Dynamical quantum phase transition with divergent multipartite entanglement

TL;DR

This paper explores a new type of dynamical quantum phase transition in the transverse-field Ising model, characterized by divergent multipartite entanglement, with implications for quantum metrology and experimental realization.

Contribution

It introduces a novel DQPT marked by divergent multipartite entanglement, analyzed via quantum Fisher information, and distinguishes it from ground-state phase transitions.

Findings

DQPT characterized by divergent multipartite entanglement

DQPT belongs to a different universality class than ground-state transitions

Potential for experimental realization in Rydberg platforms

Abstract

We investigate the nonequilibrium quench dynamics of the one-dimensional transverse-field Ising model in both integrable and nonintegrable regimes. In particular, we report on a novel type of dynamical quantum phase transition (DQPT) that is characterized by a divergent multipartite entanglement at critical times in the post-quench dynamics. We quantify the multipartite entanglement of the state by the quantum Fisher information and demonstrate that the DQPT belongs to a different universality class than the ground-state phase transition. Furthermore, we perform a spectral analysis of the DQPT and demonstrate that it is a genuine nonequilibrium transition arising from the constructive interference of excited states of the system during the many-body dynamics. Finally, we discuss potential experimental realizations in Rydberg platforms as well as applications in the context of quantum metrology.