Abstract
We consider a quantum theory of elastic light scattering from a macroscopic atomic sample existing in the Bose-Einstein condensate (BEC) phase. Following the second quantized formalism we introduce a set of coupled and closed diagram equations for the polariton propagator contributing to the T -matrix and scattering amplitude. Our approach allows us to follow important density corrections to the quasi-energy structure caused by static interaction and radiation losses associated with incoherent scattering in the case of near resonance excitation.
Highlights
Light scattering on complex quantum systems is a potentially interesting process for developing various quantum interface protocols organized between the light and matter subsystems
The coherent joint propagation of light and matter wave through a degenerate quantum gas existing in the Bose-Einstein condensate (BEC) phase had been predicted in [1] even before such a matter state had been created in the laboratory
After the first successful experimental realization of BEC in alkali-metal systems in [2, 3], evident signatures of cooperative dynamics in light scattering on the condensate have been observed in experiments [4]-[5]
Summary
Light scattering on complex quantum systems is a potentially interesting process for developing various quantum interface protocols organized between the light and matter subsystems. The coherent joint propagation of light and matter wave through a degenerate quantum gas existing in the Bose-Einstein condensate (BEC) phase had been predicted in [1] even before such a matter state had been created in the laboratory. In [9]-[11] a semiclassical approach for light scattering from a BEC considered as an ideal atomic gas have been applied to describe the basic results of experiment [4, 6].
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