Steady-state Hall response and quantum geometry of driven-dissipative lattices

Anno: 2018

Autori: Ozawa T.

Affiliazione autori: Univ Trento, INO CNR BEC Ctr, I-38123 Povo, Italy; Univ Trento, Dipartimento Fis, I-38123 Povo, Italy.

Abstract: We study the effects of the quantum geometric tensor, i.e., the Berry curvature and the Fubini-Study metric, on the steady state of driven-dissipative bosonic lattices. We show that the quantum-Hall-type response of the steady-state wave function in the presence of an external potential gradient depends on all the components of the quantum geometric tensor. Looking at this steady-state Hall response, one can map out the full quantum geometric tensor of a sufficiently flat band in momentum space using a driving field localized in momentum space. We use the two-dimensional Lieb lattice as an example and numerically demonstrate how to measure the quantum geometric tensor.

Giornale/Rivista: PHYSICAL REVIEW B

Volume: 97 (4)      Da Pagina: 41108-1  A: 41108-6

Maggiori informazioni: The author is grateful to I. Carusotto and H. Price for frequent discussions since the early stage of the work, and G. Salerno for careful reading of the manuscript. The author also thanks O. Bleu, A. Srivastava, V. Albert, and F. Piechon for stimulating discussions and exchanges. This work was funded by the EU-FET Proactive grant AQuS, Project No. 640800.
Parole chiavi: Berry Curvature; Edge States; Phase; Photonics; Transport; Lines
DOI: 10.1103/PhysRevB.97.041108

Citazioni: 30
dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2025-05-04
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