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:
-
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- 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}
}
Web of Science
Works referenced in this record:
Phase Space Manipulation of Cold Free Radical OH Molecules
journal, December 2003
- Bochinski, J. R.; Hudson, Eric R.; Lewandowski, H. J.
- Physical Review Letters, Vol. 91, Issue 24
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
Investigation of geometric phase effects in photodissociation dynamics at a conical intersection
journal, October 2014
- Bouakline, Foudhil
- Chemical Physics, Vol. 442
Interactions and dynamics in Li + Li_2 ultracold collisions
text, January 2007
- Cvitas, Marko T.; Soldan, Pavel; Hutson, Jeremy M.
- arXiv
On the Behavior of Cross Sections Near Thresholds
journal, May 1948
- Wigner, Eugene P.
- Physical Review, Vol. 73, Issue 9
Magnetoelectrostatic Trapping of Ground State OH Molecules
journal, June 2007
- Sawyer, Brian C.; Lev, Benjamin L.; Hudson, Eric R.
- Physical Review Letters, Vol. 98, Issue 25
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
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
Evaporative cooling of the dipolar hydroxyl radical
journal, December 2012
- Stuhl, Benjamin K.; Hummon, Matthew T.; Yeo, Mark
- Nature, Vol. 492, Issue 7429
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
Deceleration and electrostatic trapping of OH radicals
text, January 2004
- van de Meerakker, Sebastiaan Y. T.; Smeets, Paul H. M.; Vanhaecke, Nicolas
- arXiv
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
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
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
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
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
Cold and Ultracold Molecules: Science, Technology, and Applications
text, January 2009
- Carr, Lincoln D.; DeMille, David; Krems, Roman V.
- arXiv
Influence of the Geometric Phase and Non-Adiabatic Couplings on the Dynamics of the H+H2 Molecular System
book, January 2009
- Bouakline, Foudhil; Lepetit, Bruno; Althorpe, Stuart C.
- Springer Series in Chemical Physics
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
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
Theory of Disintegration of Nuclei by Neutrons
journal, May 1935
- Bethe, H. A.
- Physical Review, Vol. 47, Issue 10
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
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
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
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
Cold and ultracold molecules: science, technology and applications
journal, May 2009
- Carr, Lincoln D.; DeMille, David; Krems, Roman V.
- New Journal of Physics, Vol. 11, Issue 5
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
Numerical study of the geometric phase in the H+H2 reaction
journal, March 1990
- Lepetit, B.; Kuppermann, A.
- Chemical Physics Letters, Vol. 166, Issue 5-6
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
Accurate combined-hyperbolic-inverse-power-representation of ab initio potential energy surface for the hydroperoxyl radical and dynamics study of O+OH reaction
journal, April 2013
- Varandas, A. J. C.
- The Journal of Chemical Physics, Vol. 138, Issue 13
Ultracold Rb-OH collisions and prospects for sympathetic cooling
text, January 2006
- Lara, M.; Bohn, J. L.; Potter, D.
- arXiv
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
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
Theoretical Study of Geometric Phase Effects in the Hydrogen-Exchange Reaction
journal, August 2005
- Juanes-Marcos, J. C.
- Science, Vol. 309, Issue 5738
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
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
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
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
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
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
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
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
Formation of molecular oxygen in ultracold collisions
journal, February 2009
- Quéméner, Goulven; Balakrishnan, Naduvalath; Kendrick, Brian K.
- Physical Review A, Vol. 79, Issue 2
Ultracold Molecules under Control!
journal, April 2012
- Quéméner, Goulven; Julienne, Paul S.
- Chemical Reviews, Vol. 112, Issue 9
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
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
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
Ultracold chemistry with alkali-metal-rare-earth molecules
text, January 2014
- Makrides, C.; Hazra, J.; Pradhan, G. B.
- arXiv
Ultracold Rb-OH Collisions and Prospects for Sympathetic Cooling
journal, November 2006
- Lara, Manuel; Bohn, John L.; Potter, Daniel
- Physical Review Letters, Vol. 97, Issue 18
Intersection of potential energy surfaces in polyatomic molecules
journal, January 1963
- Herzberg, G.; Longuet-Higgins, H. C.
- Discussions of the Faraday Society, Vol. 35
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
Investigation of geometric phase effects in photodissociation dynamics at a conical intersection
journal, October 2014
- Bouakline, Foudhil
- Chemical Physics, Vol. 442
Ultracold Molecules under Control!
journal, April 2012
- Quéméner, Goulven; Julienne, Paul S.
- Chemical Reviews, Vol. 112, Issue 9
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
Intersection of potential energy surfaces in polyatomic molecules
journal, January 1963
- Herzberg, G.; Longuet-Higgins, H. C.
- Discussions of the Faraday Society, Vol. 35
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
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
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
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
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
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
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
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
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
Cold and ultracold molecules: science, technology and applications
journal, May 2009
- Carr, Lincoln D.; DeMille, David; Krems, Roman V.
- New Journal of Physics, Vol. 11, Issue 5
Interactions and dynamics in Li + Li_2 ultracold collisions
text, January 2007
- Cvitas, Marko T.; Soldan, Pavel; Hutson, Jeremy M.
- arXiv
Works referencing / citing this record:
Emergence of the geometric phase from quantum measurement back-action
journal, April 2019
- Cho, Young-Wook; Kim, Yosep; Choi, Yeon-Ho
- Nature Physics, Vol. 15, Issue 7
Atom-molecule collisions, spin relaxation, and sympathetic cooling in an ultracold spin-polarized mixture
journal, October 2018
- Morita, Masato; Kosicki, Maciej B.; Żuchowski, Piotr S.
- Physical Review A, Vol. 98, Issue 4
Topological classification of molecules and chemical reactions with a perplectic structure
journal, January 2020
- Muechler, Lukas
- Physical Review B, Vol. 101, Issue 4
Modulating hydrogen diffusion on metal surfaces by nonadiabatic transitions
journal, June 2019
- Tao, Guohua
- AIP Advances, Vol. 9, Issue 6
Geometric phase from Aharonov–Bohm to Pancharatnam–Berry and beyond
journal, June 2019
- Cohen, Eliahu; Larocque, Hugo; Bouchard, Frédéric
- Nature Reviews Physics, Vol. 1, Issue 7
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
Non-adiabatic quantum reactive scattering in hyperspherical coordinates
journal, January 2018
- Kendrick, Brian K.
- The Journal of Chemical Physics, Vol. 148, Issue 4
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
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
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
Observation of pendular butterfly Rydberg molecules
journal, October 2016
- Niederprüm, Thomas; Thomas, Oliver; Eichert, Tanita
- Nature Communications, Vol. 7, Issue 1
Quantum ergodicity and energy flow in molecules
journal, July 2015
- Leitner, David M.
- Advances in Physics, Vol. 64, Issue 4
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
Observation of pendular butterfly Rydberg molecules
text, January 2016
- Niederprüm, Thomas; Thomas, Oliver; Eichert, Tanita
- arXiv