Stationary behaviour of observables after a quantum quench in the spin-1/2 Heisenberg XXZ chain

2013/05/31 by Maurizio Fagotti, Fabian H. L. Essler, Fabian H L Essler
Computer Science · Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Chain (unit) #Class (philosophy) #Heisenberg model #Heisenberg picture #Observable #Quantum #Quantum Information and Cryptography #Quantum discord #Quantum many-body systems #Transfer matrix #cond-mat.stat-mech #math-ph #math.MP #quant-ph

paper · pdf · doi:10.1088/1742-5468/2013/07/p07012

published as J. Stat. Mech. (2013) P07012 · 14 pages, 1 table, minor changes

openalex publication_date 2013/07/22 · arxiv created 2013/07/30 · arxiv updated 2013/07/31 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We consider a quantum quench in the spin-1/2 Heisenberg XXZ chain. At late times after the quench it is believed that the expectation values of local operators approach time-independent values that are described by a generalized Gibbs ensemble. Employing a quantum transfer matrix approach we show how to determine short-range correlation functions in such generalized Gibbs ensembles for a class of initial states.

Citations

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