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Quantum dissipation of a heavy quark from a nonlinear stochastic Schrödinger equation

Journal of High Energy Physics volume 2018, Article number: 29 (2018) Cite this article

A preprint version of the article is available at arXiv.

Abstract

We study the open system dynamics of a heavy quark in the quark-gluon plasma using a Lindblad master equation. Applying the quantum state diffusion approach by Gisin and Percival, we derive and numerically solve a nonlinear stochastic Schrödinger equation for wave functions, which is equivalent to the Lindblad master equation for the density matrix. From our numerical analysis in one spatial dimension, it is shown that the density matrix relaxes to the Boltzmann distribution in various setups (with and without external potentials), independently of the initial conditions. We also confirm that quantum dissipation plays an essential role not only in the long-time behavior of the heavy quark but also at early times if the heavy quark initial state is localized and quantum decoherence is ineffective.

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Authors and Affiliations

  1. Department of Physics, Osaka University, Toyonaka, Osaka, 560-0043, Japan

    Yukinao Akamatsu, Masayuki Asakawa & Shiori Kajimoto

  2. Institute for Theoretical Physics, Heidelberg University, 69120, Heidelberg, Germany

    Alexander Rothkopf

  3. Faculty of Science and Technology, University of Stavanger, 4036, Stavanger, Norway

    Alexander Rothkopf

Authors
  1. Yukinao Akamatsu
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  2. Masayuki Asakawa
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  3. Shiori Kajimoto
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  4. Alexander Rothkopf
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Correspondence to Yukinao Akamatsu.

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ArXiv ePrint: 1805.00167

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Akamatsu, Y., Asakawa, M., Kajimoto, S. et al. Quantum dissipation of a heavy quark from a nonlinear stochastic Schrödinger equation. J. High Energ. Phys. 2018, 29 (2018). https://doi.org/10.1007/JHEP07(2018)029

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  • DOI: https://doi.org/10.1007/JHEP07(2018)029

Keywords

  • Quantum Dissipative Systems
  • Quark-Gluon Plasma
  • Stochastic Processes