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DY: Fachverband Dynamik und Statistische Physik

DY 2: Quantum Dynamics, Decoherence and Quantum Information

DY 2.8: Vortrag

Montag, 31. März 2014, 11:45–12:00, HÜL 186

Dynamics of entanglement entropy and entanglement spectrum crossing a quantum phase transition — •Elena Canovi¹, Elisa Ercolessi², Piero Naldesi², Luca Taddia², and Davide Vodola^2,3 — ¹Institut für Theoretische Physik III, Universität Stuttgart, Pfaffenwaldring 57, 70550 Stuttgart, Germany — ²Dipartimento di Fisica e Astronomia dell'Università di Bologna and INFN, Sezione di Bologna, Via Irnerio 46, 40127 Bologna, Italy — ³PCMS (UMR 7504) and ISIS (UMR 7006), Université de Strasbourg and CNRS, Strasbourg, France

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 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 entanglement entropy and Schmidt gap.