The nonlinear thermodynamic quantum master equation
Hans Christian \"Ottinger
TL;DR
This paper introduces a nonlinear quantum master equation derived from thermodynamic principles, improving the modeling of dissipative quantum systems and ensuring proper equilibrium solutions.
Contribution
It presents a novel nonlinear thermodynamic quantum master equation that naturally incorporates irreversibility and enhances the dynamic accuracy of dissipative quantum system models.
Findings
The nonlinear equation yields correct equilibrium states.
It improves the dynamic behavior of dissipative quantum systems.
The Markovian property of the equation is discussed.
Abstract
The quantum master equation obtained by generalizing the geometric formulation of nonequilibrium thermodynamics to dissipative quantum systems is seriously nonlinear. We argue that nonlinearity occurs naturally in the step from reversible to irreversible equations and we analyze the nature of the nonlinear contribution. The thermodynamic nonlinearity leads to proper equilibrium solutions and improves the dynamic behavior of dissipative quantum systems. We also discuss the Markovian character of the thermodynamic quantum master equation. The general ideas are illustrated for two-level systems.
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Taxonomy
TopicsAdvanced Thermodynamics and Statistical Mechanics · Spectroscopy and Quantum Chemical Studies · Quantum Information and Cryptography