We consider the time evolution after quantum quenches in the spin-1/2 Heisenberg XXZ quantum spin chain with Ising-type anisotropy. The time evolution of short-distance spin-spin correlation functions is studied by numerical tensor network techniques for a variety of initial states, including Neel and Majumdar-Ghosh states and the ground state of the XXZ chain at large values of the anisotropy. The various correlators appear to approach stationary values, which are found to be in good agreement with the results of exact calculations of stationary expectation values in appropriate generalized Gibbs ensembles. In particular, our analysis shows how symmetries of the post-quench Hamiltonian that are broken by particular initial states are restored at late times. © 2014 American Physical Society.

Relaxation after quantum quenches in the spin-1/2 Heisenberg XXZ chain / Fagotti, M.; Collura, M.; Essler, F. H. L.; Calabrese, P.. - In: PHYSICAL REVIEW. B, CONDENSED MATTER AND MATERIALS PHYSICS. - ISSN 1098-0121. - 89:12(2014), pp. 1-25. [10.1103/PhysRevB.89.125101]

Relaxation after quantum quenches in the spin-1/2 Heisenberg XXZ chain

Fagotti, M.;Collura, M.;Calabrese, P.
2014-01-01

Abstract

We consider the time evolution after quantum quenches in the spin-1/2 Heisenberg XXZ quantum spin chain with Ising-type anisotropy. The time evolution of short-distance spin-spin correlation functions is studied by numerical tensor network techniques for a variety of initial states, including Neel and Majumdar-Ghosh states and the ground state of the XXZ chain at large values of the anisotropy. The various correlators appear to approach stationary values, which are found to be in good agreement with the results of exact calculations of stationary expectation values in appropriate generalized Gibbs ensembles. In particular, our analysis shows how symmetries of the post-quench Hamiltonian that are broken by particular initial states are restored at late times. © 2014 American Physical Society.
2014
89
12
1
25
125101
https://arxiv.org/abs/1311.5216
Fagotti, M.; Collura, M.; Essler, F. H. L.; Calabrese, P.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/12698
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