Long time dynamics following a quench in an integrable quantum spin chain: local versus non-local operators and effective thermal behavior

Details Long time dynamics following a quench in an integrable quantum spin chain: local versus non-local operators and effective thermal behavior Long time dynamics following a quench in an integrable quantum spin chain: local versus non-local operators and effective thermal behavior

2010-02-15

arxiv.org/abs/1002.2842v2

Phys.Rev.B82:144302,2010

Physics

Condensed Matter

Statistical Mechanics

18 pages, 11 figures, published version. Extensive changes, one author added

Scientific paper

10.1103/PhysRevB.82.144302

We study the dynamics of the quantum Ising chain following a zero-temperature quench of the transverse field strength. Focusing on the behavior of two-point spin correlation functions, we show that the correlators of the order parameter display an effective asymptotic thermal behavior, i.e., they decay exponentially to zero, with a phase coherence rate and a correlation length dictated by the equilibrium law with an effective temperature set by the energy of the initial state. On the contrary, the two-point correlation functions of the transverse magnetization or the density-of-kinks operator decay as a power-law and do not exhibit thermal behavior. We argue that the different behavior is linked to the locality of the corresponding operator with respect to the quasi-particles of the model: non-local operators, such as the order parameter, behave thermally, while local ones do not. We study which features of the two-point correlators are a consequence of the integrability of the model by analizing their robustness with respect to a sufficiently strong integrability-breaking term.

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