The orthogonality catastrophe(OC)of quantum many-body systems is an important phenomenon in condensed matter physics.Recently,an interesting relationship between the OC and the quantum speed limit(QSL)was shown(Fogart...The orthogonality catastrophe(OC)of quantum many-body systems is an important phenomenon in condensed matter physics.Recently,an interesting relationship between the OC and the quantum speed limit(QSL)was shown(Fogarty 2020 Phys.Rev.Lett.124110601).Inspired by the remarkable feature,we provide a quantitative version of the quantum average speed as another different method to investigate the measure of how it is close to the OC dynamics.We analyze the properties of an impurity qubit embedded into an isotropic Lipkin-Meshkov-Glick spin model,and show that the OC dynamics can also be characterized by the average speed of the evolution state.Furthermore,a similar behavior of the actual speed of quantum evolution and the theoretical maximal rate is shown which can provide an alternative speed-up protocol allowing us to understand some universal properties characterized by the QSL.展开更多
基金supported by the National Natural Science Foundation of China under Grant Nos.11875086 and11775019。
文摘The orthogonality catastrophe(OC)of quantum many-body systems is an important phenomenon in condensed matter physics.Recently,an interesting relationship between the OC and the quantum speed limit(QSL)was shown(Fogarty 2020 Phys.Rev.Lett.124110601).Inspired by the remarkable feature,we provide a quantitative version of the quantum average speed as another different method to investigate the measure of how it is close to the OC dynamics.We analyze the properties of an impurity qubit embedded into an isotropic Lipkin-Meshkov-Glick spin model,and show that the OC dynamics can also be characterized by the average speed of the evolution state.Furthermore,a similar behavior of the actual speed of quantum evolution and the theoretical maximal rate is shown which can provide an alternative speed-up protocol allowing us to understand some universal properties characterized by the QSL.
