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Quantum nonequilibrium dynamics from Knizhnik-Zamolodchikov equations

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  • Published: 07 April 2022
  • Volume 2022, article number 39, (2022)
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Quantum nonequilibrium dynamics from Knizhnik-Zamolodchikov equations
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  • Tigran A. Sedrakyan  ORCID: orcid.org/0000-0001-9552-68111 &
  • Hrachya M. Babujian2 

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A preprint version of the article is available at arXiv.

Abstract

We consider a set of non-stationary quantum models. We show that their dynamics can be studied using links to Knizhnik-Zamolodchikov (KZ) equations for correlation functions in conformal field theories. We specifically consider the boundary Wess-Zumino-Novikov-Witten model, where equations for correlators of primary fields are defined by an extension of KZ equations and explore the links to dynamical systems. As an example of the workability of the proposed method, we provide an exact solution to a dynamical system that is a specific multi-level generalization of the two-level Landau-Zenner system known in the literature as the Demkov-Osherov model. The method can be used to study the nonequilibrium dynamics in various multi-level systems from the solution of the corresponding KZ equations.

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Authors and Affiliations

  1. Department of Physics, University of Massachusetts, Amherst, MA, 01003, USA

    Tigran A. Sedrakyan

  2. A. Alikhanyan National Scientific Laboratory, Yerevan Physics Institute, Yerevan, Armenia

    Hrachya M. Babujian

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  1. Tigran A. Sedrakyan
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Correspondence to Tigran A. Sedrakyan.

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Sedrakyan, T.A., Babujian, H.M. Quantum nonequilibrium dynamics from Knizhnik-Zamolodchikov equations. J. High Energ. Phys. 2022, 39 (2022). https://doi.org/10.1007/JHEP04(2022)039

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  • Received: 30 December 2021

  • Revised: 21 March 2022

  • Accepted: 22 March 2022

  • Published: 07 April 2022

  • DOI: https://doi.org/10.1007/JHEP04(2022)039

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Keywords

  • Bethe Ansatz
  • Conformal Field Theory
  • Integrable Field Theories
  • Quantum Dissipative Systems
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