Friday, July 5, 2013

1307.1419 (Himadri Shekhar Dhar et al.)

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

Himadri Shekhar Dhar, Rupamanjari Ghosh, Aditi Sen De, Ujjwal Sen
The nearest-neighbor bipartite entanglement of the time-evolved states of an anisotropic infinite XY spin chain in a transverse time-dependent magnetic field is known to exhibit a dynamical phase transition. We show that the nature of the dynamical phase transition in entanglement can be quantitatively characterized by the dynamics of an information-theoretic quantum correlation measure, namely, quantum work-deficit. We find that the entanglement death and possible resurrection with changing a field parameter during the dynamical phase transition can be inferred by the amount of bipartite quantum work-deficit accumulated by the system during the evolution. Only those nonequilibrium states exhibit entanglement resurrection after death for which the amount of cumulative bipartite quantum work-deficit is above a threshold value that can be quantitatively estimated. The results point to an interesting inter-relation between two quantum correlation measures from radically different paradigms.
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