Dissipaton dynamics theory versus quantum master equations
Sign Up to like & getrecommendations! Published in 2018 at "Chemical Physics"
DOI: 10.1016/j.chemphys.2018.08.046
Abstract: Abstract In this review article we present first a comprehensive account on the recently developed the dissipaton-equation-of-motion (DEOM) theory. This is a statistical quasi-particle theory for open quantum systems. It treats not only the quantum… read more here.
Keywords: master equations; quantum master; dissipaton dynamics; dynamics theory ... See more keywords
Discrete Generalized Quantum Master Equations.
Sign Up to like & getrecommendations! Published in 2025 at "Journal of chemical theory and computation"
DOI: 10.1021/acs.jctc.5c00396
Abstract: Several derivative and integral approximations are explored for discretizing the Nakajima-Zwanzig generalized quantum master equation (NZ-QME or GQME) to obtain discrete quantum master equation (DQME) hierarchies and relations between discrete memory kernel and reduced density… read more here.
Keywords: equation; quantum master; generalized quantum; discrete generalized ... See more keywords
The evolution of Liouville von Neumann master equations in the Pechukas–Yukawa framework
Sign Up to like & getrecommendations! Published in 2025 at "Low Temperature Physics"
DOI: 10.1063/10.0039872
Abstract: This paper presents a novel formalism for the out-of-equilibrium dynamics of the density matrix, capable of describing highly entangled many-body interactions. The evolution of quantum states is evaluated via eigenvalue dynamics of a general Hamiltonian… read more here.
Keywords: liouville von; pechukas yukawa; evolution liouville; von neumann ... See more keywords
Dynamics of the nonequilibrium spin-boson model: A benchmark of master equations and their validity
Sign Up to like & getrecommendations! Published in 2024 at "Physical Review A"
DOI: 10.1103/physreva.110.042428
Abstract: In recent years, there has been tremendous focus on identifying whether effective descriptions of open quantum systems such as master equations, can accurately describe the dynamics of open quantum systems. One particular question is whether… read more here.
Keywords: boson model; spin boson; master; master equations ... See more keywords
Quantum master equations for entangled qubit environments
Sign Up to like & getrecommendations! Published in 2018 at "Physical Review A"
DOI: 10.1103/physreva.98.062104
Abstract: We study the Markovian dynamics of a collection of n quantum systems coupled to an irreversible environmental channel consisting of a stream of n entangled qubits. Within the framework of repeated quantum interactions, we derive… read more here.
Keywords: qubit environments; equations entangled; master equations; quantum master ... See more keywords
Many-body open quantum systems beyond Lindblad master equations
Sign Up to like & getrecommendations! Published in 2019 at "Physical Review A"
DOI: 10.1103/physreva.99.012106
Abstract: Many-body quantum systems present a rich phenomenology which can be significantly altered when they are in contact with an environment. In order to study such setups, a number of approximations are usually performed, either concerning… read more here.
Keywords: lindblad master; many body; master equations; quantum systems ... See more keywords
From nonequilibrium Green's functions to quantum master equations for the density matrix and out-of-time-order correlators: Steady-state and adiabatic dynamics
Sign Up to like & getrecommendations! Published in 2021 at "Physical Review B"
DOI: 10.1103/physrevb.104.035425
Abstract: Bibek Bhandari, 2 Rosario Fazio, 4 Fabio Taddei, and Liliana Arrachea NEST, Scuola Normale Superiore and Istituto Nanoscienze-CNR, I-56126 Pisa, Italy Department of Physics and Astronomy, University of Rochester, Rochester, NY 14627, USA ICTP, Strada… read more here.
Keywords: nonequilibrium green; quantum master; master equations; equations density ... See more keywords
Approximate master equations for the spatial public goods game.
Sign Up to like & getrecommendations! Published in 2024 at "Physical review. E"
DOI: 10.1103/physreve.109.024304
Abstract: The spatial public goods game has been used to examine factors that promote cooperation. Owing to the complexity of the dynamics of this game, previous studies on this model neglected analytical approaches and relied entirely… read more here.
Keywords: approximate master; spatial public; game; public goods ... See more keywords
Complete positivity and thermal relaxation in quadratic quantum master equations.
Sign Up to like & getrecommendations! Published in 2024 at "Physical review. E"
DOI: 10.1103/physreve.110.054116
Abstract: The ultimate goal of this paper is to develop a systematic method for deriving quantum master equations that satisfy the requirements of a completely positive and trace-preserving (CPTP) map, further describing thermal relaxation processes. In this… read more here.
Keywords: thermal relaxation; quantum master; master equation; master ... See more keywords