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  • Letter
  • Open Access

Entanglement echo and dynamical entanglement transitions

Kim Pöyhönen and Teemu Ojanen

  • Computational Physics Laboratory, Physics Unit, Faculty of Engineering and Natural Sciences, Tampere University, P.O. Box 692, FI-33014 Tampere, Finland and Helsinki Institute of Physics P.O. Box 64, FI-00014, Finland

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Phys. Rev. Research 3, L042027 – Published 18 November, 2021

DOI: https://doi.org/10.1103/PhysRevResearch.3.L042027

Abstract

We formulate dynamical phase transitions in subsystems embedded in larger quantum systems. Introducing the entanglement echo as an overlap of the initial and instantaneous entanglement ground states, we show its analytic structure after a quench provides natural definition of dynamical phase transitions in the subsystem. These transitions come in two varieties: the entanglement-type transitions and the bulk-type Loschmidt transitions. The entanglement-type transitions arise from periodic reorganization of quantum correlations between the subsystem and its environment, manifesting in instantaneous entanglement ground state degeneracies. Furthermore, the entanglement echo distinguishes the direction of the quench, resolves spatially distinct dynamical phase transitions for nonuniform quenches, and give rise to sharply defined transitions for mixed initial states. We propose an experimental probe to identify entanglement-type transitions through temporal changes in subsystem fluctuations.

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Phys. Rev. Research 3, L042027– Published 18 November, 2021
  • Received 21 June 2021
  • Accepted 21 October 2021
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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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