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Quantum heat statistics with time-evolving matrix product operators
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dc.contributor.author | Popovic, Maria | |
dc.contributor.author | Mitchison, Mark | |
dc.contributor.author | Strathearn, Aidan | |
dc.contributor.author | Lovett, Brendon W. | |
dc.contributor.author | Goold, John | |
dc.contributor.author | Eastham, Paul | |
dc.date.accessioned | 2021-06-16T16:30:02Z | |
dc.date.available | 2021-06-16T16:30:02Z | |
dc.date.issued | 2021-06-10 | |
dc.identifier | 274658763 | |
dc.identifier | 9f60b455-dcb4-4754-875d-1f9f51e57c37 | |
dc.identifier | 000674752500001 | |
dc.identifier | 85109061453 | |
dc.identifier.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 | en |
dc.identifier.issn | 2691-3399 | |
dc.identifier.other | ArXiv: http://arxiv.org/abs/2008.06491v3 | |
dc.identifier.other | ORCID: /0000-0001-5142-9585/work/95772559 | |
dc.identifier.uri | https://hdl.handle.net/10023/23374 | |
dc.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). | en |
dc.description.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. | |
dc.format.extent | 18 | |
dc.format.extent | 1327201 | |
dc.language.iso | eng | |
dc.relation.ispartof | PRX Quantum | en |
dc.subject | QC Physics | en |
dc.subject | TK Electrical engineering. Electronics Nuclear engineering | en |
dc.subject | DAS | en |
dc.subject.lcc | QC | en |
dc.subject.lcc | TK | en |
dc.title | Quantum heat statistics with time-evolving matrix product operators | en |
dc.type | Journal article | en |
dc.contributor.sponsor | EPSRC | en |
dc.contributor.institution | University of St Andrews. School of Physics and Astronomy | en |
dc.identifier.doi | https://doi.org/10.1103/PRXQuantum.2.020338 | |
dc.description.status | Peer reviewed | en |
dc.identifier.grantnumber | EP/T014032/1 | en |
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