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Entanglement detection in postquench nonequilibrium states: thermal Gibbs vs. generalized Gibbs ensemble

Author

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  • Ferenc Iglói

    (Wigner Research Centre for Physics, Institute for Solid State Physics and Optics
    University of Szeged)

  • Csaba Zoltán Király

    (University of Szeged)

Abstract

We use entanglement witnesses related to the entanglement negativity of the state to detect entanglement in the XY chain in the postquench states in the thermodynamic limit after a quench when the parameters of the Hamiltonian are changed suddenly. The entanglement negativity is related to correlations, which in the postquench stationary state are described by a generalized Gibbs ensemble, in the ideal case. If, however, integrability breaking perturbations are present, the system is expected to thermalize. Here, we compare the nearest-neighbor entanglement in the two circumstances. Graphical Abstract Postquench states after a sudden quench protocol $$(h_0, \gamma ) \rightarrow (h, \gamma )$$ ( h 0 , γ ) → ( h , γ ) in the XY chain.

Suggested Citation

  • Ferenc Iglói & Csaba Zoltán Király, 2024. "Entanglement detection in postquench nonequilibrium states: thermal Gibbs vs. generalized Gibbs ensemble," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 97(6), pages 1-12, June.
    • Handle: RePEc:spr:eurphb:v:97:y:2024:i:6:d:10.1140_epjb_s10051-024-00715-2
    DOI: 10.1140/epjb/s10051-024-00715-2
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