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arXiv · 1701.05883

Multipartite entanglement after a quantum quench

Silvia Pappalardi·Angelo Russomanno·Alessandro Silva·Rosario Fazio
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Abstract

We study the multipartite entanglement of a quantum many-body system undergoing a quantum quench. We quantify multipartite entanglement through the quantum Fisher information (QFI) density and we are able to express it after a quench in terms of a generalized response function. For pure state initial conditions and in the thermodynamic limit, we can express the QFI as the fluctuations of an observable computed in the so-called diagonal ensemble. We apply the formalism to the dynamics of a quantum Ising chain after a quench in the transverse field. In this model the asymptotic state is, in almost all cases, more than two-partite entangled. Moreover, starting from the ferromagnetic phase, we find a divergence of multipartite entanglement for small quenches closely connected to a corresponding divergence of the correlation length.

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Silvia Pappalardi, Angelo Russomanno, Alessandro Silva, Rosario Fazio. 2017-01-20. Multipartite entanglement after a quantum quench. https://doi.org/10.1088/1742-5468/aa6809

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