Dynamics and thermodynamics of linear quantum open systems

We analyze the evolution of the quantum state of networks of quantum oscillators coupled with arbitrary external environments. We show that the reduced density matrix of the network always obeys a local master equation with a simple analytical solution. We use this to study the emergence of thermody...

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Autores principales: Martinez, E.A., Paz, J.P.
Formato: JOUR
Materias:
External environments
Low frequency behavior
Master equations
Quantum absorption
Quantum open systems
Quantum oscillators
Reduced-density matrix
Thermodynamical laws
Environmental regulations
Spectral density
Thermodynamics
Quantum theory
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00319007_v110_n13_p_Martinez
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_00319007_v110_n13_p_Martinez
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spelling todo:paper_00319007_v110_n13_p_Martinez2023-10-03T14:42:23Z Dynamics and thermodynamics of linear quantum open systems Martinez, E.A. Paz, J.P. External environments Low frequency behavior Master equations Quantum absorption Quantum open systems Quantum oscillators Reduced-density matrix Thermodynamical laws Environmental regulations Spectral density Thermodynamics Quantum theory We analyze the evolution of the quantum state of networks of quantum oscillators coupled with arbitrary external environments. We show that the reduced density matrix of the network always obeys a local master equation with a simple analytical solution. We use this to study the emergence of thermodynamical laws in the long time regime demonstrating two main results: First, we show that it is impossible to build a quantum absorption refrigerator using linear networks (thus, nonlinearity is an essential resource for such refrigerators recently studied by Levy and Kosloff and Levy et al.). Then, we show that the third law imposes constraints on the low frequency behavior of the environmental spectral densities. © 2013 American Physical Society. Fil:Paz, J.P. 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_00319007_v110_n13_p_Martinez
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic External environments
Low frequency behavior
Master equations
Quantum absorption
Quantum open systems
Quantum oscillators
Reduced-density matrix
Thermodynamical laws
Environmental regulations
Spectral density
Thermodynamics
Quantum theory
spellingShingle External environments
Low frequency behavior
Master equations
Quantum absorption
Quantum open systems
Quantum oscillators
Reduced-density matrix
Thermodynamical laws
Environmental regulations
Spectral density
Thermodynamics
Quantum theory
Martinez, E.A.
Paz, J.P.
Dynamics and thermodynamics of linear quantum open systems
topic_facet External environments
Low frequency behavior
Master equations
Quantum absorption
Quantum open systems
Quantum oscillators
Reduced-density matrix
Thermodynamical laws
Environmental regulations
Spectral density
Thermodynamics
Quantum theory
description We analyze the evolution of the quantum state of networks of quantum oscillators coupled with arbitrary external environments. We show that the reduced density matrix of the network always obeys a local master equation with a simple analytical solution. We use this to study the emergence of thermodynamical laws in the long time regime demonstrating two main results: First, we show that it is impossible to build a quantum absorption refrigerator using linear networks (thus, nonlinearity is an essential resource for such refrigerators recently studied by Levy and Kosloff and Levy et al.). Then, we show that the third law imposes constraints on the low frequency behavior of the environmental spectral densities. © 2013 American Physical Society.
format JOUR
author Martinez, E.A.
Paz, J.P.
author_facet Martinez, E.A.
Paz, J.P.
author_sort Martinez, E.A.
title Dynamics and thermodynamics of linear quantum open systems
title_short Dynamics and thermodynamics of linear quantum open systems
title_full Dynamics and thermodynamics of linear quantum open systems
title_fullStr Dynamics and thermodynamics of linear quantum open systems
title_full_unstemmed Dynamics and thermodynamics of linear quantum open systems
title_sort dynamics and thermodynamics of linear quantum open systems
url http://hdl.handle.net/20.500.12110/paper_00319007_v110_n13_p_Martinez
work_keys_str_mv AT martinezea dynamicsandthermodynamicsoflinearquantumopensystems
AT pazjp dynamicsandthermodynamicsoflinearquantumopensystems
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