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arXiv · 1311.3612

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

Elena Canovi·Elisa Ercolessi·Piero Naldesi·Luca Taddia·Davide Vodola
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Abstract

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 Ising model with a time-dependent magnetic field, which is linearly tuned on a time scale $\tau$ . The time evolution of the entanglement entropy displays different regimes depending on the value of $\tau$, showing also oscillations which depend on the instantaneous energy spectrum. The entanglement spectrum is characterized by a rich dynamics where multiple crossings take place with a gap-dependent frequency. Moreover, we investigate the Kibble-Zurek scaling of entanglement entropy and Schmidt gap.

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Elena Canovi, Elisa Ercolessi, Piero Naldesi, Luca Taddia, Davide Vodola. 2013-11-14. Dynamics of entanglement entropy and entanglement spectrum crossing a quantum phase transition. https://doi.org/10.1103/physrevb.89.104303

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