Steady-state Hall response and quantum geometry of driven-dissipative lattices
Authors: Ozawa T.
Autors Affiliation: Univ Trento, INO CNR BEC Ctr, I-38123 Povo, Italy and 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: 041108-1 to: 041108-6
KeyWords: Berry curvature; edge states; phase; photonics; transportDOI: 10.1103/PhysRevB.97.041108Citations: 12data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2020-07-05References taken from IsiWeb of Knowledge: (subscribers only)Connecting to view paper tab on IsiWeb: Click hereConnecting to view citations from IsiWeb: Click here