Next Article in Journal
Privacy in Quantum Estimation
Previous Article in Journal
Preserving Nonclassicality in Noisy Communication Channels
Open AccessProceedings

Coexistence of Different Scaling Laws for the Entanglement Entropy in a Periodically Driven System

by 1,*,‡ and 2,‡
1
Department of Physics, University of Malta, Msida MSD 2080, Malta
2
Dipartimento di Fisica e Chimica, Universitá degli Studi di Palermo, via Archirafi 36, I-90123 Palermo, Italy
*
Author to whom correspondence should be addressed.
Presented at the 11th Italian Quantum Information Science conference (IQIS2018), Catania, Italy, 17–20 September 2018.
These authors contributed equally to this work.
Proceedings 2019, 12(1), 6; https://doi.org/10.3390/proceedings2019012006
Published: 25 June 2019
(This article belongs to the Proceedings of 11th Italian Quantum Information Science conference (IQIS2018))
The out-of-equilibrium dynamics of many body systems has recently received a burst of interest, also due to experimental implementations. The dynamics of 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.
Keywords: entanglement entropy, quantum phase transition, finite size scaling, periodically driven model, quantum Ising chain entanglement entropy, quantum phase transition, finite size scaling, periodically driven model, quantum Ising chain
MDPI and ACS Style

Apollaro, T.J.G.; Lorenzo, S. Coexistence of Different Scaling Laws for the Entanglement Entropy in a Periodically Driven System. Proceedings 2019, 12, 6. https://doi.org/10.3390/proceedings2019012006

AMA Style

Apollaro TJG, Lorenzo S. Coexistence of Different Scaling Laws for the Entanglement Entropy in a Periodically Driven System. Proceedings. 2019; 12(1):6. https://doi.org/10.3390/proceedings2019012006

Chicago/Turabian Style

Apollaro, Tony J.G.; Lorenzo, Salvatore. 2019. "Coexistence of Different Scaling Laws for the Entanglement Entropy in a Periodically Driven System" Proceedings 12, no. 1: 6. https://doi.org/10.3390/proceedings2019012006

Find Other Styles
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop