Balakrishnan, N.},
abstractNote = {In this study, the geometric phase is shown to control the outcome of an ultracold chemical reaction. The control is a direct consequence of the sign change on the interference term between two scattering pathways (direct and looping), which contribute to the reactive collision process in the presence of a conical intersection (point of degeneracy between two Born–Oppenheimer electronic potential energy surfaces). The unique properties of the ultracold energy regime lead to an effective quantization of the scattering phase shift enabling maximum constructive or destructive interference between the two pathways. By taking the O + OH → H + O2 reaction as an illustrative example, it is shown that inclusion of the geometric phase modifies ultracold reaction rates by nearly two orders of magnitude. Interesting experimental control possibilities include the application of external electric and magnetic fields that might be used to exploit the geometric phase effect reported here and experimentally switch on or off the reactivity.},
doi = {10.1038/ncomms8918},
journal = {Nature Communications},
number = ,
volume = 6,
place = {United States},
year = {Thu Jul 30 00:00:00 EDT 2015},
month = {Thu Jul 30 00:00:00 EDT 2015}
}

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Works referenced in this record:

Phase Space Manipulation of Cold Free Radical OH Molecules
journal, December 2003


Geometric phase for collinear conical intersections. I. Geometric phase angle and vector potentials
journal, February 2011

  • Li, Xuan; Brue, Daniel A.; Kendrick, Brian K.
  • The Journal of Chemical Physics, Vol. 134, Issue 6
  • DOI: 10.1063/1.3549725

Interactions and dynamics in Li + Li_2 ultracold collisions
text, January 2007


On the Behavior of Cross Sections Near Thresholds
journal, May 1948


Magnetoelectrostatic Trapping of Ground State OH Molecules
journal, June 2007


Quantum reactive scattering calculations for the D+H2→HD+H reaction
journal, June 2003

  • Kendrick, Brian K.
  • The Journal of Chemical Physics, Vol. 118, Issue 23
  • DOI: 10.1063/1.1573183

Ultracold collisions and reactions of vibrationally excited OH radicals with oxygen atoms
journal, January 2011

  • Juanes-Marcos, Juan Carlos; Quéméner, Goulven; Kendrick, Brian K.
  • Physical Chemistry Chemical Physics, Vol. 13, Issue 42
  • DOI: 10.1039/c1cp21141b

Evaporative cooling of the dipolar hydroxyl radical
journal, December 2012

  • Stuhl, Benjamin K.; Hummon, Matthew T.; Yeo, Mark
  • Nature, Vol. 492, Issue 7429
  • DOI: 10.1038/nature11718

Superposition of reactive and nonreactive scattering amplitudes in the presence of a conical intersection
journal, March 1980

  • Mead, C. Alden
  • The Journal of Chemical Physics, Vol. 72, Issue 6
  • DOI: 10.1063/1.439600

Deceleration and electrostatic trapping of OH radicals
text, January 2004


Geometric phase effects in the H+D2→HD+D reaction
journal, April 2000

  • Kendrick, Brian K.
  • The Journal of Chemical Physics, Vol. 112, Issue 13
  • DOI: 10.1063/1.481143

Geometric phase effects in the resonance spectrum, state-to-state transition probabilities and bound state spectrum of HO 2
journal, March 1997

  • Kendrick, Brian; Pack, Russell T.
  • The Journal of Chemical Physics, Vol. 106, Issue 9
  • DOI: 10.1063/1.473449

Geometric phase effects in H+O 2 scattering. I. Surface function solutions in the presence of a conical intersection
journal, May 1996

  • Kendrick, Brian; Pack, Russell T.
  • The Journal of Chemical Physics, Vol. 104, Issue 19
  • DOI: 10.1063/1.471460

A new ab initio potential-energy surface of HO2(X2A″) and quantum studies of HO2 vibrational spectrum and rate constants for the H+O2↔O+OH reactions
journal, June 2005

  • Xu, Chuanxiu; Xie, Daiqian; Zhang, Dong Hui
  • The Journal of Chemical Physics, Vol. 122, Issue 24
  • DOI: 10.1063/1.1944290

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

Cold and Ultracold Molecules: Science, Technology, and Applications
text, January 2009


Influence of the Geometric Phase and Non-Adiabatic Couplings on the Dynamics of the H+H2 Molecular System
book, January 2009


