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We consider the time evolution after quantum quenches in the spin-1/2Heisenberg XXZ quantum spin chain with Ising-like anisotropy. The timeevolution of short-distance spin-spin correlation functions is studied bynumerical tensor network techniques for a variety of initial states, includingN\'eel and Majumdar-Ghosh states and the ground state of the XXZ chain at largevalues of the anisotropy. The various correlators appear to approach stationaryvalues, which are found to be in good agreement with the results of exactcalculations of stationary expectation values in appropriate generalized Gibbsensembles. In particular, our analysis shows how symmetries of the post-quenchHamiltonian that are broken by particular initial states are restored at latetimes.

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