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

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Hauptverfasser: Wong, Cheuk Yiu, Hui, Tsz Hin, Sacramento, P. D., Yu, Wing Chi
Format: Preprint
Veröffentlicht: 2024
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author Wong, Cheuk Yiu
Hui, Tsz Hin
Sacramento, P. D.
Yu, Wing Chi
author_facet Wong, Cheuk Yiu
Hui, Tsz Hin
Sacramento, P. D.
Yu, Wing Chi
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2407_15331
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Entanglement in quenched extended Su-Schrieffer-Heeger model with anomalous dynamical quantum phase transitions
Wong, Cheuk Yiu
Hui, Tsz Hin
Sacramento, P. D.
Yu, Wing Chi
Strongly Correlated Electrons
Statistical Mechanics
Quantum Physics
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.
title Entanglement in quenched extended Su-Schrieffer-Heeger model with anomalous dynamical quantum phase transitions
topic Strongly Correlated Electrons
Statistical Mechanics
Quantum Physics
url https://arxiv.org/abs/2407.15331