TY - JOUR
T1 - Universality and robustness of revivals in the transverse field XY model
AU - Häppölä, Juho
AU - Halász, Gábor B.
AU - Hamma, Alioscia
PY - 2012/3/12
Y1 - 2012/3/12
N2 - We study the structure of the revivals in an integrable quantum many-body system, the transverse field XY spin chain, after a quantum quench. The time evolutions of the Loschmidt echo, the magnetization, and the single-spin entanglement entropy are calculated. We find that the revival times for all of these observables are given by integer multiples of T revL/v max, where L is the linear size of the system and v max is the maximal group velocity of quasiparticles. This revival structure is universal in the sense that it does not depend on the initial state and the size of the quench. Applying nonintegrable perturbations to the XY model, we observe that the revivals are robust against such perturbations: they are still visible at time scales much larger than the quasiparticle lifetime. We therefore propose a generic connection between the revival structure and the locality of the dynamics, where the quasiparticle speed v max generalizes into the Lieb-Robinson speed v LR.
AB - We study the structure of the revivals in an integrable quantum many-body system, the transverse field XY spin chain, after a quantum quench. The time evolutions of the Loschmidt echo, the magnetization, and the single-spin entanglement entropy are calculated. We find that the revival times for all of these observables are given by integer multiples of T revL/v max, where L is the linear size of the system and v max is the maximal group velocity of quasiparticles. This revival structure is universal in the sense that it does not depend on the initial state and the size of the quench. Applying nonintegrable perturbations to the XY model, we observe that the revivals are robust against such perturbations: they are still visible at time scales much larger than the quasiparticle lifetime. We therefore propose a generic connection between the revival structure and the locality of the dynamics, where the quasiparticle speed v max generalizes into the Lieb-Robinson speed v LR.
UR - http://www.scopus.com/inward/record.url?scp=84858404991&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.85.032114
DO - 10.1103/PhysRevA.85.032114
M3 - Article
AN - SCOPUS:84858404991
SN - 1050-2947
VL - 85
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
IS - 3
M1 - 032114
ER -