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

Ferenc Iglói () and Csaba Zoltán Király ()
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Ferenc Iglói: Wigner Research Centre for Physics, Institute for Solid State Physics and Optics
Csaba Zoltán Király: University of Szeged

The European Physical Journal B: Condensed Matter and Complex Systems, 2024, vol. 97, issue 6, 1-12

Abstract: 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.

Date: 2024
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DOI: 10.1140/epjb/s10051-024-00715-2

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