Localisation transition in the driven Aubry-Andre model
Anno: 2018
Autori: Romito D., Lobo C., Recati A.
Affiliazione autori: Univ Southampton, Southampton, Hants, England; Univ Trento, Trento, Italy.
Abstract: A recent experiment by Bordia et al. [P. Bordia et al., Nat. Phys. 13, 5 (2017)] has demonstrated that periodically modulating the potential of a localised many-body quantum system described by the Aubry-Andre Hamiltonian with on-site interactions can lead to a many-body localisation-delocalisation transition, provided the modulation amplitude is big enough. Here, we consider the noninteracting counterpart of that model in order to explore its phase diagram as a function of the strength of the disordered potential, the driving frequency and its amplitude. We will first of all mimic the experimental procedure of Bordia et al. and use the even-odd sites imbalance as a parameter in order to discern between different phases. Then we compute the Floquet eigenstates and relate the localisation-delocalisation transition to their IPR. Both these approaches show that the delocalisation transition occurs for frequencies that are low compared to the bandwidth of the time independent model. Moreover, in agreement with [P. Bordia et al., Nat. Phys. 13, 5 (2017)] there is an amplitude threshold below which no delocalisation transition occurs. We estimate both the critical values for the frequency and the amplitude.
Giornale/Rivista: EUROPEAN PHYSICAL JOURNAL D
Volume: 72 (8) Da Pagina: 135-1 A: 135-8
Maggiori informazioni: This project was supported by the University of Southampton as host of the Vice-Chancellor Fellowship scheme. D.R. would like to thank the Ludwig Maximilian University (Munich) for the hospitality during the writing of the thesis that lead to this work.Parole chiavi: Metal-insulator-transition; ParticleDOI: 10.1140/epjd/e2018-90081-3Citazioni: 4dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2025-05-18Riferimenti tratti da Isi Web of Knowledge: (solo abbonati)
