Title:	Decoherence and the ultraviolet cutoff: non-Markovian dissipative dynamics of a charged particle in a magnetic field
Authors:	Bhattacharjee, Suraka Mandal, Koushik Sinha, Supurna
Issue Date:	19-May-2023
Publisher:	IOP Publishing Ltd
Citation:	Journal of Physics A : Mathematical and Theoretical, 2023, Vol. 56,p245301
Abstract:	We derive a non-Markovian master equation for a charged particle in a magnetic field coupled to a bath and study decoherence by analyzing the temporal decay of the off-diagonal elements of the reduced density matrix in the position basis. The coherent oscillations characterized by the cyclotron frequency get suppressed as a result of decoherence due to coupling with the environment. We consider an Ohmic bath with three distinct models for the high-frequency cutoff for the spectral density of the bath and compare the three cases. As expected, the three cutoff models converge in the limit of the uppermost frequency of the bath tending to infinity. We notice a dramatic slowing down of loss of coherence in the low-temperature limit dominated by zero point quantum fluctuations compared to the high-temperature classical limit dominated by thermal fluctuations. We also go beyond the Ohmic model and study super-Ohmic and sub-Ohmic baths with the spectral densities deviating from a linear dependence on the frequency. Our results are testable in a state of the art cold atom laboratory.
Description:	Restricted Access. An open-access version is available at arXiv.org (one of the alternative locations)
URI:	http://hdl.handle.net/2289/8100
ISSN:	1751-8113 1751-8121 (Online)
Alternative Location:	https://arxiv.org/abs/2301.06365 https://doi.org/10.1088/1751-8121/acd231 https://ui.adsabs.harvard.edu/abs/2023arXiv230106365B/abstract
Copyright:	2023 IOP Publishing Ltd
Appears in Collections:	Research Papers (TP)

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