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The transfer tensor method (TTM) [Cerrillo and Cao, Phys. Rev. Lett. 2014, 112, 110401] can be considered a discrete-time formulation of the Nakajima-Zwanzig quantum master equation (NZ-QME) for modeling non-Markovian quantum dynamics. A…

Quantum Physics · Physics 2025-07-30 Ruojing Peng , Lachlan P. Lindoy , Joonho Lee

We introduce quantum versions of the Kac Master Equation and the Kac Boltzmann Equation. We study the steady states of each of these equations, and prove a propagation of chaos theorem that relates them. The Quantum Kac Master Equation…

Mathematical Physics · Physics 2018-06-12 Eric A. Carlen , Maria C. Carvalho , Michael P. Loss

A novel scheme for the steady state solution of the standard Redfield quantum master equation is developed which yields agreement with the exact result for the corresponding reduced density matrix up to second order in the system-bath…

Statistical Mechanics · Physics 2012-05-23 Juzar Thingna , Jian-Sheng Wang , Peter Hänggi

We provide an explicit method for solving general markovian master equations for quadratic bosonic Hamiltonians with linear bath operators. As an example we consider a one-dimensional quantum harmonic oscillator chain coupled to thermal…

Statistical Mechanics · Physics 2015-06-04 Bojan Žunkovič , Tomaž Prosen

The proof of the long-standing conjecture is presented that Markovian quantum master equations are at odds with quantum thermodynamics under conventional assumptions of fluctuation-dissipation theorems (implying a translation invariant…

Quantum Physics · Physics 2017-11-01 Dmitry V. Zhdanov , Denys I. Bondar , Tamar Seideman

We present an ab initio molecular dynamics (MD) investigation of the tautomeric equilibrium for aqueous solutions of glycine and acetone at realistic experimental conditions. Metadynamics is used to accelerate proton migration among…

Soft Condensed Matter · Physics 2020-12-29 Emanuele Grifoni , GiovanniMaria Piccini , Michele Parrinello

We provide a theoretical model for the non-equilibrium steady state heat flow through a quantum heat valve. The model is based on a master equation approach, where the partial secular approximation has been carefully performed in order to…

Quantum Physics · Physics 2026-02-24 Antti Vaaranta , Marco Cattaneo , Paolo Muratore-Ginanneschi , Jukka Pekola

We discuss the problem of heat conduction in quantum spin chain models. To investigate this problem it is necessary to consider the finite open system connected to heat baths. We describe two different procedures to couple the system with…

Statistical Mechanics · Physics 2008-07-15 Carlos Mejia-Monasterio , Hannu Wichterich

We analyse the thermodynamics of a quantum system in a trajectory of constant velocity that interacts with a static thermal bath. The latter is modeled by a massless scalar field in a thermal state. We consider two different couplings of…

Quantum Physics · Physics 2020-10-14 Nikolaos Papadatos , Charis Anastopoulos

We provide a comprehensive study of the energy transfer phenomenon -- populating a given energy level -- in 3- and 4-level quantum systems coupled to two thermal baths. In particular, we examine the effects of an external periodic driving…

Quantum Physics · Physics 2022-09-19 Z. Nafari Qaleh , A. T. Rezakhani

We use the eigenstate thermalization hypothesis to derive a quantum master equation for a system weakly coupled to a chaotic finite-sized bath prepared in a pure state. We show that the emergence of Markovianity is controlled by the…

Quantum Physics · Physics 2025-09-03 Peter O'Donovan , Philipp Strasberg , Kavan Modi , John Goold , Mark T. Mitchison

We propose a highly efficient mixed quantum-classical molecular dynamics scheme based on a solution of the quantum-classical Liouville equation (QCLE). By casting the equations of motion for the quantum subsystem and classical bath degrees…

Chemical Physics · Physics 2018-07-06 Junjie Liu , Gabriel Hanna

Evaluating the time-dependent dynamics of driven open quantum systems is relevant for a theoretical description of many systems, including molecular junctions, quantum dots, cavity-QED experiments, cold atoms experiments and more. Here, we…

Mesoscale and Nanoscale Physics · Physics 2017-08-23 Archak Purkayastha , Yonatan Dubi

A Quantum Kinetic Master Equation (QKME) for bosonic atoms is formulated. It is a quantum stochastic equation for the kinetics of a dilute quantum Bose gas, and describes the behavior and formation of Bose condensation. The key assumption…

Quantum Physics · Physics 2009-10-30 C. W. Gardiner , P. Zoller

We investigate dynamics of a small quantum system open to a bath with thermostat. We introduce another bath, called super bath, weakly coupled with the bath to provide it with thermostat, which has either the Lindblad or Redfield type. We…

Quantum Physics · Physics 2024-04-25 Chulan Kwon , Ju-Yeon Gyhm

Two approaches to describe the thermodynamics of a subsystem that interacts with a thermal bath are considered. Within the first approach, the mean system energy $E_{S}$ is identified with the expectation value of the system Hamiltonian,…

Statistical Mechanics · Physics 2009-07-08 M. F. Gelin , M. Thoss

A model master equation suitable for quantum computing dynamics is presented. In an ideal quantum computer (QC), a system of qubits evolves in time unitarily and, by virtue of their entanglement, interfere quantum mechanically to solve…

Quantum Physics · Physics 2017-05-31 Frank Tabakin

We present a systematic procedure to derive a quantum master equation for thermal relaxation in real scalar field theory, expanding on the method proposed in [Koide and Nicacio, Phys. Lett. A494, 129277 (2024)]. We begin by introducing a…

Quantum Physics · Physics 2025-12-04 T. Koide , F. Nicacio

In this work we investigate the ground state and the dissipative quantum dynamics of interacting charged particles in an external potential at finite temperature. The recently devised time-dependent quantum Monte Carlo (TDQMC) method allows…

Quantum Physics · Physics 2025-01-29 Ivan P. Christov

In the framework of theory of open quantum systems, we derive quantum master equations for the ultrastrong system-bath coupling regime and, more generally, the strong-decoherence regime. In this regime, the strong decoherence is…

Quantum Physics · Physics 2021-09-07 Anton Trushechkin