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Quantum Brownian motion in a magnetic field: Transition from monotonic to oscillatory behaviour

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  • Satpathi, Urbashi
  • Sinha, Supurna

Abstract

We investigate the Brownian motion of a charged particle in a magnetic field. We study this in the classical and quantum domains. In both domains, we observe a qualitatively interesting transition of the mean square displacement from a monotonic to a damped oscillatory behaviour as one increases the strength of the magnetic field. We notice that these features of the mean square displacement are robust and remain essentially the same for an Ohmic dissipation model and a single relaxation time model for the memory kernel. The predictions stemming from our analysis can be tested against experiments in trapped cold ions.

Suggested Citation

  • Satpathi, Urbashi & Sinha, Supurna, 2018. "Quantum Brownian motion in a magnetic field: Transition from monotonic to oscillatory behaviour," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 692-701.
    • Handle: RePEc:eee:phsmap:v:506:y:2018:i:c:p:692-701
    DOI: 10.1016/j.physa.2018.04.085
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    References listed on IDEAS

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    1. Caldeira, A.O. & Leggett, A.J., 1983. "Path integral approach to quantum Brownian motion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 121(3), pages 587-616.
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    Cited by:

    1. Bhattacharjee, Suraka & Satpathi, Urbashi & Sinha, Supurna, 2022. "Quantum Brownian motion of a charged oscillator in a magnetic field coupled to a heat bath through momentum variables," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 605(C).
    2. Bhattacharjee, Suraka & Satpathi, Urbashi & Sinha, Supurna, 2022. "Long-time Tails in Quantum Brownian Motion of a charged particle in a magnetic field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 608(P1).

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