Momentum-space Landau levels in driven-dissipative cavity arrays

Year: 2016

Authors: Berceanu AC., Price HM., Ozawa T., Carusotto I.

Autors Affiliation: ‎Univ Autonoma Madrid, Dept Fis Teor Mat Condensada, E-28049 Madrid, Spain;‎ Univ Autonoma Madrid, Condensed Matter Phys Ctr IFIMAC, E-28049 Madrid, Spain; Univ Trento, INO CNR BEC Ctr, I-38123 Povo, Italy;‎ Univ Trento, Dipartimento Fis, I-38123 Povo, Italy

Abstract: We theoretically study the driven-dissipative Harper-Hofstadter model on a two-dimensional square lattice in the presence of a weak harmonic trap. Without pumping and loss, the eigenstates of this system can be understood, in certain limits, as momentum-space toroidal Landau levels, where the Berry curvature, a geometrical property of an energy band, acts like a momentum-space magnetic field. We show that key features of these eigenstates can be observed in the steady state of the driven-dissipative system under a monochromatic coherent drive and present a realistic proposal for an optical experiment using state-of-the-art coupled cavity arrays. We discuss how such spectroscopic measurements may be used to probe effects associated both with the off-diagonal elements of the matrix-valued Berry connection and with the synthetic magnetic gauge.

Journal/Review: PHYSICAL REVIEW A

Volume: 93 (1)      Pages from: 013827-1  to: 013827-10

KeyWords: TOPOLOGICAL SPIN TRANSPORT; SYNTHETIC MAGNETIC-FIELD; EDGE STATES; BERRY PHASE; BLOCH OSCILLATIONS; GAUGE POTENTIALS; NEUTRAL ATOMS; HALL; ELECTRONS; BANDS
DOI: 10.1103/PhysRevA.93.013827

Citations: 7
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