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Stationary Behaviour of Observables after a Quantum Quench

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I consider the non-equilibrium time evolution (quantum quench) of a class of pure states under the Hamiltonian of an integrable model. At late times after the quench, the expectation values of local operators approach time-independent values that can be described in terms of a stationary state. I discuss the essential features and the most common representations of that state, and present some recent results on global quenches in the spin-1/2 Heisenberg XXZ chain. Finally, I go into the issue of pre-relaxation in integrable models, where the leading contribution to the relaxation process of local observables is captured by a time-dependent generalised Gibbs ensemble.

This talk is part of the Theory of Condensed Matter series.

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