Mean Field Theory of Resonant Matter Wave Amplification

上妻 幹男, Mikio Kozuma

Mikio Kozuma

S. Inouye, Tilman Pfau, Subhadeep Gupta +4 more

Tri Cao Doan, Huang, Yuping, Steve F. Wolf +1 more

We develop a Green's function based mean-field theory for coherent mixing of matter- and light-waves. To demonstrate the utility of this approach, we analyse a co-propagating Raman matter-wave amplifier. We find that for a given laser intensity, a significantly faster amplification process can be achieved employing resonant rather than off-resonance driving. The ratio of the matter-wave gain to atom loss-rate due to spontaneous emission is given by the optical depth of the sample, and is the same both on- and off-resonance. Furthermore, we show that for short-times, the single-mode approximation for the matter-waves gives exact agreement with the full spatial dynamics. For long times, the off-resonant case shows suppressed amplification due to a spatially inhomogenous AC Stark shift associated with laser depletion. This suppression is absent on-resonance, where the AC Stark shift is absent.

Peter Schlagheck

Evgenii Dmitrievich Trifonov

The solution of the Maxwell-Schrodinger equations describing amplification of backwards matter waves the in process of light scattering from a Bose-Einstein condensate of dilute gas is presented. The results obtained in the mean field approximation explain the main features of the effects observed in [1].