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

Author

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

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 ħkBT. 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.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:phsmap:v:608:y:2022:i:p1:s037843712200824x
    DOI: 10.1016/j.physa.2022.128266
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    References listed on IDEAS

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    1. Kai Huang & Izabela Szlufarska, 2015. "Effect of interfaces on the nearby Brownian motion," Nature Communications, Nature, vol. 6(1), pages 1-6, December.
    2. 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.
    3. Bandyopadhyay, Malay, 2012. "Role of environment and confinement in quantum dissipative dynamics: A pedestrian approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(12), pages 3399-3412.
    4. 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).
    5. Kumar, Jishad, 2014. "Quantum dynamics of a dissipative and confined cyclotron motion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 393(C), pages 182-206.
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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).

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