Nonequilibrium Lifshitz theory as a steady state of a full dynamical quantum system

In this work we analyze the validity of Lifshitz's theory for the case of nonequilibrium scenarios from a full quantum dynamical approach. We show that Lifshitz's framework for the study of the Casimir pressure is the result of considering the long-time regime (or steady state) of a well-d...

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Autores principales: Lombardo, Fernando César, Mazzitelli, Francisco Diego
Publicado: 2016
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24700010_v94_n2_p_Lombardo
http://hdl.handle.net/20.500.12110/paper_24700010_v94_n2_p_Lombardo
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling paper:paper_24700010_v94_n2_p_Lombardo2023-06-08T16:36:25Z Nonequilibrium Lifshitz theory as a steady state of a full dynamical quantum system Lombardo, Fernando César Mazzitelli, Francisco Diego In this work we analyze the validity of Lifshitz's theory for the case of nonequilibrium scenarios from a full quantum dynamical approach. We show that Lifshitz's framework for the study of the Casimir pressure is the result of considering the long-time regime (or steady state) of a well-defined fully quantized problem, subjected to initial conditions for the electromagnetic field interacting with real materials. For this, we implement the closed time path formalism developed in previous works to study the case of two half spaces (modeled as composite environments, consisting in quantum degrees of freedom plus thermal baths) interacting with the electromagnetic field. Starting from initial uncorrelated free subsystems, we solve the full time evolution, obtaining general expressions for the different contributions to the pressure that take part on the transient stage. Using the analytic properties of the retarded Green functions, we obtain the long-time limit of these contributions to the total Casimir pressure. We show that, in the steady state, only the baths' contribute, in agreement with the results of previous works, where this was assumed without justification. We also study in detail the physics of the initial conditions' contribution and the concept of modified vacuum modes, giving insights about in which situations one would expect a nonvanishing contribution at the steady state of a nonequilibrium scenario. This would be the case when considering finite width slabs instead of half-spaces. © 2016 American Physical Society. Fil:Lombardo, F.C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Mazzitelli, F.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2016 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24700010_v94_n2_p_Lombardo http://hdl.handle.net/20.500.12110/paper_24700010_v94_n2_p_Lombardo
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description In this work we analyze the validity of Lifshitz's theory for the case of nonequilibrium scenarios from a full quantum dynamical approach. We show that Lifshitz's framework for the study of the Casimir pressure is the result of considering the long-time regime (or steady state) of a well-defined fully quantized problem, subjected to initial conditions for the electromagnetic field interacting with real materials. For this, we implement the closed time path formalism developed in previous works to study the case of two half spaces (modeled as composite environments, consisting in quantum degrees of freedom plus thermal baths) interacting with the electromagnetic field. Starting from initial uncorrelated free subsystems, we solve the full time evolution, obtaining general expressions for the different contributions to the pressure that take part on the transient stage. Using the analytic properties of the retarded Green functions, we obtain the long-time limit of these contributions to the total Casimir pressure. We show that, in the steady state, only the baths' contribute, in agreement with the results of previous works, where this was assumed without justification. We also study in detail the physics of the initial conditions' contribution and the concept of modified vacuum modes, giving insights about in which situations one would expect a nonvanishing contribution at the steady state of a nonequilibrium scenario. This would be the case when considering finite width slabs instead of half-spaces. © 2016 American Physical Society.
author Lombardo, Fernando César
Mazzitelli, Francisco Diego
spellingShingle Lombardo, Fernando César
Mazzitelli, Francisco Diego
Nonequilibrium Lifshitz theory as a steady state of a full dynamical quantum system
author_facet Lombardo, Fernando César
Mazzitelli, Francisco Diego
author_sort Lombardo, Fernando César
title Nonequilibrium Lifshitz theory as a steady state of a full dynamical quantum system
title_short Nonequilibrium Lifshitz theory as a steady state of a full dynamical quantum system
title_full Nonequilibrium Lifshitz theory as a steady state of a full dynamical quantum system
title_fullStr Nonequilibrium Lifshitz theory as a steady state of a full dynamical quantum system
title_full_unstemmed Nonequilibrium Lifshitz theory as a steady state of a full dynamical quantum system
title_sort nonequilibrium lifshitz theory as a steady state of a full dynamical quantum system
publishDate 2016
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24700010_v94_n2_p_Lombardo
http://hdl.handle.net/20.500.12110/paper_24700010_v94_n2_p_Lombardo
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