Work

Quantum diffusion in the Harper model under polychromatic time-perturbation

Year: 2025

Type: article

Abstract: Quantum dynamics of the Harper model with self-duality exhibits localized, diffusive, and ballistic states depending on the potential strength V. By adding time-dependent harmonic perturbations composed of M incommensurate frequencies, we show that all states of the Harper model transition to quantum diffusive states as the perturbation strength ε increases for M≥3. The transition schemes and diffusion behaviors are discussed in detail and the phase diagram in the (ε,V) parameter space is presented.

Source: Physical review. E

DOI: 10.1103/768k-ghzl

Authors: Hiroaki S. Yamada, Kensuke S. Ikeda

Institution: Ritsumeikan University

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Japan Society for the Promotion of Science

Awards: ergotic transition in finitely bounded small number quantum chaotic systems and its semiclassics, G4425005604