Heat operator approach to quantum stochastic thermodynamics in the strong-coupling regime

• URL: http://arxiv.org/abs/2504.10631v1
• Date: Mon, 14 Apr 2025 18:26:45 GMT
• Title: Heat operator approach to quantum stochastic thermodynamics in the strong-coupling regime
• Authors: Sheikh Parvez Mandal, Mahasweta Pandit, Khalak Mahadeviya, Mark T. Mitchison, Javier Prior,
• Abstract summary: We identify a 'heat operator,' whose moments with respect to the vacuum state correspond to the moments of the heat exchanged with a thermal bath.<n>This recasts the statistics of heat statistics as a standard unitary time-evolution problem.<n>We exploit the chain mapping of thermodynamic reservoirs to compute heat fluctuations in the Ohmic spin-boson model.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Open quantum systems exchange heat with their environments and the fluctuations of this heat carry crucial signatures of the underlying dynamical processes. Within the well-established two-point measurement scheme and employing thermofield dynamics, we identify a 'heat operator,' whose moments with respect to the vacuum state correspond to the stochastic moments of the heat exchanged with a thermal bath. This recasts the computation of heat statistics as a standard unitary time-evolution problem, allowing us to leverage powerful tensor-network techniques for simulating quantum dynamics. In particular, we exploit the chain mapping of thermodynamic reservoirs to compute heat fluctuations in the Ohmic spin-boson model. The method, however, is general and applies to arbitrary open quantum systems coupled to non-interacting (bosonic or fermionic) thermal environments, offering a powerful, non-perturbative framework for understanding heat transfer in open quantum systems.

Related papers

• Thermodynamic Roles of Quantum Environments: From Heat Baths to Work Reservoirs [49.1574468325115]
  Environments in quantum thermodynamics usually take the role of heat baths. We show that within the same model, the environment can take three different thermodynamic roles. The exact role of the environment is determined by the strength and structure of the coupling.
  arXiv  Detail & Related papers  (2024-08-01T15:39:06Z)
• Quantum Thermodynamics of Open Quantum Systems: Nature of Thermal Fluctuations [0.0]
  We investigate the thermodynamic behavior of open quantum systems through the Hamiltonian of Mean Force. By analyzing both weak and strong coupling regimes, we uncover the impact of environmental interactions on quantum thermodynamic quantities.
  arXiv  Detail & Related papers  (2024-07-31T13:18:06Z)
• Asymmetries of thermal processes in open quantum systems [0.0]
  We show that the free relaxation to thermal equilibrium follows intrinsically different paths depending on whether it involves the temperature of the system to increase or to decrease.<n>A general understanding is obtained based on the spectral decomposition of the Liouvillian and the spectral gap of reciprocal processes.
  arXiv  Detail & Related papers  (2024-06-28T11:07:21Z)
• Non-Markovianity through entropy-based quantum thermodynamics [0.0]
  We propose a measure of non-Markovianity based on the heat flow for single-qubit quantum evolutions. This measure can be applied for unital dynamical maps that do not invert the sign of the internal energy.
  arXiv  Detail & Related papers  (2022-10-07T18:09:32Z)
• Gauge Quantum Thermodynamics of Time-local non-Markovian Evolutions [77.34726150561087]
  We deal with a generic time-local non-Markovian master equation. We define current and power to be process-dependent as in classical thermodynamics. Applying the theory to quantum thermal engines, we show that gauge transformations can change the machine efficiency.
  arXiv  Detail & Related papers  (2022-04-06T17:59:15Z)
• Implementation of a two-stroke quantum heat engine with a collisional model [50.591267188664666]
  We put forth a quantum simulation of a stroboscopic two-stroke thermal engine in the IBMQ processor. The system consists of a quantum spin chain connected to two baths at their boundaries, prepared at different temperatures using the variational quantum thermalizer algorithm.
  arXiv  Detail & Related papers  (2022-03-25T16:55:08Z)
• Fast Thermalization from the Eigenstate Thermalization Hypothesis [69.68937033275746]
  Eigenstate Thermalization Hypothesis (ETH) has played a major role in understanding thermodynamic phenomena in closed quantum systems. This paper establishes a rigorous link between ETH and fast thermalization to the global Gibbs state. Our results explain finite-time thermalization in chaotic open quantum systems.
  arXiv  Detail & Related papers  (2021-12-14T18:48:31Z)
• Open-system approach to nonequilibrium quantum thermodynamics at arbitrary coupling [77.34726150561087]
  We develop a general theory describing the thermodynamical behavior of open quantum systems coupled to thermal baths. Our approach is based on the exact time-local quantum master equation for the reduced open system states.
  arXiv  Detail & Related papers  (2021-09-24T11:19:22Z)
• Relating Heat and Entanglement in Strong Coupling Thermodynamics [0.0]
  We develop a new approach to study thermodynamics in the strong coupling regime. We apply the method to calculate the time-dependent thermodynamic properties of a system and an environment. The results indicate that the transient imbalance between heat dissipated and heat absorbed is responsible for the generation of system-environment entanglement.
  arXiv  Detail & Related papers  (2021-04-13T05:36:21Z)
• Qubit thermodynamics far from equilibrium: two perspectives about the nature of heat and work in the quantum regime [68.8204255655161]
  We develop an alternative theoretical framework for the thermodynamic analysis of two-level systems. We observe the appearance of a new term of work, which represents the energy cost of rotating the Bloch vector in presence of the external field that defines the local Hamiltonian. In order to illustrate our findings we study, from both perspectives, matter-radiation interaction processes for two different systems.
  arXiv  Detail & Related papers  (2021-03-16T09:31:20Z)
• Quantum heat statistics with time-evolving matrix product operators [0.0]
  We present a numerically exact method to compute the full counting statistics of heat transfer in non-Markovian open quantum systems. We show that system-reservoir correlations make a significant contribution to the heat statistics at low temperature. We also demonstrate a fluctuation-dissipation relation connecting the mean and variance of the heat distribution at high temperature.
  arXiv  Detail & Related papers  (2020-08-14T17:51:25Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.