6533b824fe1ef96bd128002c

RESEARCH PRODUCT

Entanglement entropy in a periodically driven quantum Ising chain

Tony J. G. ApollaroTony J. G. ApollaroG. Massimo PalmaJamir Marino

subject

---Electronic Optical and Magnetic Materials; Condensed Matter PhysicsPhysicsQuantum discordQuantum PhysicsStatistical Mechanics (cond-mat.stat-mech)Electronic Optical and Magnetic MaterialConfiguration entropyFOS: Physical sciencesQuantum entanglementCondensed Matter PhysicsSquashed entanglement01 natural sciencesTopological entropy in physicsSettore FIS/03 - Fisica Della MateriaQuantum relative entropy010305 fluids & plasmasQuantum mechanics0103 physical sciencesQuantum Physics (quant-ph)010306 general physicsEntropy (arrow of time)Joint quantum entropyCondensed Matter - Statistical Mechanics

description

We numerically study the dynamics of entanglement entropy, induced by an oscillating time periodic driving of the transverse field, h(t), of a one-dimensional quantum Ising chain. We consider several realizations of h(t), and we find a number of results in analogy with entanglement entropy dynamics induced by a sudden quantum quench. After short-time relaxation, the dynamics of entanglement entropy synchronises with h(t), displaying an oscillatory behaviour at the frequency of the driving. Synchronisation in the dynamics of entanglement entropy, is spoiled by the appearance of quasi-revivals which fade out in the thermodynamic limit, and which we interpret using a quasi-particle picture adapted to periodic drivings. Taking the time-average of the entanglement entropy in the synchronised regime, we find that it obeys a volume law scaling with the subsystem's size. Such result is reminiscent of a thermal state or of a Generalised Gibbs ensemble of a quenched Ising chain, although the system does not heat up towards infinite temperature as a consequence of the integrability of the model.

yearjournalcountryeditionlanguage
2016-03-11
10.1103/physrevb.94.134304http://arxiv.org/abs/1603.03579