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

Autor: Suraka Bhattacharjee, Urbashi Satpathi, Supurna Sinha
Rok vydání: 2022
Předmět:
Zdroj: Physica A: Statistical Mechanics and its Applications. 608:128266
ISSN: 0378-4371
DOI: 10.1016/j.physa.2022.128266
Popis: 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.
10 pages, 3 figures
Databáze: OpenAIRE
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