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

On the determination of Born–Oppenheimer nuclear motion wave functions including complications due to conical intersections and identical nuclei
journal, March 1979

  • Mead, C. Alden; Truhlar, Donald G.
  • The Journal of Chemical Physics, Vol. 70, Issue 5
  • DOI: 10.1063/1.437734

Theory of Disintegration of Nuclei by Neutrons
journal, May 1935


Studies of the Jahn-Teller effect .II. The dynamical problem
journal, February 1958

  • Longuet-Higgins, Hugh Christopher; Öpik, U.; Lecorney Pryce, Maurice Henry
  • Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 244, Issue 1236, p. 1-16
  • DOI: 10.1098/rspa.1958.0022

Quantum reactive scattering calculations for the H+D2→HD+D reaction
journal, May 2001

  • Kendrick, Brian K.
  • The Journal of Chemical Physics, Vol. 114, Issue 20
  • DOI: 10.1063/1.1367377

Interactions and dynamics in Li+Li2 ultracold collisions
journal, August 2007

  • Cvitaš, Marko T.; Soldán, Pavel; Hutson, Jeremy M.
  • The Journal of Chemical Physics, Vol. 127, Issue 7
  • DOI: 10.1063/1.2752162

Hunt for geometric phase effects in H + HD → HD( v ′, j′ ) + H
journal, October 2013

  • Jankunas, Justin; Sneha, Mahima; Zare, Richard N.
  • The Journal of Chemical Physics, Vol. 139, Issue 14
  • DOI: 10.1063/1.4821601

Cold and ultracold molecules: science, technology and applications
journal, May 2009


Deceleration and Electrostatic Trapping of OH Radicals
journal, January 2005

  • van de Meerakker, Sebastiaan Y. T.; Smeets, Paul H. M.; Vanhaecke, Nicolas
  • Physical Review Letters, Vol. 94, Issue 2
  • DOI: 10.1103/PhysRevLett.94.023004

Numerical study of the geometric phase in the H+H2 reaction
journal, March 1990


Geometric phase effects in the H+H2 reaction: Quantum wave-packet calculations of integral and differential cross sections
journal, May 2005

  • Juanes-Marcos, Juan Carlos; Althorpe, Stuart C.
  • The Journal of Chemical Physics, Vol. 122, Issue 20
  • DOI: 10.1063/1.1924411

Ultracold Rb-OH collisions and prospects for sympathetic cooling
text, January 2006


Potential energy surfaces for the low‐lying 2 A ‘ and 2 A ’ States of HO 2 : Use of the diatomics in molecules model to fit ab initio data
journal, February 1995

  • Kendrick, Brian; Pack, Russell T.
  • The Journal of Chemical Physics, Vol. 102, Issue 5
  • DOI: 10.1063/1.468765

Quantum dynamics study on the CHIPR potential energy surface for the hydroperoxyl radical: The reactions O + OH⇋O 2 + H
journal, January 2015

  • Teixidor, Marc Moix; Varandas, António J. C.
  • The Journal of Chemical Physics, Vol. 142, Issue 1
  • DOI: 10.1063/1.4905292

Theoretical Study of Geometric Phase Effects in the Hydrogen-Exchange Reaction
journal, August 2005


Chemical reaction versus vibrational quenching in low energy collisions of vibrationally excited OH with O
journal, November 2013

  • Pradhan, G. B.; Juanes-Marcos, J. C.; Balakrishnan, N.
  • The Journal of Chemical Physics, Vol. 139, Issue 19
  • DOI: 10.1063/1.4830398

Quantal Phase Factors Accompanying Adiabatic Changes
journal, March 1984

  • Berry, M. V.
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 392, Issue 1802
  • DOI: 10.1098/rspa.1984.0023

Quantum dynamics of the O+OH→H+O2 reaction at low temperatures
journal, December 2008

  • Quéméner, Goulven; Balakrishnan, Naduvalath; Kendrick, Brian K.
  • The Journal of Chemical Physics, Vol. 129, Issue 22
  • DOI: 10.1063/1.3035904

Accurate quantum calculations on three-body collisions in recombination and collision-induced dissociation. I. Converged probabilities for the H+Ne2 system
journal, October 2002

