A thermodynamically consistent Markovian master equation beyond the secular approximation [PDF]
New Journal of Physics, 2021 Markovian master equations provide a versatile tool for describing open quantum systems when memory effects of the environment may be neglected. As these equations are of an approximate nature, they often do not respect the laws of thermodynamics when no
Patrick P. Potts, A. Kalaee, A. Wacker
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The master equation for passive modelocking [PDF]
EPJ Web of Conferences, 2023 Passive modelocking (PML) of lasers is pivotal in modern science and industry. Here, solving a half-century-long challenge, we present the first master equation (ME) describing PML on all time scales, from Q-switched to fundamental and harmonic ...
Prati Franco +3 more
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Modelling the Dynamics of Regret Minimization in Large Agent Populations: a Master Equation Approach
International Joint Conference on Artificial Intelligence, 2022 Understanding the learning dynamics in multiagent systems is an important and challenging task. Past research on multi-agent learning mostly focuses on two-agent settings.
Zhen Wang +4 more
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Solving Heterogeneous Agent Models with the Master Equation
Social Science Research Network, 2023 This paper proposes an analytic representation of perturbations in heterogeneous agent economies with aggregate shocks. Treating the underlying distribution as an explicit state variable, a single value function defined on an infinite-dimensional state ...
A. Bilal
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Numerical integration of the master equation in some models of stochastic epidemiology. [PDF]
PLoS ONE, 2012 The processes by which disease spreads in a population of individuals are inherently stochastic. The master equation has proven to be a useful tool for modeling such processes.
Garrett Jenkinson, John Goutsias
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A short introduction to the Lindblad master equation [PDF]
AIP Advances, 2019 The theory of open quantum system is one of the most essential tools for the development of quantum technologies. Furthermore, the Lindblad (or Gorini-Kossakowski-Sudarshan-Lindblad) Master Equation plays a key role as it is the most general generator of
D. Manzano
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Completely Positive, Simple, and Possibly Highly Accurate Approximation of the Redfield Equation [PDF]
Quantum, 2020 Here we present a Lindblad master equation that approximates the Redfield equation, a well known master equation derived from first principles, without significantly compromising the range of applicability of the Redfield equation.
Dragomir Davidović
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Simple master equations for describing driven systems subject to classical non-Markovian noise [PDF]
Quantum, 2023 Driven quantum systems subject to non-Markovian noise are typically difficult to model even if the noise is classical. We present a systematic method based on generalized cumulant expansions for deriving a time-local master equation for such systems ...
Peter Groszkowski +3 more
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Superoperator Master Equations and Effective Dynamics
Entropy, 2023 We developed the projection method to derive an analog of the quantum master equation for propagators rather than density matrices themselves. As these propagators are superoperators, we call them superoperator master equations.
Alexander Evgen’evich Teretenkov
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From the master equation to mean field game limit theory: a central limit theorem [PDF]
Electronic Journal of Probability, 2018 Mean field games (MFGs) describe the limit, as $n$ tends to infinity, of stochastic differential games with $n$ players interacting with one another through their common empirical distribution.
F. Delarue, D. Lacker, K. Ramanan
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