Work

Characterizing the mixed eigenstates in kicked top model through the out-of-time-order correlator

Year: 2025

Type: article

Abstract: Generic systems are associated with a mixed classical phase space. The question of the properties of the eigenstates for these systems remains less known, although it plays a key role for understanding several important quantum phenomena such as thermalization, scarring, tunneling, and (de-)localization. In this work, by employing the kicked top model, we perform a detailed investigation of the dynamical signatures of the mixed eigenstates via the out-of-time-order correlator (OTOC). We show how the types of eigenstates get reflected in the short- and long-time behaviors of the OTOC and conjecture that the dynamics of the OTOC can be used as an indicator of the mixed eigenstates. Our findings further confirm the usefulness of the OTOC for studying quantum complex systems and also provide more insights into the characteristics of the mixed eigenstates.

Source: Physical review. E

DOI: 10.1103/sswt-lbgv

Authors: Qian Wang, Marko Robnik

Institutions: Zhejiang Normal University, University of Maribor

Language: English

Topic: Quantum chaos and dynamical systems

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Funder: Javna Agencija za Raziskovalno Dejavnost RS

Awards: Applied mathematics, theoretical physics and intelligent systems, Quantum localization in few and many-body chaotic systems