Quantum and classical dynamics of a three-mode absorption refrigerator

We study the quantum and classical evolution of a system of three harmonic modes interacting via a trilinear Hamiltonian. With the modes prepared in thermal states of different temperatures, this model describes the working principle of an absorption refrigerator that transfers energy from a cold to...

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Main Authors: Stefan Nimmrichter, Jibo Dai, Alexandre Roulet, Valerio Scarani
Format: Article
Language:English
Published: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften 2017-12-01
Series:Quantum
Online Access:https://quantum-journal.org/q-2017-12-11-37/pdf/
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author Stefan Nimmrichter
Jibo Dai
Alexandre Roulet
Valerio Scarani
author_facet Stefan Nimmrichter
Jibo Dai
Alexandre Roulet
Valerio Scarani
author_sort Stefan Nimmrichter
collection DOAJ
description We study the quantum and classical evolution of a system of three harmonic modes interacting via a trilinear Hamiltonian. With the modes prepared in thermal states of different temperatures, this model describes the working principle of an absorption refrigerator that transfers energy from a cold to a hot environment at the expense of free energy provided by a high-temperature work reservoir. Inspired by a recent experimental realization with trapped ions, we elucidate key features of the coupling Hamiltonian that are relevant for the refrigerator performance. The coherent system dynamics exhibits rapid effective equilibration of the mode energies and correlations, as well as a transient enhancement of the cooling performance at short times. We find that these features can be fully reproduced in a classical framework.
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spelling doaj.art-04a628514a5e46ee9c200f8b955a09272022-12-22T01:59:45ZengVerein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenQuantum2521-327X2017-12-0113710.22331/q-2017-12-11-3710.22331/q-2017-12-11-37Quantum and classical dynamics of a three-mode absorption refrigeratorStefan NimmrichterJibo DaiAlexandre RouletValerio ScaraniWe study the quantum and classical evolution of a system of three harmonic modes interacting via a trilinear Hamiltonian. With the modes prepared in thermal states of different temperatures, this model describes the working principle of an absorption refrigerator that transfers energy from a cold to a hot environment at the expense of free energy provided by a high-temperature work reservoir. Inspired by a recent experimental realization with trapped ions, we elucidate key features of the coupling Hamiltonian that are relevant for the refrigerator performance. The coherent system dynamics exhibits rapid effective equilibration of the mode energies and correlations, as well as a transient enhancement of the cooling performance at short times. We find that these features can be fully reproduced in a classical framework.https://quantum-journal.org/q-2017-12-11-37/pdf/
spellingShingle Stefan Nimmrichter
Jibo Dai
Alexandre Roulet
Valerio Scarani
Quantum and classical dynamics of a three-mode absorption refrigerator
Quantum
title Quantum and classical dynamics of a three-mode absorption refrigerator
title_full Quantum and classical dynamics of a three-mode absorption refrigerator
title_fullStr Quantum and classical dynamics of a three-mode absorption refrigerator
title_full_unstemmed Quantum and classical dynamics of a three-mode absorption refrigerator
title_short Quantum and classical dynamics of a three-mode absorption refrigerator
title_sort quantum and classical dynamics of a three mode absorption refrigerator
url https://quantum-journal.org/q-2017-12-11-37/pdf/
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