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

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  • Bhattacharjee, Suraka
  • Satpathi, Urbashi
  • Sinha, Supurna

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.

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  • 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).
    • Handle: RePEc:eee:phsmap:v:605:y:2022:i:c:s0378437122006355
    DOI: 10.1016/j.physa.2022.128010
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    References listed on IDEAS

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    1. Johannes Berner & Boris Müller & Juan Ruben Gomez-Solano & Matthias Krüger & Clemens Bechinger, 2018. "Oscillating modes of driven colloids in overdamped systems," Nature Communications, Nature, vol. 9(1), pages 1-8, December.
    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).
    3. 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.
    4. 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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    1. 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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