Phase engineering of controlled entangled number states in a single component Bose-Einstein condensate in a double well
arXiv:cond-mat/0307453 · doi:10.1088/0953-4075/36/17/102
Abstract
We propose a model for the creation of entangled number states (Schrödinger cat states) of a Bose-Einstein condensate in a double well through simple phase engineering. We show that a -phase imprinted condensate in a double-well evolves, with a simultaneous change of barrier height, to number states with well defined and controlled entanglement. The cat state generation is understood in terms of the underlying classical phase space dynamics of a -phase displaced coherent state put at the hyperbolic fixed point of the separatrix of a physical pendulum. The extremity and sharpness of the final cat state is determined by the initial barrier height and the rate at which it is ramped during the evolution.
11 pages, 5 figures, Submitted to J. Phys. B (letter to the editor)
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