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The conditions under which quantum-classical Liouville dynamics may be reduced to a master equation are investigated. Systems that can be partitioned into a quantum-classical subsystem interacting with a classical bath are considered.…

Statistical Mechanics · Physics 2015-06-25 Robbie Grunwald , Raymond Kapral

We study the structure of the time evolution of the density matrix in contact with a thermal bath in a standard projection operator sheme. The reduced density matrix of the system in the steady state is obtained by tracing out the degree of…

Statistical Mechanics · Physics 2009-05-04 Takashi Mori , Seiji Miyashita

Markovian master equations (formally known as quantum dynamical semigroups) can be used to describe the evolution of a quantum state $\rho$ when in contact with a memoryless thermal bath. This approach has had much success in describing the…

Quantum Physics · Physics 2017-08-18 Álvaro M. Alhambra , Mischa P. Woods

We study thermalization dynamics in a fermion-phonon variant of the Sachdev-Ye-Kitaev model coupled to an external cold thermal bath of harmonic oscillators. We find that quantum critical fermions thermalize more efficiently than phonons,…

Strongly Correlated Electrons · Physics 2023-10-02 Hossein Hosseinabadi , Shane P. Kelly , Jörg Schmalian , Jamir Marino

We address the problem of cooling a Markovian quantum system to a pure state in the shortest amount of time possible. Here the system drift takes the form of a Lindblad master equation and we assume fast unitary control. This setting allows…

Quantum Physics · Physics 2024-03-11 Emanuel Malvetti

We revisit the model of a system made up of a Brownian quantum oscillator under the influence of an external classical force and linearly coupled to an environment made up of many quantum oscillators at zero or finite temperature. We show…

Quantum Physics · Physics 2007-05-23 C. H. Fleming , B. L. Hu , Albert Roura

In this paper we derive the Lindblad and Redfield forms with and without secular approximation from the Born-Markov master equation for open quantum systems. The spectral correlation tensor of bath (the Fourier transform of the bath…

Quantum Physics · Physics 2019-11-27 Chang-Yao Liao , Xian-Ting Liang

The loss of particles due to highly inelastic reactions has previously been taken into account in effective field theories for low-energy particles by adding local anti-Hermitian terms to the effective Hamiltonian. An additional…

High Energy Physics - Phenomenology · Physics 2016-12-26 Eric Braaten , Hans-Werner Hammer , G. Peter Lepage

We derive the exact time-evolution for a general quantum system under the influence of pure phase-noise and demonstrate that for a Gaussian initial state of the bath, the exact result can be obtained also within a perturbative time-local…

Quantum Physics · Physics 2008-05-13 Roland Doll , David Zueco , Martijn Wubs , Sigmund Kohler , Peter Hanggi

This paper considers the extension of the non-Markovian stochastic approach for quantum open systems strongly coupled to a fermionic bath, to the models in which the system operators commute with the fermion bath. This technique can also be…

Quantum Physics · Physics 2013-04-19 Xinyu Zhao , Wufu Shi , Lian-Ao Wu , Ting Yu

An exact method to compute the entire equilibrium reduced density matrix for systems characterized by a system-bath Hamiltonian is presented. The approach is based upon a stochastic unraveling of the influence functional that appears in the…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Jeremy M. Moix , Yang Zhao , Jianshu Cao

We analyze the many-particle Schrodinger equation for fermions in a thermal ensemble by introducing an exponential operator expansion, defined in the context of thermofield dynamics. The expansion is optimized variationally at each time…

Statistical Mechanics · Physics 2020-01-10 Edward B. Baker

Accurate and efficient simulation of open quantum systems remains a significant challenge, particularly for Non-Markovian dynamics. We demonstrate the profound utility of expressing the environmental correlation function as a sum of damped…

Quantum Physics · Physics 2025-07-22 Gerardo Suárez , Michał Horodecki

Recently, Nathan and Rudner derived a Gorini-Kossakowski-Sudarshan-Lindblad master equation from the Redfield equation. The claim is that the level of approximation is equal to that of the Redfield equation. Here we benchmark the…

Quantum Physics · Physics 2024-07-24 C. S. Tello Breuer , T. Becker , A. Eckardt

We study optimal control strategies to optimize the relaxation rate towards the fixed point of a quantum system in the presence of a non-Markovian dissipative bath. Contrary to naive expectations that suggest that memory effects might be…

It is known that the origin of the deviations from standard thermodynamics proceed from the strong coupling to the bath. Here, it is shown that these deviations are related to the power spectrum of the bath. Specifically, it is shown that…

Quantum Physics · Physics 2015-08-26 Johan F. Triana

Quantum systems of interest are typically coupled to several quantum channels (more generally environments). In this paper, we develop an exact stochastic Schr\"{o}dinger equation for an open quantum system coupled to a hybrid environment…

Quantum Physics · Physics 2017-05-11 Xinyu Zhao , Wufu Shi , J. Q. You , Ting Yu

We investigate the stability of a Luttinger liquid, upon suddenly coupling it to a dissipative environment. Within the Lindblad equation, the environment couples to local currents and heats the quantum liquid up to infinite temperatures.…

Strongly Correlated Electrons · Physics 2021-01-05 Ádám Bácsi , Catalin Pascu Moca , Gergely Zaránd , Balázs Dóra

A model glass is considered with one type of fast ($\beta$-type) of processes, and one type of slow processes ($\alpha$-type). On time-scales where the fast ones are in equilibrium, the slow ones have a dynamics that resembles the one of…

Statistical Mechanics · Physics 2009-11-07 Luca Leuzzi , Theo M. Nieuwenhuizen

We analyze the heat exchange distribution of quantum open systems undergoing a thermal relaxation that maximizes the entropy production. We show that the process implies a type of generalized law of cooling in terms of a time dependent…

Statistical Mechanics · Physics 2019-05-06 D. S. P. Salazar , A. M. S. Macêdo , G. L. Vasconcelos