TY - JOUR

T1 - Initial-state dependence of the quench dynamics in integrable quantum systems. II. Thermal states

AU - He, Kai

AU - Rigol, Marcos

PY - 2012/6/11

Y1 - 2012/6/11

N2 - We study properties of isolated integrable quantum systems after a sudden quench starting from thermal states. We show that, even if the system is initially in thermal equilibrium at finite temperature, the diagonal entropy after a quench remains a fraction of the entropy in the generalized ensembles introduced to describe integrable systems after relaxation. The latter is also, in general, different from the entropy in thermal equilibrium. Furthermore, we examine the difference in the distributions of conserved quantities in the thermal versus the generalized ensembles after a quench and show that they are also, in general, different from each other. This explains why these systems fail to thermalize. A finite-size scaling analysis is presented for each quantity, which allows us to make predictions for thermodynamically large lattice sizes.

AB - We study properties of isolated integrable quantum systems after a sudden quench starting from thermal states. We show that, even if the system is initially in thermal equilibrium at finite temperature, the diagonal entropy after a quench remains a fraction of the entropy in the generalized ensembles introduced to describe integrable systems after relaxation. The latter is also, in general, different from the entropy in thermal equilibrium. Furthermore, we examine the difference in the distributions of conserved quantities in the thermal versus the generalized ensembles after a quench and show that they are also, in general, different from each other. This explains why these systems fail to thermalize. A finite-size scaling analysis is presented for each quantity, which allows us to make predictions for thermodynamically large lattice sizes.

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U2 - 10.1103/PhysRevA.85.063609

DO - 10.1103/PhysRevA.85.063609

M3 - Article

AN - SCOPUS:84862160551

SN - 1050-2947

VL - 85

JO - Physical Review A - Atomic, Molecular, and Optical Physics

JF - Physical Review A - Atomic, Molecular, and Optical Physics

IS - 6

M1 - 063609

ER -