Version 1
: Received: 29 September 2018 / Approved: 30 September 2018 / Online: 30 September 2018 (08:00:52 CEST)
How to cite:
Apollaro, T.J.G.; Lorenzo, S. Coexistence of Different Scaling Laws for the Entanglement Entropy in a Periodically Driven System. Preprints2018, 2018090603. https://doi.org/10.20944/preprints201809.0603.v1
Apollaro, T.J.G.; Lorenzo, S. Coexistence of Different Scaling Laws for the Entanglement Entropy in a Periodically Driven System. Preprints 2018, 2018090603. https://doi.org/10.20944/preprints201809.0603.v1
Apollaro, T.J.G.; Lorenzo, S. Coexistence of Different Scaling Laws for the Entanglement Entropy in a Periodically Driven System. Preprints2018, 2018090603. https://doi.org/10.20944/preprints201809.0603.v1
APA Style
Apollaro, T.J.G., & Lorenzo, S. (2018). Coexistence of Different Scaling Laws for the Entanglement Entropy in a Periodically Driven System. Preprints. https://doi.org/10.20944/preprints201809.0603.v1
Chicago/Turabian Style
Apollaro, T.J.G. and Salvatore Lorenzo. 2018 "Coexistence of Different Scaling Laws for the Entanglement Entropy in a Periodically Driven System" Preprints. https://doi.org/10.20944/preprints201809.0603.v1
Abstract
The out-of-equilibrium dynamics of many body systems has recently received a burst of interest, also due to experimental implementations. The dynamics of both observables, such as magnetization and susceptibilities, and quantum information related quantities, such as concurrence and entanglement entropy, have been investigated under different protocols bringing the system out of equilibrium. In this paper we focus on the entanglement entropy dynamics under a sinusoidal drive of the tranverse magnetic field in the 1D quantum Ising model. We find that the area and the volume law of the entanglement entropy coexist under periodic drive for an initial non-critical ground state. Furthermore, starting from a critical ground state, the entanglement entropy exhibits finite size scaling even under such a periodic drive. This critical-like behaviour of the out-of-equilibrium driven state can persist for arbitrarily long time, provided that the entanglement entropy is evaluated on increasingly subsytem sizes, whereas for smaller sizes a volume law holds. Finally, we give an interpretation of the simultaneous occurrence of critical and non-critical behaviour in terms of the propagation of Floquet quasi-particles.
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
