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.

Spreading of correlations in a quenched repulsive and attractive one-dimensional integrable system / Barbiero, L.; Dell'Anna, L.. - In: PHYSICAL REVIEW. B. - ISSN 2469-9950. - ELETTRONICO. - 96:6(2017). [10.1103/PhysRevB.96.064303]

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

Barbiero L.;
2017

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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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2959091