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arXiv:2201.09712 · Physica A Statistical Mechanics and its Applications

Long-time Tails in Quantum Brownian Motion of a charged particle in a magnetic field

Suraka Bhattacharjee, Urbashi Satpathi, Supurna Sinha

Published Oct 22, 2022• 5 citations
arXivHTMLPDF
DOI
10.1016/j.physa.2022.128266

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The authors address the problem of quantum Brownian motion at low temperatures and with arbitrarily strong damping. For a harmonically bound particle the zero-temperature correlation functions are shown to display long-time tails. At finite temperatures an power-law decay at intermediate times is followed by an exponential decay with time constant \ensuremath{\Elzxh}/2\ensuremath{\pi}kB{k}_{B}kB​T. The case of free Brownian motion is treated, and some general conclusions for nonlinear systems are drawn.