Title:	Quantum Brownian motion in a magnetic field: Transition from monotonic to oscillatory behaviour
Authors:	Satpathi, Urbashi Supurna, Sinha
Keywords:	Quantum Langevin equation Brownian motion Mean square displacement Cyclotron frequency Dissipation Memory kernel
Issue Date:	27-Apr-2018
Publisher:	Elsevier B.V.
Citation:	Physica A, 2018, Vol.506, p692–701
Abstract:	We investigate the Brownian motion of a charged particle in a magnetic field. We study this in the classical and quantum domains. In both domains, we observe a qualitatively interesting transition of the mean square displacement from a monotonic to a damped oscillatory behaviour as one increases the strength of the magnetic field. We notice that these features of the mean square displacement are robust and remain essentially the same for an Ohmic dissipation model and a single relaxation time model for the memory kernel. The predictions stemming from our analysis can be tested against experiments in trapped cold ions.
Description:	Restricted Access. An open-access version is available at arXiv.org (one of the alternative locations)
URI:	http://hdl.handle.net/2289/6911
ISSN:	0378-4371
Alternative Location:	https://arxiv.org/abs/1706.10080 https://doi.org/10.1016/j.physa.2018.04.085
Copyright:	2018 Elsevier B.V.
Appears in Collections:	Research Papers (TP)

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