Quenching the anisotropic Heisenberg chain: Exact solution and generalized gibbs ensemble predictions

B. Wouters, J. De Nardis, M. Brockmann, D. Fioretto, M. Rigol, J. S. Caux

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Abstract

We study quenches in integrable spin-1/2 chains in which we evolve the ground state of the antiferromagnetic Ising model with the anisotropic Heisenberg Hamiltonian. For this nontrivially interacting situation, an application of the first-principles-based quench-action method allows us to give an exact description of the postquench steady state in the thermodynamic limit. We show that a generalized Gibbs ensemble, implemented using all known local conserved charges, fails to reproduce the exact quench-action steady state and to correctly predict postquench equilibrium expectation values of physical observables. This is supported by numerical linked-cluster calculations within the diagonal ensemble in the thermodynamic limit.

Original languageEnglish (US)
Article number117202
JournalPhysical Review Letters
Volume113
Issue number11
DOIs
StatePublished - Sep 12 2014

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All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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