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EnglishWe 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.
| Titolo: | Dynamics of entanglement entropy and entanglement spectrum crossing a quantum phase transition |
| Autore/i: | Elena Canovi; ERCOLESSI, ELISA; NALDESI, PIERO; Luca Taddia; VODOLA, DAVIDE |
| Autore/i Unibo: | |
| Anno: | 2014 |
| Rivista: | |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1103/PhysRevB.89.104303 |
| 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. |
| Data prodotto definitivo in UGOV: | 2014-12-15 07:23:04 |
| Appare nelle tipologie: | 1.01 Articolo in rivista |
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http://hdl.handle.net/11585/283513
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