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  • Letter
  • Open Access

Dynamics of measured many-body quantum chaotic systems

Alexander Altland1, Michael Buchhold1, Sebastian Diehl1, and Tobias Micklitz2

  • 1Institut für Theoretische Physik, Universität zu Köln, Zülpicher Str. 77, 50937 Cologne, Germany
  • 2Centro Brasileiro de Pesquisas Físicas, Rua Xavier Sigaud 150, 22290-180, Rio de Janeiro, Brazil

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Phys. Rev. Research 4, L022066 – Published 27 June, 2022

DOI: https://doi.org/10.1103/PhysRevResearch.4.L022066

Abstract

We consider the evolution of continuously measured many-body chaotic quantum systems. Focusing on the dynamics of state purification, we analytically describe the limits of strong and weak measurement rate, where the latter case is challenging in that monitoring up to time scales exponentially long in the numbers of particles is required. We complement the analysis of the limiting regimes with the construction of an effective replica theory providing information on the stability and the symmetries of the respective phases. The analytical results are tested by comparison to exact diagonalization.

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Information

Phys. Rev. Research 4, L022066– Published 27 June, 2022
  • Received 25 January 2022
  • Accepted 3 June 2022
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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