Heat transport in driven quantum systems: Comparison between the Floquet-Redfield equation and the master equation in the instantaneous eigenbasis

• URL: http://arxiv.org/abs/2608.13308v1
• Date: Thu, 13 Aug 2026 14:35:10 GMT
• Title: Heat transport in driven quantum systems: Comparison between the Floquet-Redfield equation and the master equation in the instantaneous eigenbasis
• Abstract summary: Heat transport in periodically driven quantum systems is studied.<n> Numerical and analytical results are provided for the driven spin boson-model.<n>The adiabatic regime, which is relevant to thermal machines, is discussed.
• Score: 36.94429692322632
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We provide a comprehensive study of heat transport in periodically driven quantum systems using a combination of master equation and Floquet approach. We give exact results (within the weak coupling Redfield theory, with no Markovian or secular approximations) and compare them with alternative approaches involving further approximations. Numerical and analytical results obtained in their appropriate driving regimes are provided for the driven spin boson-model. The adiabatic regime, which is relevant to thermal machines, is discussed.

Related papers

• Subsystem Thermalization and Work Statistical Characterizations of Floquet Dynamics [0.9668407688201359]
  We study Floquet thermalization in a periodically driven quantum non-integrable Ising chain.<n>For generic interacting Floquet systems, stroboscopic dynamics lead to heating toward an infinite-temperature state.<n>Work statistics encode the same dynamical crossover that governs subsystem thermalization.
  arXiv  Detail & Related papers  (2026-07-01T03:26:17Z)
• Benchmarking Floquet Master Equations for Periodically Driven Open Quantum Systems [0.0]
  We benchmark a set of commonly used Floquet master equations for a model of two locally driven spins coupled to a shared Ohmic reservoir at finite temperature.<n>We find that the accuracy of each master equation closely reflects the assumptions underlying its derivation.
  arXiv  Detail & Related papers  (2026-06-04T16:13:51Z)
• Exact quantum transport in non-Markovian open Gaussian systems [0.764671395172401]
  We build an exact framework to evaluate heat, energy, and particle transport between Gaussian reservoirs mediated by a quadratic quantum system.<n>This theory applies equally to fermionic and bosonic systems, holds at arbitrarily strong coupling, and resolves out-of-equilibrium transient dynamics.
  arXiv  Detail & Related papers  (2026-02-24T18:43:45Z)
• Quadratic Hamiltonian approach to heat transport in fermionic systems [0.0]
  We investigate the problem of quantum heat transport, based on the quadratic fermionic systems with help of the Peschel trick of single-particle correlation functions.<n>The efficient numerical method is applied to the particular case of a single mode heat valve and the results are compared to analytical formulae.
  arXiv  Detail & Related papers  (2025-06-19T08:17:18Z)
• Non-Markovian Ensemble Propagation [41.94295877935867]
  We introduce the Non-Markovian Ensemble Propagation (NMEP) method, which extends the Monte Carlo Wave-Function (MCWF) method to the non-Markovian case.<n>We demonstrate its accuracy and effectiveness in a selection of examples, and compare the results with either analytic expressions or direct numerical integration of the master equation.
  arXiv  Detail & Related papers  (2024-10-16T06:59:44Z)
• Efficiency of Dynamical Decoupling for (Almost) Any Spin-Boson Model [44.99833362998488]
  We analytically study the dynamical decoupling of a two-level system coupled with a structured bosonic environment.<n>We find sufficient conditions under which dynamical decoupling works for such systems.<n>Our bounds reproduce the correct scaling in various relevant system parameters.
  arXiv  Detail & Related papers  (2024-09-24T04:58:28Z)
• Quantum Effects on the Synchronization Dynamics of the Kuramoto Model [62.997667081978825]
  We show that quantum fluctuations hinder the emergence of synchronization, albeit not entirely suppressing it. We derive an analytical expression for the critical coupling, highlighting its dependence on the model parameters.
  arXiv  Detail & Related papers  (2023-06-16T16:41:16Z)
• A Score-Based Model for Learning Neural Wavefunctions [41.82403146569561]
  We provide a new framework for obtaining properties of quantum many-body ground states using score-based neural networks. Our new framework does not require explicit probability distribution and performs the sampling via Langevin dynamics.
  arXiv  Detail & Related papers  (2023-05-25T23:44:27Z)
• Assessment of weak-coupling approximations on a driven two-level system under dissipation [58.720142291102135]
  We study a driven qubit through the numerically exact and non-perturbative method known as the Liouville-von equation with dissipation. We propose a metric that may be used in experiments to map the regime of validity of the Lindblad equation in predicting the steady state of the driven qubit.
  arXiv  Detail & Related papers  (2020-11-11T22:45:57Z)
• Quantum Rayleigh problem and thermocoherent Onsager relations [0.0]
  We study the role of quantum coherence and correlations in heat flow and equilibration. We find that quantum discord and entanglement shared between the projectiles can contribute to genuine heat flow. We discuss some of the possible experimental realizations and technological applications of the thermocoherent phenomena.
  arXiv  Detail & Related papers  (2020-06-05T00:53:27Z)

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.