IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v608y2022ip1s037843712200824x.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S037843712200824X
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

    File URL: https://libkey.io/10.1016/j.physa.2022.128266?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. 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).
    4. Kai Huang & Izabela Szlufarska, 2015. "Effect of interfaces on the nearby Brownian motion," Nature Communications, Nature, vol. 6(1), pages 1-6, December.
    5. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Amir Farokh Payam & Bogyoung Kim & Doojin Lee & Nikhil Bhalla, 2022. "Unraveling the liquid gliding on vibrating solid liquid interfaces with dynamic nanoslip enactment," Nature Communications, Nature, vol. 13(1), pages 1-8, December.
    2. 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).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:608:y:2022:i:p1:s037843712200824x. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.