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...

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Autor principal:	Calzetta, Esteban Adolfo
Publicado:	2005
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:	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v72_n2_p_Rey 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	paper:paper_10502947_v72_n2_p_Rey
record_format	dspace
spelling	paper:paper_10502947_v72_n2_p_Rey2023-06-08T16:02:17Z Quantum kinetic theory of a Bose-Einstein gas confined in a lattice Calzetta, Esteban Adolfo 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. 2005 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v72_n2_p_Rey 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 Calzetta, Esteban Adolfo 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.
author	Calzetta, Esteban Adolfo
author_facet	Calzetta, Esteban Adolfo
author_sort	Calzetta, Esteban Adolfo
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
publishDate	2005
url	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v72_n2_p_Rey http://hdl.handle.net/20.500.12110/paper_10502947_v72_n2_p_Rey
work_keys_str_mv	AT calzettaestebanadolfo quantumkinetictheoryofaboseeinsteingasconfinedinalattice
_version_	1768545060713922560

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

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