Nonlinear phase shifts of light trapped in a two-component Bose-Einstein condensate
arXiv:1404.1399 · doi:10.1103/PhysRevA.89.063823
Abstract
We investigate a method for generating nonlinear phase shifts on superpositions of photon number states. The light is stored in a Bose-Einstein condensate via electromagnetically-induced transparency memory techniques. The atomic collisions are exploited to generate a nonlinear phase shift of the stored state. The stored light is then revived with the nonlinear phase shift imprinted upon it. We show that this method can be used as a nonlinear-sign gate in the regime where the Thomas-Fermi and mean-field approximations are valid. We test these approximations using realistic parameters and find that these approximations pass the standard tests for validity in a single-component condensate. However, for the two-component condensates considered here, we find that these conditions are insufficiently strict. We find a stronger set of conditions and show for the same set of parameters that the approximations are invalid.
arXiv comment8 pages, 4 figures
References in corpus (11)
- Theory of Bose-Einstein condensation in trapped gases
- Dark-State Polaritons in Electromagnetically Induced Transparency
- Continuous-variable optical quantum state tomography
- Phase separation of Bose-Einstein condensates
- Order Parameter at the Boundary of a Trapped Bose Gas
- Creation of long-term coherent optical memory via controlled nonlinear interactions in Bose-Einstein condensates
- Variational Thomas-Fermi Theory of a Nonuniform Bose Condensate at Zero Temperature
- Storing and processing optical information with ultra-slow light in Bose-Einstein condensates
- Beyond the Thomas-Fermi approximation for a trapped condensed Bose-Einstein gas
- Photon-photon gates in Bose-Einstein condensates
- Coherent Logic Gate for Light Pulses based on Storage in a Bose-Einstein Condensate