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We derive a time-dependent master equation for an externally driven system whose subsystems weakly interact with each other and locally connect to the thermal reservoirs. The nonadiabatic equation obtained here can be viewed as a…

Quantum Physics · Physics 2024-10-01 Chao Jiang , Lei Shao

Describing open quantum systems far from equilibrium is challenging, in particular when the environment is mesoscopic, when it develops nonequilibrium features during the evolution, or when the memory effects cannot be disregarded. Here, we…

Quantum Physics · Physics 2021-03-17 Andreu Riera-Campeny , Anna Sanpera , Philipp Strasberg

We construct a quantum Markovian Master equation for a driven system coupled to a thermal bath. The derivation utilizes an explicit solution of the propagator of the driven system. This enables the validity of the Master equation to be…

Quantum Physics · Physics 2021-03-11 Roie Dann , Amikam Levy , Ronnie Kosloff

We develop from first principles Markovian master equations suited for studying the time evolution of a system evolving adiabatically while coupled weakly to a thermal bath. We derive two sets of equations in the adiabatic limit, one using…

Quantum Physics · Physics 2015-11-03 Tameem Albash , Sergio Boixo , Daniel A. Lidar , Paolo Zanardi

Understanding heat transfer between a quantum system and its environment is of undisputed importance if reliable quantum devices are to be constructed. Here, we investigate the heat transfer between system and bath in non-Markovian open…

Quantum Physics · Physics 2022-07-12 Zhao-Ming Wang , Feng-Hua Ren , Marcelo S. Sarandy , Mark S. Byrd

By introducing a temporal change timescale $\tau_{\text{A}}(t)$ for the time-dependent system Hamiltonian, a general formulation of the Markovian quantum master equation is given to go well beyond the adiabatic regime. In appropriate…

Statistical Mechanics · Physics 2017-02-01 Makoto Yamaguchi , Tatsuro Yuge , Tetsuo Ogawa

We derive a Markovian master equation that models the evolution of systems subject to driving and control fields. Our approach combines time rescaling and weak-coupling limits for the system-environment interaction with a secular…

Quantum Physics · Physics 2024-11-26 Giovanni Di Meglio , Martin B. Plenio , Susana F. Huelga

We establish a generic method to analyze the time evolution of open quantum many-body systems. Our approach is based on a variational integration of the quantum master equation describing the dynamics and naturally connects to a variational…

Quantum Physics · Physics 2017-09-29 Vincent R. Overbeck , Hendrik Weimer

Quantum thermodynamics aims at investigating both the emergence and the limits of the laws of thermodynamics from a quantum mechanical microscopic approach. In this scenario, thermodynamic processes with no heat exchange, namely, adiabatic…

We derive a Markovian master equation for a linearly driven dissipative quantum harmonic oscillator, valid for generic driving beyond the adiabatic limit. We solve this quantum master equation for arbitrary Gaussian initial states and…

Quantum Physics · Physics 2025-03-24 Sinan Altinisik , Eric Lutz

Quantum adiabatic evolution is a dynamical evolution of a quantum system under slow external driving. According to the quantum adiabatic theorem, no transitions occur between non-degenerate instantaneous eigen-energy levels in such a…

Quantum Physics · Physics 2015-06-18 Qi Zhang , Jiangbin Gong , Biao Wu

We extend the concept of superadiabatic dynamics, or transitionless quantum driving, to quantum open systems whose evolution is governed by a master equation in the Lindblad form. We provide the general framework needed to determine the…

Quantum Physics · Physics 2015-06-16 G. Vacanti , R. Fazio , S. Montangero , G. M. Palma , M. Paternostro , V. Vedral

We present an approach based on a density matrix expansion to study thermodynamic properties of a quantum system strongly coupled to two or more baths. For slow external driving of the system, we identify the adiabatic and nonadiabatic…

Statistical Mechanics · Physics 2020-06-24 Wenjie Dou , Jakob Bätge , Amikam Levy , Michael Thoss

We present statistics of quantum jumps in the two-level system with landau-Zener Hamiltonian that undergoes a Markovian process. For the Landau-Zener model, which is successful in simulating adiabatic/non-adiabatic evolution and quantum…

Quantum Physics · Physics 2024-11-05 Laleh Memarzadeh , Rosario Fazio

Quantum speed limit (QSL) for open quantum systems in the non-Markovian regime is analyzed. We provide a the lower bound for the time required to transform an initial state to a final state in terms of thermodynamic quantities such as the…

Quantum Physics · Physics 2021-10-11 Arpan Das , Anindita Bera , Sagnik Chakraborty , Dariusz Chruściński

We establish a connection between macroscopic "heating or cooling" of a finite many-body quantum system and the non-adiabatic Landau-Zener-St\"{u}ckelberg transitions between its quantum states. We have considered the well-known Nilsson…

Nuclear Theory · Physics 2019-11-12 Nishchal R. Dwivedi , Sudhir R. Jain

We study finite-time driving across second-order dissipative quantum phase transitions described by Lindblad dynamics. We show that the nonadiabatic entropy production, which quantifies deviations from the instantaneous nonequilibrium…

Quantum Physics · Physics 2025-12-05 Laetitia P. Bettmann , Artur M. Lacerda , Mark T. Mitchison , John Goold

We investigate Landau-Zener processes modeled by a two-level quantum system, with its finite bias energy varied in time and in the presence of a single broadened cavity mode at zero temperature. By applying the hierarchy equation method to…

Quantum Physics · Physics 2016-02-03 Zhe Sun , Longwen Zhou , Gaoyang Xiao , Dario Poletti , Jiangbin Gong

We develop a Landauer-B\"uttiker theory of entropy evolution in time-dependent strongly coupled electron systems. This formalism naturally avoids the problem of system-bath distinction caused by the strong hybridization of central system…

Mesoscale and Nanoscale Physics · Physics 2018-03-12 Anton Bruch , Caio Lewenkopf , Felix von Oppen

Nonequilibrium energy transport serves as one of fundamental problems in quantum thermodynamics and quantum technologies. Driven quantum master equation in the dressed picture provides an efficient way of investigating nonequilibrium energy…

Quantum Physics · Physics 2026-04-01 Junran Kong , Yuwei Lu , Huan Liu , Liwei Duan , Chen Wang
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