Time evolution of correlations in strongly interacting fermions after a quantum quench

Details Time evolution of correlations in strongly interacting fermions after a quantum quench Time evolution of correlations in strongly interacting fermions after a quantum quench

2008-12-02

arxiv.org/abs/0812.0561v2

Phys. Rev. B 79, 155104 (2009)

Physics

Condensed Matter

Strongly Correlated Electrons

Published version; minor changes, references added

Scientific paper

10.1103/PhysRevB.79.155104

Using the adaptive time-dependent density matrix renormalization group, we study the time evolution of density correlations of interacting spinless fermions on a one-dimensional lattice after a sudden change in the interaction strength. Over a broad range of model parameters, the correlation function exhibits a characteristic light-cone-like time evolution representative of a ballistic transport of information. Such behavior is observed both when quenching an insulator into the metallic region and also when quenching within the insulating region. However, when a metallic state beyond the quantum critical point is quenched deep into the insulating regime, no indication for ballistic transport is observed. Instead, stable domain walls in the density correlations emerge during the time evolution, consistent with the predictions of the Kibble-Zurek mechanism.

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