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The description of an open quantum system's decay almost always requires several approximations as to remain tractable. Here, we first revisit the meaning, domain and seeming contradictions of a few of the most widely used of such…

Quantum Physics · Physics 2021-06-02 Juliane Klatt , Chahan Michael Kropf , Stefan Yoshi Buhmann

We present a general master equation, correct to second order in the system-environment coupling strength, that takes into account the initial system-environment correlations. We assume that the system and its environment are in a joint…

Quantum Physics · Physics 2021-10-13 Ali Raza Mirza , Muhammad Zia , Adam Zaman Chaudhry

We present a unified many-body perturbation theory for open quantum systems, that treats dissipation, correlations, and external driving on equal footing. Using a Keldysh-Lindblad formalism, we introduce diagrammatic treatment of…

Strongly Correlated Electrons · Physics 2026-03-17 Thomas Blommel , Enrico Perfetto , Gianluca Stefanucci , Vojtech Vlcek

We develop a nonequilibrium mode-coupling theory for uniformly sheared systems starting from microscopic, thermostatted SLLOD equations of motion. Our theory aims at describing stationary-state properties including rheological ones of…

Soft Condensed Matter · Physics 2009-11-13 Song-Ho Chong , Bongsoo Kim

The basic features of the dynamics of open quantum systems, such as the dissipation of energy, the decay of coherences, the relaxation to an equilibrium or non-equilibrium stationary state, and the transport of excitations in complex…

Quantum Physics · Physics 2012-08-09 Heinz-Peter Breuer

We study the Lindblad master equation in the space of operators and provide simple criteria for closeness of the hierarchy of equations for correlations. We separately consider the time evolution of closed and open systems and show that…

Quantum Physics · Physics 2015-06-17 Bojan Žunkovič

We derive an exact master equation that captures the dynamics of a quadratic quantum system linearly coupled to a Gaussian environment of the same statistics: the Gaussian Master Equation (GME). Unlike previous approaches, our formulation…

Quantum Physics · Physics 2026-01-21 Antonio D'Abbruzzo , Vittorio Giovannetti , Vasco Cavina

We study quantum dissipative dynamics of entanglement in the spin-boson model, described by the generalized master equation. We consider the two opposite limits of pure-dephasing and relaxation models, measuring the degree of entanglement…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Jong Soo Lim , Mahn-Soo Choi , M. Y. Choi

We examine environmental decoherence of cosmological perturbations in order to study the quantum-to-classical transition and the impact of noise on entanglement during inflation. Given an explicit interaction between the system and…

General Relativity and Quantum Cosmology · Physics 2017-09-12 T. J. Hollowood , J. I. McDonald

We introduce a new analytical method for studying the open quantum systems problem of a discrete system weakly coupled to an environment of harmonic oscillators. Our approach is based on a phase space representation of the density matrix…

Quantum Physics · Physics 2015-02-27 Amir Fruchtman , Brendon W. Lovett , Simon C. Benjamin , Erik M. Gauger

Einstein-Smoluchowski diffusion, damped harmonic oscillations, and spatial decoherence are special cases of an elegant class of Markovian quantum Brownian motion models that is invariant under linear symplectic transformations. Here we…

Quantum Physics · Physics 2016-02-04 C. Jess Riedel

We construct a non-Markovian canonical dynamical map that accounts for systems correlated with the environment. The physical meaning of not completely positive maps is studied to obtain a theory of non-Markovian quantum dynamics. The…

Quantum Physics · Physics 2008-05-23 Cesar A. Rodriguez-Rosario , E. C. G. Sudarshan

We derive the general form of a master equation describing the interaction of an arbitrary multipartite quantum system, consisting of a set of subsystems, with an environment, consisting of a large number of sub-envirobments. Each subsystem…

Quantum Physics · Physics 2015-05-28 Vittorio Giovannetti , G. Massimo Palma

A fully quantum multiphonon up-pumping model is proposed to characterize coherent energy transfer in energetic materials (EMs) subjected to external shock. After eliminating the degrees of freedom of the phonon bath within a mean-field…

Quantum Physics · Physics 2026-05-20 Jiong Cheng , Yanqiang Yang , Wenlin Li , Xun Li

Reducing computational scaling for simulating non-Markovian dissipative dynamics using artificial neural networks is both a major focus and formidable challenge in open quantum systems. To enable neural quantum states (NQSs), we encode…

Quantum Physics · Physics 2026-03-10 Long Cao , Liwei Ge , Daochi Zhang , Xiang Li , Yao Wang , Rui-Xue Xu , YiJing Yan , Xiao Zheng

We investigate the dissipative dynamics of quantum discord in a decoherence model with two initially entangled qubits in addition to a quantum kicked top. The two qubits are uncoupled during the period of our study and one of them interacts…

Quantum Physics · Physics 2015-05-20 Y. Y. Xu , W. L. Yang , M. Feng

An open quantum system in contact with an infinite bath approaches equilibrium, while the state of the bath remains unchanged. If the bath is finite, the open system still relaxes to equilibrium, but it induces a dynamical evolution of the…

Quantum Physics · Physics 2022-05-20 Andreu Riera-Campeny , Anna Sanpera , Philipp Strasberg

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 derive the quantum thermodynamics of quantum Brownian motion from the exact solution of its reduced density matrix. We start from the total equilibrium thermal state between the Brownian particle and its reservoir, and solve analytically…

Quantum Physics · Physics 2024-07-09 Chuan-Zhe Yao , Wei-Min Zhang

We solve the model of N quantum Brownian oscillators linearly coupled to an environment of quantum oscillators at finite temperature, with no extra assumptions about the structure of the system-environment coupling. Using a compact…

Quantum Physics · Physics 2011-06-29 C. H. Fleming , Albert Roura , B. L. Hu