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Dynamics of entanglement entropy and entanglement spectrum crossing a quantum phase transition

Dynamics of entanglement entropy and entanglement spectrum crossing a quantum phase transition

We study the time evolution of entanglement entropy and entanglement spectrum in a finite-size system which crosses a quantum phase transition at different speeds. We focus on the transverse-field Ising model with a time-dependent magnetic field, which is linearly tuned on a time scale $\ensuremath{\tau}$. The time evolution of the …