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 τ . The time evolution of the entanglement entropy displays different regimes depending on the value of τ , 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 the entanglement entropy and Schmidt gap.

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

ERCOLESSI, ELISA;NALDESI, PIERO;VODOLA, DAVIDE
2014

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 transverse-field Ising model with a time-dependent magnetic field, which is linearly tuned on a time scale τ . The time evolution of the entanglement entropy displays different regimes depending on the value of τ , 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 the entanglement entropy and Schmidt gap.
Elena Canovi;Elisa Ercolessi;Piero Naldesi;Luca Taddia;Davide Vodola
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/283513
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