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

Suraka Bhattacharjee, Urbashi Satpathi, Supurna Sinha

Research output: Contribution to journalArticlepeer-review

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 [Formula presented]. 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.

Original languageEnglish
Article number128266
JournalPhysica A: Statistical Mechanics and its Applications
Volume608
DOIs
StatePublished - 15 Dec 2022

Keywords

  • Brownian motion
  • Correlation functions
  • Fluctuation–Dissipation theorem
  • Long time behaviours
  • Ohmic and Drude baths
  • Quantum Langevin equation

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability

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