Bogoliubov dispersion relation for a "photon fluid": Is this a superfluid?
arXiv:quant-ph/9908060 · doi:10.1016/S0030-4018(99)00615-X
Abstract
We discuss the possibility that photons, which are bosons, can form a 2D superfluid due to Bose-Einstein condensation inside a nonlinear Fabry-Perot cavity filled with atoms in their ground states. A "photon fluid" forms inside the cavity as a result of multiple photon-photon collisions mediated by the atoms during a cavity ring-down time. The effective mass and chemical potential for a photon inside this fluid are nonvanishing. This implies the existence of a Bogoliubov dispersion relation for the low-lying elementary excitations of the photon fluid, and in particular, that sound waves exist for long-wavelength, low-frequency disturbances of this fluid. Possible experiments to test for the superfluidity of the photon fluid based on the Landau critical-velocity criterion will be discussed.
11 pages, 4 figures, Scully Festschrift paper to appear in Optics Communications
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