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Effective thermal dynamics following a quantum quench in a spin chain · Around

2008

Effective thermal dynamics following a quantum quench in a spin chain

Rossini, Davide, Silva, Alessandro, Mussardo, Giuseppe et al.

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

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Given the bandwidth of the excitation W = 2 J ( | 1 + Γ | − | 1 − Γ | ) W=2J(|1+\Gamma|-|1-\Gamma|) we assume T , T eff ≪ W T,T_{\rm eff}\ll W

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