Casimir force for absorbing media in an open quantum system framework: Scalar model

In this article we compute the Casimir force between two finite-width mirrors at finite temperature, working in a simplified model in 1+1 dimensions. The mirrors, considered as dissipative media, are modeled by a continuous set of harmonic oscillators which in turn are coupled to an external environ...

Descripción completa

Detalles Bibliográficos
Autores principales: Lombardo, Fernando César, Mazzitelli, Francisco Diego
Publicado: 2011
Materias:
Absorbing media
Casimir force
Casimir interactions
Dissipative media
Electromagnetic properties
External environments
Finite temperatures
Harmonic oscillators
Langevin force
Lifshitz formula
Open quantum systems
Radiation pressure
Scalar model
Simplified models
Thermal bath
Thermal equilibriums
Quantum electronics
Quantum optics
Spectral density
Mirrors
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v84_n5_p_Lombardo
http://hdl.handle.net/20.500.12110/paper_10502947_v84_n5_p_Lombardo
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_10502947_v84_n5_p_Lombardo
record_format dspace
spelling paper:paper_10502947_v84_n5_p_Lombardo2023-06-08T16:02:41Z Casimir force for absorbing media in an open quantum system framework: Scalar model Lombardo, Fernando César Mazzitelli, Francisco Diego Absorbing media Casimir force Casimir interactions Dissipative media Electromagnetic properties External environments Finite temperatures Harmonic oscillators Langevin force Lifshitz formula Open quantum systems Radiation pressure Scalar model Simplified models Thermal bath Thermal equilibriums Quantum electronics Quantum optics Spectral density Mirrors In this article we compute the Casimir force between two finite-width mirrors at finite temperature, working in a simplified model in 1+1 dimensions. The mirrors, considered as dissipative media, are modeled by a continuous set of harmonic oscillators which in turn are coupled to an external environment at thermal equilibrium. The calculation of the Casimir force is performed in the framework of the theory of open quantum systems. It is shown that the Casimir interaction has two different contributions: the usual radiation pressure from the vacuum, which is obtained for ideal mirrors without dissipation or losses, and a Langevin force associated with the noise induced by the interaction between dielectric atoms in the slabs and the thermal bath. Both contributions to the Casimir force are needed in order to reproduce the analogous Lifshitz formula in 1+1 dimensions. We also discuss the relationship between the electromagnetic properties of the mirrors and the spectral density of the environment. © 2011 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. 2011 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v84_n5_p_Lombardo http://hdl.handle.net/20.500.12110/paper_10502947_v84_n5_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)
topic Absorbing media
Casimir force
Casimir interactions
Dissipative media
Electromagnetic properties
External environments
Finite temperatures
Harmonic oscillators
Langevin force
Lifshitz formula
Open quantum systems
Radiation pressure
Scalar model
Simplified models
Thermal bath
Thermal equilibriums
Quantum electronics
Quantum optics
Spectral density
Mirrors
spellingShingle Absorbing media
Casimir force
Casimir interactions
Dissipative media
Electromagnetic properties
External environments
Finite temperatures
Harmonic oscillators
Langevin force
Lifshitz formula
Open quantum systems
Radiation pressure
Scalar model
Simplified models
Thermal bath
Thermal equilibriums
Quantum electronics
Quantum optics
Spectral density
Mirrors
Lombardo, Fernando César
Mazzitelli, Francisco Diego
Casimir force for absorbing media in an open quantum system framework: Scalar model
topic_facet Absorbing media
Casimir force
Casimir interactions
Dissipative media
Electromagnetic properties
External environments
Finite temperatures
Harmonic oscillators
Langevin force
Lifshitz formula
Open quantum systems
Radiation pressure
Scalar model
Simplified models
Thermal bath
Thermal equilibriums
Quantum electronics
Quantum optics
Spectral density
Mirrors
description In this article we compute the Casimir force between two finite-width mirrors at finite temperature, working in a simplified model in 1+1 dimensions. The mirrors, considered as dissipative media, are modeled by a continuous set of harmonic oscillators which in turn are coupled to an external environment at thermal equilibrium. The calculation of the Casimir force is performed in the framework of the theory of open quantum systems. It is shown that the Casimir interaction has two different contributions: the usual radiation pressure from the vacuum, which is obtained for ideal mirrors without dissipation or losses, and a Langevin force associated with the noise induced by the interaction between dielectric atoms in the slabs and the thermal bath. Both contributions to the Casimir force are needed in order to reproduce the analogous Lifshitz formula in 1+1 dimensions. We also discuss the relationship between the electromagnetic properties of the mirrors and the spectral density of the environment. © 2011 American Physical Society.
author Lombardo, Fernando César
Mazzitelli, Francisco Diego
author_facet Lombardo, Fernando César
Mazzitelli, Francisco Diego
author_sort Lombardo, Fernando César
title Casimir force for absorbing media in an open quantum system framework: Scalar model
title_short Casimir force for absorbing media in an open quantum system framework: Scalar model
title_full Casimir force for absorbing media in an open quantum system framework: Scalar model
title_fullStr Casimir force for absorbing media in an open quantum system framework: Scalar model
title_full_unstemmed Casimir force for absorbing media in an open quantum system framework: Scalar model
title_sort casimir force for absorbing media in an open quantum system framework: scalar model
publishDate 2011
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v84_n5_p_Lombardo
http://hdl.handle.net/20.500.12110/paper_10502947_v84_n5_p_Lombardo
work_keys_str_mv AT lombardofernandocesar casimirforceforabsorbingmediainanopenquantumsystemframeworkscalarmodel
AT mazzitellifranciscodiego casimirforceforabsorbingmediainanopenquantumsystemframeworkscalarmodel
_version_ 1768545427813040128

Ejemplares similares