Effective Thermal Dynamics Following a Quantum Quench in a Spin Chain

2008/10/31 by Davide Rossini, Alessandro Silva, Giuseppe Mussardo +2 · 10 citations
Physics and Astronomy · #Autocorrelation #Coherence (philosophical gambling strategy) #Condensed matter physics #Hamiltonian (control theory) #Ising model #Mathematical physics #Non-equilibrium thermodynamics #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum and electron transport phenomena #Quantum many-body systems #Quantum mechanics #Statistical physics #Thermal #Thermal equilibrium #Thermodynamics #cond-mat.stat-mech #quant-ph

paper · pdf · doi:10.1103/physrevlett.102.127204

published as Phys. Rev. Lett. 102, 127204 (2009) · 4 pages, 4 figures. Published version

openalex publication_date 2009/03/26 · arxiv created 2009/03/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study the nonequilibrium dynamics of the quantum Ising model following an abrupt quench of the transverse field. We focus on the on-site autocorrelation function of the order parameter, and extract the phase-coherence time tau(Q)(phi) from its asymptotic behavior. We show that the initial state determines tau(Q)(phi) only through an effective temperature set by its energy and the final Hamiltonian. Moreover, we observe that the dependence of tau(Q)(phi) on the effective temperature fairly agrees with that obtained in thermal equilibrium as a function of the equilibrium temperature.

Citations

• Effect of Suddenly Turning on Interactions in the Luttinger Model
• Many-body physics with ultracold gases
• Statistical Mechanics of theXYModel. I
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Relaxation of a one-dimensional Mott insulator after an interaction quench
• Quench dynamics across quantum critical points
• Two soluble models of an antiferromagnetic chain

Cited by

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• Dissipation Induced Nonstationarity in a Quantum Gas
• Infinite-Time Average of Local Fields in an Integrable Quantum Field Theory After a Quantum Quench
• Quantum quenches in 1 + 1 dimensional conformal field theories
• Quantum Memory Assisted Probing of Dynamical Spin Correlations
• The quench action approach in finite integrable spin chains
• Relevance of the eigenstate thermalization hypothesis for thermal relaxation
• Stationary behaviour of observables after a quantum quench in the spin-1/2 Heisenberg XXZ chain