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

Suraka Bhattacharjee, Urbashi Satpathi and Supurna Sinha

Physica A: Statistical Mechanics and its Applications, 2022, vol. 608, issue P1

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 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 ħkBT. 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.

Keywords: Brownian motion; Ohmic and Drude baths; Quantum Langevin equation; Correlation functions; Long time behaviours; Fluctuation–Dissipation theorem (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:608:y:2022:i:p1:s037843712200824x

DOI: 10.1016/j.physa.2022.128266

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