Strong-damping limit of quantum Brownian motion in a disordered environment.
basic_science · Level V
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- Record sourced from PubMed, PMID 42141587.
- Also identified by DOI 10.1103/3nj5-hbdc.
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Abstract
We consider a microscopic model of an inhomogeneous environment where an arbitrary quantum system is locally coupled to a harmonic bath via a finite-range interaction. We show that in the overdamped regime the position distribution obeys a classical Kramers-Moyal equation that involves an infinite number of higher-order derivatives, implying that the finite bath correlation length leads to non-Gaussian Markovian noise. We analytically solve the equation for a harmonically bound particle and analyze its non-Gaussian diffusion as well as its steady-state properties.