Quantum Brownian motion of a charged oscillator in a magnetic field coupled to a heat bath through momentum variables

Suraka Bhattacharjee, Urbashi Satpathi, Supurna Sinha

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We study the Quantum Brownian motion of a charged particle moving in a harmonic potential in the presence of an uniform external magnetic field and linearly coupled to an Ohmic bath through momentum variables. We analyse the growth of the mean square displacement of the particle in the classical high temperature domain and in the quantum low temperature domain dominated by zero point fluctuations. We also analyse the Position Response Function and the long time tails of various correlation functions. We notice some distinctive features, different from the usual case of a charged quantum Brownian particle in a magnetic field and linearly coupled to an Ohmic bath via position variables.

Original languageEnglish
Article number128010
JournalPhysica A: Statistical Mechanics and its Applications
Volume605
DOIs
StatePublished - 1 Nov 2022

Keywords

  • Correlation functions
  • Langevin equation
  • Mean square displacement
  • Momentum coupling
  • Quantum Brownian motion
  • Response function

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability

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