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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
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 (one of the alternative locations)
ISSN: 0378-4371
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Copyright: 2018 Elsevier B.V.
Appears in Collections:Research Papers (TP)

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