  • Parker, Gregory A.; Walker, Robert B.; Kendrick, Brian K.
  • The Journal of Chemical Physics, Vol. 117, Issue 13
  • DOI: 10.1063/1.1503313

Geometric Phase Effects in Chemical Reaction Dynamics and Molecular Spectra
journal, September 2003

  • Kendrick, Brian K.
  • The Journal of Physical Chemistry A, Vol. 107, Issue 35
  • DOI: 10.1021/jp021865x

Strong geometric-phase effects in the hydrogen-exchange reaction at high collision energies
journal, March 2008

  • Bouakline, Foudhil; Althorpe, Stuart C.; Peláez Ruiz, Daniel
  • The Journal of Chemical Physics, Vol. 128, Issue 12
  • DOI: 10.1063/1.2897920

Effect of the geometric phase on nuclear dynamics at a conical intersection: Extension of a recent topological approach from one to two coupled surfaces
journal, December 2008

  • Althorpe, Stuart C.; Stecher, Thomas; Bouakline, Foudhil
  • The Journal of Chemical Physics, Vol. 129, Issue 21
  • DOI: 10.1063/1.3031215

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


Formation of molecular oxygen in ultracold O + O H collisions
journal, February 2009

  • Quéméner, Goulven; Balakrishnan, Naduvalath; Kendrick, Brian K.
  • Physical Review A, Vol. 79, Issue 2
  • DOI: 10.1103/PhysRevA.79.022703

Ultracold Molecules under Control!
journal, April 2012

  • Quéméner, Goulven; Julienne, Paul S.
  • Chemical Reviews, Vol. 112, Issue 9
  • DOI: 10.1021/cr300092g

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

General explanation of geometric phase effects in reactive systems: Unwinding the nuclear wave function using simple topology
journal, February 2006

  • Althorpe, Stuart C.
  • The Journal of Chemical Physics, Vol. 124, Issue 8
  • DOI: 10.1063/1.2161220

Strong geometric-phase effects in the hydrogen-exchange reaction at high collision energies: II. Quasiclassical trajectory analysis
journal, April 2010

  • Bouakline, Foudhil; Althorpe, Stuart C.; Larregaray, Pascal
  • Molecular Physics, Vol. 108, Issue 7-9
  • DOI: 10.1080/00268971003610218

Ultracold chemistry with alkali-metal-rare-earth molecules
text, January 2014


Ultracold Rb-OH Collisions and Prospects for Sympathetic Cooling
journal, November 2006


Intersection of potential energy surfaces in polyatomic molecules
journal, January 1963

  • Herzberg, G.; Longuet-Higgins, H. C.
  • Discussions of the Faraday Society, Vol. 35
  • DOI: 10.1039/df9633500077

Kinetics of the Radical−Radical Reaction, O( 3 P J ) + OH(X 2 Π Ω ) → O 2 + H, at Temperatures down to 39 K
journal, March 2006

  • Carty, David; Goddard, Andrew; Köhler, Sven P. K.
  • The Journal of Physical Chemistry A, Vol. 110, Issue 9
  • DOI: 10.1021/jp054429u

Ultracold Molecules under Control!
journal, April 2012

  • Quéméner, Goulven; Julienne, Paul S.
  • Chemical Reviews, Vol. 112, Issue 9
  • DOI: 10.1021/cr300092g

Kinetics of the Radical−Radical Reaction, O( 3 P J ) + OH(X 2 Π Ω ) → O 2 + H, at Temperatures down to 39 K
journal, March 2006

  • Carty, David; Goddard, Andrew; Köhler, Sven P. K.
  • The Journal of Physical Chemistry A, Vol. 110, Issue 9
  • DOI: 10.1021/jp054429u

Intersection of potential energy surfaces in polyatomic molecules
journal, January 1963

  • Herzberg, G.; Longuet-Higgins, H. C.
  • Discussions of the Faraday Society, Vol. 35
  • DOI: 10.1039/df9633500077

A new ab initio potential-energy surface of HO2(X2A″) and quantum studies of HO2 vibrational spectrum and rate constants for the H+O2↔O+OH reactions
journal, June 2005

  • Xu, Chuanxiu; Xie, Daiqian; Zhang, Dong Hui
  • The Journal of Chemical Physics, Vol. 122, Issue 24
  • DOI: 10.1063/1.1944290

