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arXiv · 1609.07387

Spreading of correlations in a quenched repulsive and attractive one dimensional lattice system

L. Barbiero·L. Dell'Anna
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Abstract

We study the real time evolution of the correlation functions in a globally quenched interacting one dimensional lattice system by means of time adaptive density matrix renormalization group. We find a clear light-cone behavior quenching the repulsive interaction from the gapped density wave regime. The spreading velocity increases with the final values of the interaction and then saturates at a certain finite value. In the case of a Luttinger liquid phase as the initial state, for strong repulsive interaction quenches, a more complex dynamics occurs as a result of bound state formations. From the other side in the attractive regime, depending on where connected correlation functions are measured, one can observe a delay in the starting time evolution and a coexistence of ballistic and localized signals.

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BibTeXRIS

L. Barbiero, L. Dell'Anna. 2016-09-23. Spreading of correlations in a quenched repulsive and attractive one dimensional lattice system. https://doi.org/10.1103/physrevb.96.064303

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