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

Year: 2018

Authors: Ozawa T.

Autors Affiliation: 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.

Journal/Review: PHYSICAL REVIEW B

Volume: 97 (4)      Pages from: 41108-1  to: 41108-6

More Information: 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.
KeyWords: Berry Curvature; Edge States; Phase; Photonics; Transport; Lines
DOI: 10.1103/PhysRevB.97.041108

ImpactFactor: 3.736
Citations: 28
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