General explanation of geometric phase effects in reactive systems: Unwinding the nuclear wave function using simple topology
journal, February 2006

  • Althorpe, Stuart C.
  • The Journal of Chemical Physics, Vol. 124, Issue 8
  • DOI: 10.1063/1.2161220

Effect of the geometric phase on nuclear dynamics at a conical intersection: Extension of a recent topological approach from one to two coupled surfaces
journal, December 2008

  • Althorpe, Stuart C.; Stecher, Thomas; Bouakline, Foudhil
  • The Journal of Chemical Physics, Vol. 129, Issue 21
  • DOI: 10.1063/1.3031215

Geometric phase for collinear conical intersections. I. Geometric phase angle and vector potentials
journal, February 2011

  • Li, Xuan; Brue, Daniel A.; Kendrick, Brian K.
  • The Journal of Chemical Physics, Vol. 134, Issue 6
  • DOI: 10.1063/1.3549725

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

Hunt for geometric phase effects in H + HD → HD( v ′, j′ ) + H
journal, October 2013

  • Jankunas, Justin; Sneha, Mahima; Zare, Richard N.
  • The Journal of Chemical Physics, Vol. 139, Issue 14
  • DOI: 10.1063/1.4821601

Chemical reaction versus vibrational quenching in low energy collisions of vibrationally excited OH with O
journal, November 2013

  • Pradhan, G. B.; Juanes-Marcos, J. C.; Balakrishnan, N.
  • The Journal of Chemical Physics, Vol. 139, Issue 19
  • DOI: 10.1063/1.4830398

Quantum dynamics study on the CHIPR potential energy surface for the hydroperoxyl radical: The reactions O + OH⇋O 2 + H
journal, January 2015

  • Teixidor, Marc Moix; Varandas, António J. C.
  • The Journal of Chemical Physics, Vol. 142, Issue 1
  • DOI: 10.1063/1.4905292

Strong geometric-phase effects in the hydrogen-exchange reaction at high collision energies: II. Quasiclassical trajectory analysis
journal, April 2010

  • Bouakline, Foudhil; Althorpe, Stuart C.; Larregaray, Pascal
  • Molecular Physics, Vol. 108, Issue 7-9
  • DOI: 10.1080/00268971003610218

Cold and ultracold molecules: science, technology and applications
journal, May 2009


Interactions and dynamics in Li + Li_2 ultracold collisions
text, January 2007


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Emergence of the geometric phase from quantum measurement back-action
journal, April 2019


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journal, October 2018


Topological classification of molecules and chemical reactions with a perplectic structure
journal, January 2020


Modulating hydrogen diffusion on metal surfaces by nonadiabatic transitions
journal, June 2019


Geometric phase from Aharonov–Bohm to Pancharatnam–Berry and beyond
journal, June 2019


Several levels of theory for description of isotope effects in ozone: Effect of resonance lifetimes and channel couplings
journal, October 2018

  • Teplukhin, Alexander; Gayday, Igor; Babikov, Dmitri
  • The Journal of Chemical Physics, Vol. 149, Issue 16
  • DOI: 10.1063/1.5042590

Non-adiabatic quantum reactive scattering in hyperspherical coordinates
journal, January 2018

  • Kendrick, Brian K.
  • The Journal of Chemical Physics, Vol. 148, Issue 4
  • DOI: 10.1063/1.5014989

Geometric phase effects on photodissociation dynamics of diatomics
journal, December 2018

  • Sun, Zhaopeng; Wang, Chunyang; Zhao, Wenkai
  • The Journal of Chemical Physics, Vol. 149, Issue 22
  • DOI: 10.1063/1.5052514

Quantum wavepacket method for state-to-state reactive cross sections in hyperspherical coordinates
journal, November 2018

  • Zhao, Hailin; Hu, Xixi; Xie, Daiqian
  • The Journal of Chemical Physics, Vol. 149, Issue 17
  • DOI: 10.1063/1.5042066

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

Observation of pendular butterfly Rydberg molecules
journal, October 2016

  • Niederprüm, Thomas; Thomas, Oliver; Eichert, Tanita
  • Nature Communications, Vol. 7, Issue 1
  • DOI: 10.1038/ncomms12820

Quantum ergodicity and energy flow in molecules
journal, July 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

Observation of pendular butterfly Rydberg molecules
text, January 2016