TY - JOUR
T1 - Entanglement entropy in a periodically driven quantum Ising ring
AU - Palma, Gioacchino Massimo
AU - Apollaro, Tony J. G.
AU - Marino, Jamir
PY - 2016
Y1 - 2016
N2 - 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 ring. 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 a short-time relaxation, the dynamics of entanglement entropy synchronizes with h(t), displaying an oscillatory behavior at the frequency of the driving. Synchronization in the dynamics of entanglement entropy is spoiled by the appearance of quasirevivals which fade out in the thermodynamic limit, and which we interpret using a quasiparticle picture adapted to periodic drivings. We show that the time-averaged entanglement entropy in the synchronized regime obeys a volume law scaling with the subsystem's size. Such result is reminiscent of a thermal state or a generalized Gibbs ensemble, although the system does not heat up towards infinite temperature as a consequence of the integrability of the model.
AB - 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 ring. 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 a short-time relaxation, the dynamics of entanglement entropy synchronizes with h(t), displaying an oscillatory behavior at the frequency of the driving. Synchronization in the dynamics of entanglement entropy is spoiled by the appearance of quasirevivals which fade out in the thermodynamic limit, and which we interpret using a quasiparticle picture adapted to periodic drivings. We show that the time-averaged entanglement entropy in the synchronized regime obeys a volume law scaling with the subsystem's size. Such result is reminiscent of a thermal state or a generalized Gibbs ensemble, although the system does not heat up towards infinite temperature as a consequence of the integrability of the model.
KW - Electronic
KW - Optical and Magnetic Materials; Condensed Matter Physics
KW - Electronic
KW - Optical and Magnetic Materials; Condensed Matter Physics
UR - http://hdl.handle.net/10447/228250
UR - http://harvest.aps.org/bagit/articles/10.1103/PhysRevB.94.134304/apsxml
M3 - Article
VL - 94
JO - PHYSICAL REVIEW. B
JF - PHYSICAL REVIEW. B
SN - 2469-9969
ER -