Detecting quantum chaos through eigenstate deformations
Seminar
QUEST Center event
Yes
Speaker
Anatoli Polkovnikov
Date
21/10/2021 - 20:00 - 19:00Add to Calendar
2021-10-21 19:00:00
2021-10-21 20:00:00
Detecting quantum chaos through eigenstate deformations
In this talk I will show how quantum geometric tensor or fidelity susceptibility can be used as a sensitive probe of quantum chaos. In particular, I will show that using this probe one can detect very small integrability breaking perturbations. I will also discuss that ergodic and integrable regimes are generically separated by an intermediate phase characterized by the maximum possible sensitivity of eigenstates to small perturbations and by exponentially slow in the system size dynamics. I will apply this probe to various clean and disordered models and in particular show a strong evidence that many-body localization is unstable in the thermodynamic limit.
recording
https://zoom.us/j/99663263719
Department of Physics
physics.dept@mail.biu.ac.il
Asia/Jerusalem
public
Place
https://zoom.us/j/99663263719
Abstract
In this talk I will show how quantum geometric tensor or fidelity susceptibility can be used as a sensitive probe of quantum chaos. In particular, I will show that using this probe one can detect very small integrability breaking perturbations. I will also discuss that ergodic and integrable regimes are generically separated by an intermediate phase characterized by the maximum possible sensitivity of eigenstates to small perturbations and by exponentially slow in the system size dynamics. I will apply this probe to various clean and disordered models and in particular show a strong evidence that many-body localization is unstable in the thermodynamic limit.
Last Updated Date : 21/10/2021
