Heat operator approach to quantum stochastic thermodynamics in the strong-coupling regime
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866910080152109056 |
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| author | Mandal, Sheikh Parvez Pandit, Mahasweta Mahadeviya, Khalak Mitchison, Mark T. Prior, Javier |
| author_facet | Mandal, Sheikh Parvez Pandit, Mahasweta Mahadeviya, Khalak Mitchison, Mark T. Prior, Javier |
| contents | Heat exchanged between an open quantum system and its environment exhibits fluctuations that carry crucial signatures of the underlying dynamics. Within the well-established two-point measurement scheme, we identify a 'heat operator,' whose moments with respect to the vacuum state of a thermofield-doubled Hilbert space correspond to the stochastic moments of the heat exchanged with a bath. This recasts heat statistics as a unitary time evolution problem, which we solve by combining chain-mapped reservoirs with tensor network propagation. In a multi-bath setup all total and bath-resolved heat moments then follow from a single pure state evolution. We employ this approach to compute transient and steady state heat fluctuations in Ohmic spin-boson models in and out of equilibrium, accessing the challenging low temperature and long memory time regimes of the environment. In the nonequilibrium case, we show a crossover in the Fano factor from super-Poissonian to nearly Poissonian statistics under strong coupling asymmetry, corresponding to thermal rectification behavior. The method applies to noninteracting (bosonic or fermionic) nonequilibrium environments with arbitrary spectral densities, offering a powerful, non-perturbative framework for understanding heat transfer in open quantum systems. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2504_10631 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Heat operator approach to quantum stochastic thermodynamics in the strong-coupling regime Mandal, Sheikh Parvez Pandit, Mahasweta Mahadeviya, Khalak Mitchison, Mark T. Prior, Javier Quantum Physics Mesoscale and Nanoscale Physics Statistical Mechanics Heat exchanged between an open quantum system and its environment exhibits fluctuations that carry crucial signatures of the underlying dynamics. Within the well-established two-point measurement scheme, we identify a 'heat operator,' whose moments with respect to the vacuum state of a thermofield-doubled Hilbert space correspond to the stochastic moments of the heat exchanged with a bath. This recasts heat statistics as a unitary time evolution problem, which we solve by combining chain-mapped reservoirs with tensor network propagation. In a multi-bath setup all total and bath-resolved heat moments then follow from a single pure state evolution. We employ this approach to compute transient and steady state heat fluctuations in Ohmic spin-boson models in and out of equilibrium, accessing the challenging low temperature and long memory time regimes of the environment. In the nonequilibrium case, we show a crossover in the Fano factor from super-Poissonian to nearly Poissonian statistics under strong coupling asymmetry, corresponding to thermal rectification behavior. The method applies to noninteracting (bosonic or fermionic) nonequilibrium environments with arbitrary spectral densities, offering a powerful, non-perturbative framework for understanding heat transfer in open quantum systems. |
| title | Heat operator approach to quantum stochastic thermodynamics in the strong-coupling regime |
| topic | Quantum Physics Mesoscale and Nanoscale Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2504.10631 |