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The time-dependent energy transfer in a driven quantum system strongly coupled to a heat bath is studied within an influence functional approach. Exact formal expressions for the statistics of energy dissipation into the different channels…

Mesoscale and Nanoscale Physics · Physics 2016-06-20 Matteo Carrega , Paolo Solinas , Maura Sassetti , Ulrich Weiss

We consider Markovian open quantum systems subject to stochastic resetting, which means that the dissipative time evolution is reset at randomly distributed times to the initial state. We show that the ensuing dynamics is non-Markovian and…

Statistical Mechanics · Physics 2022-10-05 Gabriele Perfetto , Federico Carollo , Igor Lesanovsky

We propose a numerical technique based on a combination of short-iterative Lanczos and exact diagonalization methods, suitable for simulating the time evolution of the reduced density matrix of a single qubit interacting with an…

The Lindblad master equation is a frequently used Markovian approach to describe open quantum systems in terms of the temporal evolution of a reduced density matrix. Here, the thermal environment is traced out to obtain an expression to…

Nuclear Theory · Physics 2025-03-11 Jan Rais , Hendrik van Hees , Carsten Greiner

A general theoretical approach to study the quantum kinetics in a system coupled to a bath is proposed. Starting with the microscopic interaction, a Lindblad master equation is established, which goes beyond the common secular…

Mesoscale and Nanoscale Physics · Physics 2018-01-31 Gediminas Kiršanskas , Martin Franckié , Andreas Wacker

In this paper, we investigate the strong coupling quantum thermodynamics of the hybrid quantum system far away from equilibrium. The strong coupling hybrid system consists of a cavity and a spin ensemble of the NV centers in diamond under…

Quantum Physics · Physics 2022-09-21 Wei-Ming Huang , Wei-Min Zhang

We derive a microscopic model for dissipative dynamics in a system of mutually interacting qubits coupled to a thermal bath that generalises the dissipative model of Landau-Lifschitz-Gilbert to the case of anisotropic bath couplings. We…

Mesoscale and Nanoscale Physics · Physics 2016-12-14 Philip J D Crowley , A G Green

We analyze the appearance of non-Markovian effects in the dynamics of a bipartite system coupled to a reservoir, which can be described within a class of non-Markovian equations given by a generalized Lindblad structure. A novel master…

Quantum Physics · Physics 2008-09-01 Bassano Vacchini

We derive a modified Lindblad equation for the state of quantum dot tunnel coupled to a Markovian lead when the spin state of the dot is driven by an oscillating magnetic field. We show that the equation is a completely positive,…

Mesoscale and Nanoscale Physics · Physics 2026-02-10 Emily Townsend , Joshua Pomeroy , Garnett W. Bryant

We show that the dynamics of a driven quantum system weakly coupled to a finite reservoir can be approximated by a sequence of Landau-Zener transitions if the level spacing of the reservoir is large enough. This approximation can be…

Statistical Mechanics · Physics 2019-05-01 Juzar Thingna , Massimiliano Esposito , Felipe Barra

The Lindblad equation, as one approach to open quantum systems, describes the density matrix of a particle or a chain of interacting particles, which are in contact with a thermal bath. Still, it is not fully understood yet, how arbitrary…

Nuclear Theory · Physics 2025-03-13 Jan Rais , Hendrik van Hees , Carsten Greiner

The out of equilibrium dynamics of the Sachdev-Ye-Kitaev model (SYK), comprising $N$ Majoranas with random all-to-all four-body interactions, minimally coupled to a Markovian bath modeled by the Lindblad formalism, displays intriguing…

Quantum Physics · Physics 2025-10-20 Jie-ping Zheng , Jorge Dukelsky , Rafael A. Molina , Antonio M. García-García

A complete treatment of the entanglement of two-level systems, which evolves through the contact with a thermal bath, must include the fact that the system and the bath are not fully separable. Therefore, quantum coherent superpositions of…

Quantum Physics · Physics 2015-05-18 Arend G. Dijkstra , Yoshitaka Tanimura

In a number of physically relevant contexts, a quantum system interacting with a decohering environment is simultaneously subjected to time-dependent controls and its dynamics is thus described by a time-dependent Lindblad master equation.…

Quantum Physics · Physics 2026-02-19 Lasse H. Wolff , Daniel Malz , Rahul Trivedi

We study a single Markovian qubit governed by a Lindblad master equation and subject to fast unitary control. Using reduced control systems and optimal control theory we determine (i) controls for cooling and heating such systems in a…

Quantum Physics · Physics 2024-04-16 Emanuel Malvetti

We derive a Markovian master equation for driven open quantum systems based on the Lewis-Riesenfeld invariants theory, which is available for arbitrary driving protocols.The role of the Lewis-Riesenfeld invariants is to help us bypass the…

Quantum Physics · Physics 2023-04-19 S. L. Wu , X. L. Huang , X. X. Yi

The Lindblad equation describes the time evolution of a density matrix of a quantum mechanical system. Stationary solutions are obtained by time-averaging the solution, which will in general depend on the initial state. We provide an…

Quantum Physics · Physics 2022-08-11 Bernd Michael Fernengel , Barbara Drossel

We study the dissipative dynamics of correlated fermions evolving in presence of a local dephasing bath. To this extent we consider the infinite coordination limit of the corresponding Lindblad master equation, provided by Dynamical…

Strongly Correlated Electrons · Physics 2025-07-30 Antonio Picano , Matthieu Vanhoecke , Marco Schirò

We show that finite system-reservoir coupling imposes a distinct quantum limit on the performance of a non-equilibrium quantum heat engine. Even in the absence of quantum friction along the isentropic strokes, finite system-reservoir…

Quantum Physics · Physics 2020-05-21 David Newman , Florian Mintert , Ahsan Nazir

We calculate the dissipative dynamics of two-qubit quantum discord under Markovian environments. We analyze various dissipative channels such as dephasing, depolarizing, and generalized amplitude damping, assuming independent perturbation,…

Quantum Physics · Physics 2009-09-16 T. Werlang , S. Souza , F. F. Fanchini , C. J. Villas-Boas
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