Time-dependent Markovian quantum master equation [PDF]
Physical Review A, 2018 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.
Roie Dann, Amikam Levy, R. Kosloff
semanticscholar +1 more source
Analysis of a Finite State Many Player Game Using Its Master Equation [PDF]
SIAM Journal of Control and Optimization, 2017 We consider an n-player symmetric stochastic game with weak interaction between the players. Time is continuous and the horizon and the number of states are finite.
Erhan Bayraktar, A. Cohen
semanticscholar +1 more source
Master equation approach for transport through Majorana zero modes
New Journal of Physics, 2022 Based on an exact formulation, we present a master equation approach to transport through Majorana zero modes (MZMs). Within the master equation treatment, the occupation dynamics of the regular fermion associated with the MZMs holds a quite different ...
Jinshuang Jin, Xin-Qi Li
doaj +1 more source
Stochastic simulation of catalytic surface reactions in the fast diffusion limit [PDF]
, 2006 The master equation of a lattice gas reaction tracks the probability of visiting all spatial configurations. The large number of unique spatial configurations on a lattice renders master equation simulations infeasible for even small lattices.
Haseltine, Eric L. +2 more
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Thermodynamic consistency of the optomechanical master equation [PDF]
Physical Review A, 2018 We investigate the thermodynamic consistency of the master equation description of heat transport through an optomechanical system attached to two heat baths, one optical and one mechanical.
M. T. Naseem +2 more
semanticscholar +1 more source
Spin-selective electron transfer reactions of radical pairs: Beyond the Haberkorn master equation. [PDF]
Journal of Chemical Physics, 2018 Radical pair recombination reactions are normally described using a quantum mechanical master equation for the electronic and nuclear spin density operator.
Thomas P Fay +2 more
semanticscholar +1 more source
Accurate Lindblad-form master equation for weakly damped quantum systems across all regimes
, 2020 Realistic models of quantum systems must include dissipative interactions with a thermal environment. For weakly-damped systems, while the Lindblad-form Markovian master equation is invaluable for this task, it applies only when the frequencies of any ...
G. McCauley +3 more
semanticscholar +1 more source
A finite state projection algorithm for the stationary solution of the chemical master equation. [PDF]
Journal of Chemical Physics, 2017 The chemical master equation (CME) is frequently used in systems biology to quantify the effects of stochastic fluctuations that arise due to biomolecular species with low copy numbers.
Ankit Gupta, Jan Mikelson, M. Khammash
semanticscholar +1 more source
Unraveling-paired dynamical maps recover the input of quantum channels
New Journal of Physics, 2023 We explore algebraic and dynamical consequences of unraveling general time-local master equations. We show that the ‘influence martingale’, the paramount ingredient of a recently discovered unraveling framework, pairs any time-local master equation with ...
Brecht Donvil +1 more
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Two Derivations of the Master Equation of Quantum Brownian Motion [PDF]
, 2006 Central to many discussion of decoherence is a master equation for the reduced density matrix of a massive particle experiencing scattering from its surrounding environment, such as that of Joos and Zeh.
Accardi L +18 more
core +2 more sources