Entanglement in quenched extended Su-Schrieffer-Heeger model with anomalous dynamical quantum phase transitions

TL;DR

This paper investigates entanglement behavior during anomalous dynamical quantum phase transitions in a quenched extended SSH model with long-range hoppings, revealing unique entanglement features and phase classifications.

Contribution

It uncovers the entanglement dynamics near anomalous DQPTs and classifies phases in the extended SSH model, advancing understanding of topological systems with long-range interactions.

Findings

Entanglement peaks and dips around anomalous DQPTs.

Identification of phase classes based on entanglement evolution.

Distinct entanglement features for quenches within and across phase classes.

Abstract

Research on topological models unveils fascinating physics, especially in the realm of dynamical quantum phase transitions (DQPTs). However, the understanding of entanglement structures and properties near DQPT in models with longer-range hoppings is far from complete. In this work, we study DQPTs in the quenched extended Su-Schrieffer-Heeger (SSH) model. Anomalous DQPTs, where the number of critical momenta exceeds the winding number differences between the pre-quench and post-quench phases, are observed. We find that the entanglement exhibits local maximum (minimum) around the anomalous DQPTs, in line with the level crossings (separations) around the middle of the correlation matrix spectrum. We further categorize the phases in the equilibrium model into two classes and distinctive features in the time evolution of the entanglement involving quenches within and across the two classes are identified. The findings pave the way to a better understanding of topological models with longer-range hoppings in the out-of-equilibrium regime.