Scattering of dark-state polaritons in optical lattices and quantum phase gate for photons
arXiv:quant-ph/0402142 · doi:10.1103/PhysRevA.69.061801
Abstract
We discuss the quasi 1-D scattering of two counter-propagating, dark-state polaritons (DSP), each containing a single excitation. DSPs are formed from photons in media with electromagnetically induced transparency and are associated with ultra-slow group velocities. State-dependent elastic collisions of atoms at the same lattice site lead to a nonlinear interaction. It is shown that the scattering process in a deep optical lattice filled by cold atoms generates a large and homogeneous conditional phase shift between two individual polaritons. The latter has potential applications for a photonic phase gate. The quasi 1-D scattering problem is solved analytically and the influence of degrading processes such as dephasing due to collisions with ground-state atoms is discussed.
arXiv comment4 pages, 2 figures
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