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: 13827-1  to: 13827-10

More Information: We are grateful to Ajit Srivastava, Atac Imamoglu, and Germain Rousseaux for stimulating discussions. A.C.B. acknowledges financial support from the European Science Foundation through POLATOM Grant 4914. H.M.P., T.O., and I.C. were funded by European Research Council through the QGBE grant, by EU-FET proactive grant AQuS (Project No. 640800), and by Provincia Autonoma di Trento, partially through the project On silicon chip quantum optics for quantum computing and secure communications-SiQuro. H.M.P was also supported by the European Commission through the H2020 Marie Sklodowska-Curie Action, Individual Fellowship Grant No. 656093, SynOptic.
KeyWords: Topological Spin Transport; Edge States; Berry Phase; Bloch Oscillations; Gauge Potentials; Hall; Electrons; Bands; Dynamics
DOI: 10.1103/PhysRevA.93.013827

Citations: 7
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