Davies equation without the secular approximation: Reconciling locality with quantum thermodynamics for open quadratic systems

• URL: http://arxiv.org/abs/2507.10080v1
• Date: Mon, 14 Jul 2025 09:06:32 GMT
• Title: Davies equation without the secular approximation: Reconciling locality with quantum thermodynamics for open quadratic systems
• Authors: Koki Shiraishi, Masaya Nakagawa, Takashi Mori,
• Abstract summary: We show that the quasi-local Redfield equation coincides exactly with the Davies equation, which satisfies the detailed-balance condition.<n>Our result paves the way to a thermodynamically consistent description of quantum many-body systems.
• Score: 2.048226951354646
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We derive a thermodynamically consistent quantum master equation that satisfies locality for quadratic systems coupled to independent and identical baths at each site. We show that the quasi-local Redfield equation coincides exactly with the Davies equation, which satisfies the detailed-balance condition, due to cancellation of quantum coherence generated by each bath. This derivation does not rely on the secular approximation, which fails in systems with vanishing energy-level spacings. We discuss generalizations of our result to slowly driven quadratic systems and generic quantum many-body systems. Our result paves the way to a thermodynamically consistent description of quantum many-body systems.

Related papers

• Thermalization in open many-body systems and KMS detailed balance [0.0]
  We develop a quantum master equation that does not rely on the well-known rotating wave approximation.<n>We show that the resulting Lindbladian dynamics reproduces the thermal equilibrium point.<n>We provide a rigorous model of many-body thermalization relevant to both open quantum systems and quantum algorithms.
  arXiv  Detail & Related papers  (2025-05-26T14:48:57Z)
• From the Bloch equation to a thermodynamically consistent master equation [0.0]
  We present a mathematically equivalent form of the Lindblad master equation under a single constraint of strict energy conservation.<n>The "elemental Bloch" equation separates the system dynamics into its elemental parts, making an explicit distinction between thermal mixing, dephasing, and energy relaxation.
  arXiv  Detail & Related papers  (2025-05-08T14:29:47Z)
• Bath Dynamical Decoupling with a Quantum Channel [44.99833362998488]
  We find that bath dynamical decoupling works if and only if the kick is ergodic.<n>We study in which circumstances CPTP kicks on a mono-partite quantum system induce quantum Zeno dynamics with its Hamiltonian cancelled out.
  arXiv  Detail & Related papers  (2024-09-27T07:47:52Z)
• Quantum Circuits for the heat equation with physical boundary conditions via Schrodingerisation [33.76659022113328]
  This paper explores the explicit design of quantum circuits for quantum simulation of partial differential equations (PDEs) with physical boundary conditions.<n>We present two methods for handling the inhomogeneous terms arising from time-dependent physical boundary conditions.<n>We then apply the quantum simulation technique from [CJL23] to transform the resulting non-autonomous system to an autonomous system in one higher dimension.
  arXiv  Detail & Related papers  (2024-07-22T03:52:14Z)
• Work Sum Rule for Open Quantum Systems [0.0]
  Key question in the thermodynamics of open quantum systems is how to partition thermodynamic quantities such as entropy, work, and internal energy between the system and its environment. We show that the only partition under which entropy is nonsingular is based on a partition of Hilbert space, which assigns half the system-environment coupling to the system and half to the environment.
  arXiv  Detail & Related papers  (2024-02-29T05:07:19Z)
• Full counting statistics and coherences: fluctuation symmetry in heat transport with the Unified quantum master equation [0.0]
  We investigate statistics of energy currents through open quantum systems with nearly degenerate levels. We find that maintaining coherences between nearly degenerate levels is essential for the properly capturing the current and its cumulants.
  arXiv  Detail & Related papers  (2022-12-21T19:01:52Z)
• Canonically consistent quantum master equation [68.8204255655161]
  We put forth a new class of quantum master equations that correctly reproduce the state of an open quantum system beyond the infinitesimally weak system-bath coupling limit. Our method is based on incorporating the knowledge of the reduced steady state into its dynamics.
  arXiv  Detail & Related papers  (2022-05-25T15:22:52Z)
• 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)
• 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)
• From geometry to coherent dissipative dynamics in quantum mechanics [68.8204255655161]
  We work out the case of finite-level systems, for which it is shown by means of the corresponding contact master equation. We describe quantum decays in a 2-level system as coherent and continuous processes.
  arXiv  Detail & Related papers  (2021-07-29T18:27:38Z)
• Local master equations may fail to describe dissipative critical behavior [0.0]
  Local quantum master equations provide a simple description of interacting subsystems coupled to different reservoirs. We evaluate the steady-state mean occupation number for varying temperature differences and find that local master equations generally fail to reproduce the results of an exact quantum-Langevin-equation description.
  arXiv  Detail & Related papers  (2020-12-17T20:01:24Z)
• Quantum correlation entropy [0.0]
  We study quantum coarse-grained entropy and demonstrate that the gap in entropy between local and global coarse-grainings is a natural generalization of entanglement entropy to mixed states and multipartite systems. This "quantum correlation entropy" $Srm QC$ is additive over independent systems, measures total nonclassical correlations, and reduces to the entanglement entropy for bipartite pure states.
  arXiv  Detail & Related papers  (2020-05-11T20:13:43Z)
• Simulation of Thermal Relaxation in Spin Chemistry Systems on a Quantum Computer Using Inherent Qubit Decoherence [53.20999552522241]
  We seek to take advantage of qubit decoherence as a resource in simulating the behavior of real world quantum systems. We present three methods for implementing the thermal relaxation. We find excellent agreement between our results, experimental data, and the theoretical prediction.
  arXiv  Detail & Related papers  (2020-01-03T11:48:11Z)

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.