Work

Self-duality triggered dynamical transition

Year: 2020

Type: article

Abstract: A basic result on the dynamics of spinless quantum systems is that the Maryland model exhibits dynamical localization in any dimension. Here we implement mathematical spectral theory and numerical experiments to show that this result does not hold when the two-dimensional Maryland model is endowed with spin 1/2---hereafter dubbed spin-Maryland (SM) model. Instead, in a family of SM models, tuning the (effective) Planck constant drives dynamical localization-delocalization transitions of topological nature. These transitions are triggered by the self-duality, a symmetry generated by some transformation in the parameter---the inverse Planck constant---space. This provides significant insights into new dynamical phenomena such as what occur in the spinful quantum kicked rotor.

Source: Physical review. B./Physical review. B

DOI: 10.1103/physrevb.102.045433

Authors: Italo Guarneri, Chushun Tian, Jiao Wang

Institutions: University of Insubria, Chinese Academy of Sciences, Institute of Theoretical Physics, Xiamen University

Language: English

Topic: Quantum chaos and dynamical systems

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funder: National Natural Science Foundation of China

Awards: G212822626, 小量子系统的动力学研究, G3615741256