Theory for Bose-Einstein condensation of light in nanofabricated semiconductor microcavities

A.-W. de Leeuw, E. C. I. van der Wurff, R. A. Duine, D. van Oosten, and H. T. C. Stoof
Phys. Rev. A 94, 013615 – Published 22 July 2016

Abstract

We construct a theory for Bose-Einstein condensation of light in nanofabricated semiconductor microcavities. We model the semiconductor by one conduction and one valence band which consist of electrons and holes that interact via a Coulomb interaction. Moreover, we incorporate screening effects by using a contact interaction with the scattering length for a Yukawa potential and describe in this manner the crossover from exciton gas to electron-hole plasma as we increase the excitation level of the semiconductor. We then show that the dynamics of the light in the microcavities is damped due to the coupling to the semiconductor. Furthermore, we demonstrate that on the electron-hole plasma side of the crossover, which is relevant for the Bose-Einstein condensation of light, this damping can be described by a single dimensionless damping parameter that depends on the external pumping. Hereafter, we propose to probe the superfluidity of light in these nanofabricated semiconductor microcavities by making use of the differences in the response in the normal or superfluid phase to a sudden rotation of the trap. In particular, we determine frequencies and damping of the scissors modes that are excited in this manner. Moreover, we show that a distinct signature of the dynamical Casimir effect can be observed in the density-density correlations of the excited light fluid.

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  • Received 15 April 2016
  • Revised 10 June 2016

DOI:https://doi.org/10.1103/PhysRevA.94.013615

©2016 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & Optical

Authors & Affiliations

A.-W. de Leeuw1,*, E. C. I. van der Wurff1, R. A. Duine1, D. van Oosten2, and H. T. C. Stoof1

  • 1Institute for Theoretical Physics and Center for Extreme Matter and Emergent Phenomena, Utrecht University, Princetonplein 5, 3584 CC Utrecht, The Netherlands
  • 2Debye Institute for Nanomaterials Science and Center for Extreme Matter and Emergent Phenomena, Utrecht University, Princetonplein 5, 3584 CC Utrecht, The Netherlands

  • *A.deLeeuw1@uu.nl

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Vol. 94, Iss. 1 — July 2016

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