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 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.


Volume: 97 (4)      Pages from: 041108-1  to: 041108-6

KeyWords: Berry curvature; edge states; phase; photonics; transport
DOI: 10.1103/PhysRevB.97.041108

Citations: 21
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