Cumulative quantum work-deficit versus entanglement in the dynamics of an infinite spin chain

Abstract

We find that the dynamical phase transition (DPT) in nearest-neighbor bipartite entanglement of time-evolved states of the anisotropic infinite quantum XY spin chain, in a transverse time-dependent magnetic field, can be quantitatively characterized by the dynamics of an information-theoretic quantum correlation measure, namely, quantum work-deficit (QWD). We show that only those nonequilibrium states exhibit entanglement resurrection after death, on changing the field parameter during the DPT, for which the cumulative bipartite QWD is above a threshold. The results point to an interesting inter-relation between two quantum correlation measures that are conceptualized from different perspectives.

8 pages, 3 figures, elsarticle, final accepted version

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• Mapping generalized Jaynes-Cummings interaction into correlated finite-sized systems
• Adiabatic freezing of long-range quantum correlations in spin chains
• Adiabatic freezing of entanglement with insertion of defects in a one-dimensional Hubbard model