2023/02/22 by Parvathy S Nair, Nair, Parvathy S, Dintomon Joy +3
Computer Science · Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Nonlinear Dynamics and Pattern Formation #Nonlinear Photonic Systems #Other Condensed Matter (cond-mat.other) #Quantum Gases (cond-mat.quant-gas) #Quantum chaos and dynamical systems
paper · pdf · doi:10.48550/arxiv.2302.14053
openalex publication_date 2023/02/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study localisation transition in a class of quasi-periodic systems that has two competing periodic scales. We show that such class of systems show a re-entrant localisation transition where the energy scale of transition is set by the periodicities of these two scales. Furthermore we show dynamical properties in these systems, exhibits various kinds critical dynamics including sub-diffusive, super-diffusive and diffusive spread of an initially localised wave-packet. Finally we show that these characteristics of quasi-periodic systems with two periodic scales can be realised within the regime of current experiments.