Minimal quantum thermal machine in a bandgap environment: non-Markovian features and anti-Zeno advantage

A minimal model of a quantum thermal machine is analyzed, where a driven two level working medium (WM) is embedded in an environment (reservoir) whose spectrum possesses bandgaps. The transition frequency of the WM is periodically modulated so as to be in alternating spectral overlap with hot or col...

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Main Authors: Meng Xu, J T Stockburger, G Kurizki, J Ankerhold
Format: Article
Language:English
Published: IOP Publishing 2022-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/ac575b
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author Meng Xu
J T Stockburger
G Kurizki
J Ankerhold
author_facet Meng Xu
J T Stockburger
G Kurizki
J Ankerhold
author_sort Meng Xu
collection DOAJ
description A minimal model of a quantum thermal machine is analyzed, where a driven two level working medium (WM) is embedded in an environment (reservoir) whose spectrum possesses bandgaps. The transition frequency of the WM is periodically modulated so as to be in alternating spectral overlap with hot or cold reservoirs whose spectra are separated by a bandgap. Approximate and exact treatments supported by analytical considerations yield a complete characterization of this thermal machine in the deep quantum domain. For slow to moderate modulation, the spectral response of the reservoirs is close to equilibrium, exhibiting sideband (Floquet) resonances in the heat currents and power output. In contrast, for faster modulation, strong-coupling and non-Markovian features give rise to correlations between the WM and the reservoirs and between the two reservoirs. Power boost of strictly quantum origin (‘quantum advantage’) is then found for both continuous and segmental fast modulation that leads to the anti-Zeno effect of enhanced spectral reservoir response. Such features cannot be captured by standard Markovian treatments.
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spelling doaj.art-62f6aea775004706adb0618e5d4d81472023-08-09T14:21:06ZengIOP PublishingNew Journal of Physics1367-26302022-01-0124303500310.1088/1367-2630/ac575bMinimal quantum thermal machine in a bandgap environment: non-Markovian features and anti-Zeno advantageMeng Xu0https://orcid.org/0000-0002-2440-0645J T Stockburger1G Kurizki2J Ankerhold3Institute for Complex Quantum Systems and IQST, Ulm University , Albert-Einstein-Allee 11, D-89069 Ulm, GermanyInstitute for Complex Quantum Systems and IQST, Ulm University , Albert-Einstein-Allee 11, D-89069 Ulm, GermanyDepartment of Chemical and Biological Physics, Weizmann Institute of Science , Rehovot 7610001, IsraelInstitute for Complex Quantum Systems and IQST, Ulm University , Albert-Einstein-Allee 11, D-89069 Ulm, GermanyA minimal model of a quantum thermal machine is analyzed, where a driven two level working medium (WM) is embedded in an environment (reservoir) whose spectrum possesses bandgaps. The transition frequency of the WM is periodically modulated so as to be in alternating spectral overlap with hot or cold reservoirs whose spectra are separated by a bandgap. Approximate and exact treatments supported by analytical considerations yield a complete characterization of this thermal machine in the deep quantum domain. For slow to moderate modulation, the spectral response of the reservoirs is close to equilibrium, exhibiting sideband (Floquet) resonances in the heat currents and power output. In contrast, for faster modulation, strong-coupling and non-Markovian features give rise to correlations between the WM and the reservoirs and between the two reservoirs. Power boost of strictly quantum origin (‘quantum advantage’) is then found for both continuous and segmental fast modulation that leads to the anti-Zeno effect of enhanced spectral reservoir response. Such features cannot be captured by standard Markovian treatments.https://doi.org/10.1088/1367-2630/ac575bquantum thermal machinesquantum heat transportnon-perturbative open quantum dynamicsanti-Zeno effectspectral bandgaps
spellingShingle Meng Xu
J T Stockburger
G Kurizki
J Ankerhold
Minimal quantum thermal machine in a bandgap environment: non-Markovian features and anti-Zeno advantage
New Journal of Physics
quantum thermal machines
quantum heat transport
non-perturbative open quantum dynamics
anti-Zeno effect
spectral bandgaps
title Minimal quantum thermal machine in a bandgap environment: non-Markovian features and anti-Zeno advantage
title_full Minimal quantum thermal machine in a bandgap environment: non-Markovian features and anti-Zeno advantage
title_fullStr Minimal quantum thermal machine in a bandgap environment: non-Markovian features and anti-Zeno advantage
title_full_unstemmed Minimal quantum thermal machine in a bandgap environment: non-Markovian features and anti-Zeno advantage
title_short Minimal quantum thermal machine in a bandgap environment: non-Markovian features and anti-Zeno advantage
title_sort minimal quantum thermal machine in a bandgap environment non markovian features and anti zeno advantage
topic quantum thermal machines
quantum heat transport
non-perturbative open quantum dynamics
anti-Zeno effect
spectral bandgaps
url https://doi.org/10.1088/1367-2630/ac575b
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