Moments dynamics and stationary states for classical diffusion-type GKSL equations

Abstract

The explicit dynamics of the moments for the GKSL equation and the approach in finding stationary Gaussian states are obtained. In our case the GKSL equation corresponds to Wiener stochastic processes. Such equations contain a double commutator which can be understood as a quantum analog of the second spatial derivative.

References in corpus (5)

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• Irreversible quantum evolution with quadratic generator: Review
• Covariant Quantum Dynamical Semigroups: Unbounded generators
• Exact dynamics of moments and correlation functions for fermionic Poisson-type GKSL equations
• Dynamics of moments of arbitrary order for stochastic Poisson squeezings

Cited by in corpus (2)

• Exact dynamics of quantum dissipative $XX$ models: Wannier-Stark localization in the fragmented operator space
• Duality between open systems and closed bilayer systems: Thermofield double states as quantum many-body scars