Title:	Long-time Tails in Quantum Brownian Motion of a charged particle in a magnetic field
Authors:	Bhattacharjee, Suraka Satpathi, Urbashi Sinha, Supurna
Issue Date:	22-Oct-2022
Publisher:	Elsevier
Citation:	Physica A, 2022, Vol. 608, p128266
Abstract:	We analyse the long time tails of a charged quantum Brownian particle in a harmonic potential in the presence of a magnetic field using the Quantum Langevin Equation as a starting point. We analyse the long time tails in the position autocorrelation function, position-velocity correlation function and velocity autocorrelation function. We study these correlations for a Brownian particle coupled to the Ohmic and Drude baths, via position coordinate coupling. At finite temperatures we notice a crossover from a power-law to an exponentially decaying behaviour around the thermal time scale \frac{\hbar}{K_B T} . We analyse how the appearance of the cyclotron frequency in our study of a charged quantum Brownian particle affects the behaviour of the long time tails and contrast it with the case of a neutral quantum Brownian particle.
Description:	Restricted Access. An open-access version is available at arXiv.org (one of the alternative locations)
URI:	http://hdl.handle.net/2289/8007
ISSN:	0378-4371
Alternative Location:	https://arxiv.org/abs/2201.09712 https://doi.org/10.1016/j.physa.2022.128266 https://ui.adsabs.harvard.edu/abs/2022arXiv220109712B/abstract
Copyright:	2022 Elsevier B.V.
Appears in Collections:	Research Papers (TP)

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