Quantum heat statistics with time-evolving matrix product operators
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2021Access:
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Popovic, M., Mitchison, M.T., Strathearn, A., Lovett, B.W., Goold, J., Eastham, P.R., Quantum heat statistics with time-evolving matrix product operators, PRX Quantum, 2021, 2, 020338Download Item:
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 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 nonperturbative regimes.
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http://people.tcd.ie/easthampDescription:
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PRX Quantum;2;
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Fluctuation theorems, Spin-boson model, Non-Markovian processes, Full counting statistics, Quantum thermodynamics, Heat transfer, Nonequilibrium & irreversible thermodynamicsSubject (TCD):
Nanoscience & Materials , DECOHERENCE , NUMERICAL METHODS , OPEN QUANTUM SYSTEMS , Theoretical Physics , ThermodynamicsDOI:
https://doi.org/10.1103/PRXQuantum.2.020338Metadata
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