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

TL;DR

This paper investigates the relationship between quantum work-deficit and entanglement during dynamical phase transitions in an infinite quantum XY spin chain, revealing how quantum correlations influence entanglement revival.

Contribution

It demonstrates that quantum work-deficit can predict entanglement resurrection in a spin chain during dynamical phase transitions, linking two different quantum correlation measures.

Findings

Quantum work-deficit characterizes dynamical phase transitions.

Entanglement revival depends on cumulative quantum work-deficit.

Quantum correlations from different perspectives are interrelated.

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.