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Quantum heat statistics with time-evolving matrix product operators

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Popovic_2021_Quantum_heat_statistics_PRXQ_2_020338_CCBY.pdf (1.265Mb)
Date
10/06/2021
Author
Popovic, Maria
Mitchison, Mark
Strathearn, Aidan
Lovett, Brendon W.
Goold, John
Eastham, Paul
Funder
EPSRC
Grant ID
EP/T014032/1
Keywords
QC Physics
TK Electrical engineering. Electronics Nuclear engineering
DAS
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Abstract
We present a numerically exact method to compute the full counting statistics of heat transfer in non-Markovian open quantum systems, which is based on the time-evolving matrix product operator (TEMPO) algorithm. This approach is applied to the paradigmatic spin-boson model in order to calculate the mean and fluctuations of the heat transferred to the environment during thermal equilibration. We show that system-reservoir correlations make a significant contribution to the heat statistics at low temperature and present a variational theory that quantitatively explains our numerical results. We also demonstrate a fluctuation-dissipation relation connecting the mean and variance of the heat distribution at high temperature. Our results reveal that system-bath interactions make a significant contribution to heat transfer even when the dynamics of the open system is effectively Markovian. The method presented here provides a flexible and general tool to predict the fluctuations of heat transfer in open quantum systems in non-perturbative regimes.
Citation
Popovic , M , Mitchison , M , Strathearn , A , Lovett , B W , Goold , J & Eastham , P 2021 , ' Quantum heat statistics with time-evolving matrix product operators ' , PRX Quantum , vol. 2 , no. 2 , 020338 . https://doi.org/10.1103/PRXQuantum.2.020338
Publication
PRX Quantum
Status
Peer reviewed
DOI
https://doi.org/10.1103/PRXQuantum.2.020338
ISSN
2691-3399
Type
Journal article
Rights
Copyright © 2021 the Author(s). Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.
Description
Funding: We acknowledge funding from the European Research Council under the European Union’s Horizon 2020 research and innovation program (ODYSSEY Grant Agreement No. 758403). J.G.is grateful for support from a SFI-Royal Society University Research Program. We also acknowledge support from the EPSRC, under Grant No. EP/T014032/1. A.S. acknowledges support the Australian Research Council Centres of Excellence for Engineered Quantum Systems (EQUS, CE170100009).
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  • University of St Andrews Research
URI
http://hdl.handle.net/10023/23374

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