Correlations after Quantum Quenches in theXXZSpin Chain: Failure of the Generalized Gibbs Ensemble

2014/05/31 by B. Pozsgay, Balázs Pozsgay, Márton Mestyán +8 · 17 citations
Physics and Astronomy · #Formalism (music) #Mathematical physics #Non-equilibrium thermodynamics #Observable #Opinion Dynamics and Social Influence #Physics #Physics of Superconductivity and Magnetism #Quantum many-body systems #Quantum mechanics #cond-mat.stat-mech #nlin.SI

paper · pdf · doi:10.1103/physrevlett.113.117203

published as Phys. Rev. Lett. 113 (2014) 117203 · 5+2 pages, 5 figures. v2: final (published) version

openalex publication_date 2014/09/09 · arxiv created 2014/09/28 · arxiv updated 2014/09/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We study the nonequilibrium time evolution of the spin-1/2 anisotropic Heisenberg (XXZ) spin chain, with a choice of dimer product and Néel states as initial states. We investigate numerically various short-ranged spin correlators in the long-time limit and find that they deviate significantly from predictions based on the generalized Gibbs ensemble (GGE) hypotheses. By computing the asymptotic spin correlators within the recently proposed quench-action formalism [Phys. Rev. Lett. 110, 257203 (2013)], however, we find excellent agreement with the numerical data. We, therefore, conclude that the GGE cannot give a complete description even of local observables, while the quench-action formalism correctly captures the steady state in this case.

Citations

• Effect of Suddenly Turning on Interactions in the Luttinger Model
• Prethermalization in a Nonintegrable Quantum Spin Chain after a Quench
• On Next-Nearest-Neighbor Interaction in Linear Chain. I
• Efficient Simulation of One-Dimensional Quantum Many-Body Systems

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