Effective thermal dynamics following a quantum quench in a spin chain

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 ${\tau }_Q^{\varphi }$ from its asymptotic behavior. We show that the initial state determines ${\tau }_Q^{\varphi }$ only through an effective temperature set by its energy and the final Hamiltonian. Moreover, we observe that the dependence of ${\tau }_Q^{\varphi }$ on the effective temperature fairly agrees with that obtained in thermal equilibrium as a function of the equilibrium temperature.

4 pages, 4 figures. Published version

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• Many-Body Physics with Ultracold Gases
• Thermalization and its mechanism for generic isolated quantum systems
• Dephasing and the steady state in quantum many-particle systems
• Quench dynamics across quantum critical points
• Strongly correlated fermions after a quantum quench
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Cited by in corpus (4)

• Breakdown of thermalization in finite one-dimensional systems
• Dynamical phase transition in correlated fermionic lattice systems
• Quantum Quench from a Thermal Initial State
• Adiabatic dynamics in a spin-1 chain with uniaxial single-spin anisotropy