Positive Quantum Brownian Evolution

Abstract

Using the independent oscillator model with an arbitrary system potential, we derive a quantum Brownian equation assuming a correlated total initial state. Although not of Lindblad form, the equation preserves positivity of the density operator on a restricted set of initial states.

Cited by in corpus (7)

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• On the standard quantum Brownian equation and an associated class of non-autonomous master equations
• Zero-point energies, the uncertainty principle and positivity of the quantum Brownian density operator
• Non-Markovian Caldeira--Leggett quantum master equation
• A Davydov Ansatz approach to accurate system-bath dynamics in the presence of multiple baths with distinct temperatures