Geometrical Rabi oscillations and Landau-Zener transitions in non-Abelian systems
Anno: 2021
Autori: Weisbrich H., Rastelli G., Belzig W.
Affiliazione autori: Univ Konstanz, Fachbereich Phys, D-78457 Constance, Germany; Univ Trento, INO CNR BEC Ctr, I-38123 Povo, Italy; Univ Trento, Dipartimento Fis, I-38123 Povo, Italy.
Abstract: Topological phases of matter became a new standard to classify quantum systems in many cases, yet key quantities like the quantum geometric tensor providing local information about topological properties are still experimentally hard to access. In non-Abelian systems this accessibility to geometric properties can be even more restrictive due to the degeneracy of the states. We propose universal protocols to determine quantum geometric properties in non-Abelian systems. First, we show that for a weak resonant driving of the local parameters the coherent Rabi oscillations are related to the quantum geometric tensor. Second, we derive that in a Landau-Zener-like transition the final probability of an avoided energy crossing is proportional to elements of the non-Abelian quantum geometric tensor. Our schemes suggest a way to prepare eigenstates of the quantum metric, a task that is difficult otherwise in a degenerate subspace.
Giornale/Rivista: PHYSICAL REVIEW RESEARCH
Volume: 3 (3) Da Pagina: 033122-1 A: 033122-7
Maggiori informazioni: The authors acknowledge useful discussions with Guido Burkard and funding provided by Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) Grant No. RA 2810/1 and SFB 1432-Project No. 425217212.Parole chiavi: quantum topological systems, Landau-Zener transitionsDOI: 10.1103/PhysRevResearch.3.033122Citazioni: 6dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2025-05-11Riferimenti tratti da Isi Web of Knowledge: (solo abbonati) Link per visualizzare la scheda su IsiWeb: Clicca quiLink per visualizzare la citazioni su IsiWeb: Clicca qui
