Quantum kinetic theory of a Bose-Einstein gas confined in a lattice

We extend our earlier work on the nonequilibrium dynamics of a Bose-Einstein condensate initially loaded into a one-dimensional optical lattice. From the two-particle-irreducible (2PI) closed-time-path (CTP) effective action for the Bose-Hubbard Hamiltonian we derive causal equations of motion that...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Rey, A.M., Hu, B.L., Calzetta, E., Clark, C.W.
Formato:	JOUR
Materias:	Bose-Einstein condensate Closed-time-path (CTP) Nonequilibrium dynamics Quantum fluctuations Approximation theory Condensation Kinetic energy Molecular physics Nonlinear equations Quantum theory Quantum optics
Acceso en línea:	http://hdl.handle.net/20.500.12110/paper_10502947_v72_n2_p_Rey
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	todo:paper_10502947_v72_n2_p_Rey
record_format	dspace
spelling	todo:paper_10502947_v72_n2_p_Rey2023-10-03T15:59:43Z Quantum kinetic theory of a Bose-Einstein gas confined in a lattice Rey, A.M. Hu, B.L. Calzetta, E. Clark, C.W. Bose-Einstein condensate Closed-time-path (CTP) Nonequilibrium dynamics Quantum fluctuations Approximation theory Condensation Kinetic energy Molecular physics Nonlinear equations Quantum theory Quantum optics We extend our earlier work on the nonequilibrium dynamics of a Bose-Einstein condensate initially loaded into a one-dimensional optical lattice. From the two-particle-irreducible (2PI) closed-time-path (CTP) effective action for the Bose-Hubbard Hamiltonian we derive causal equations of motion that treat mean-field effects and quantum fluctuations on an equal footing. We demonstrate that these equations reproduce well-known limits when simplifying approximations are introduced. For example, when the system dynamics admits two-time separation, we obtain the Kadanoff-Baym equations of quantum kinetic theory, and in the weakly interacting limit, we show that the local equilibrium solutions of our equations reproduce the second-order corrections to the self-energy of the type originally derived by Beliaev. The derivation of quantum kinetic equations from the 2PI-CTP effective action not only checks the viability of the formalism but also shows it to be a tractable framework for going beyond standard Boltzmann equations of motion. Fil:Calzetta, E. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_10502947_v72_n2_p_Rey
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Bose-Einstein condensate Closed-time-path (CTP) Nonequilibrium dynamics Quantum fluctuations Approximation theory Condensation Kinetic energy Molecular physics Nonlinear equations Quantum theory Quantum optics
spellingShingle	Bose-Einstein condensate Closed-time-path (CTP) Nonequilibrium dynamics Quantum fluctuations Approximation theory Condensation Kinetic energy Molecular physics Nonlinear equations Quantum theory Quantum optics Rey, A.M. Hu, B.L. Calzetta, E. Clark, C.W. Quantum kinetic theory of a Bose-Einstein gas confined in a lattice
topic_facet	Bose-Einstein condensate Closed-time-path (CTP) Nonequilibrium dynamics Quantum fluctuations Approximation theory Condensation Kinetic energy Molecular physics Nonlinear equations Quantum theory Quantum optics
description	We extend our earlier work on the nonequilibrium dynamics of a Bose-Einstein condensate initially loaded into a one-dimensional optical lattice. From the two-particle-irreducible (2PI) closed-time-path (CTP) effective action for the Bose-Hubbard Hamiltonian we derive causal equations of motion that treat mean-field effects and quantum fluctuations on an equal footing. We demonstrate that these equations reproduce well-known limits when simplifying approximations are introduced. For example, when the system dynamics admits two-time separation, we obtain the Kadanoff-Baym equations of quantum kinetic theory, and in the weakly interacting limit, we show that the local equilibrium solutions of our equations reproduce the second-order corrections to the self-energy of the type originally derived by Beliaev. The derivation of quantum kinetic equations from the 2PI-CTP effective action not only checks the viability of the formalism but also shows it to be a tractable framework for going beyond standard Boltzmann equations of motion.
format	JOUR
author	Rey, A.M. Hu, B.L. Calzetta, E. Clark, C.W.
author_facet	Rey, A.M. Hu, B.L. Calzetta, E. Clark, C.W.
author_sort	Rey, A.M.
title	Quantum kinetic theory of a Bose-Einstein gas confined in a lattice
title_short	Quantum kinetic theory of a Bose-Einstein gas confined in a lattice
title_full	Quantum kinetic theory of a Bose-Einstein gas confined in a lattice
title_fullStr	Quantum kinetic theory of a Bose-Einstein gas confined in a lattice
title_full_unstemmed	Quantum kinetic theory of a Bose-Einstein gas confined in a lattice
title_sort	quantum kinetic theory of a bose-einstein gas confined in a lattice
url	http://hdl.handle.net/20.500.12110/paper_10502947_v72_n2_p_Rey
work_keys_str_mv	AT reyam quantumkinetictheoryofaboseeinsteingasconfinedinalattice AT hubl quantumkinetictheoryofaboseeinsteingasconfinedinalattice AT calzettae quantumkinetictheoryofaboseeinsteingasconfinedinalattice AT clarkcw quantumkinetictheoryofaboseeinsteingasconfinedinalattice
_version_	1807319932117975040

Quantum kinetic theory of a Bose-Einstein gas confined in a lattice

Ejemplares similares