Momentum-space Landau levels in driven-dissipative cavity arrays

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Authors

Colleges, School and Institutes

External organisations

  • Universidad Autónoma de Madrid
  • CNR-INFM BEC Center

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.

Details

Original languageEnglish
Article number013827
JournalPhysical Review A
Volume93
Issue number1
Publication statusPublished - 14 Jan 2016