Physics – Condensed Matter
Scientific paper
2003-07-18
J. Phys. B. 36, L265-L272 (2003)
Physics
Condensed Matter
11 pages, 5 figures, Submitted to J. Phys. B (letter to the editor)
Scientific paper
10.1088/0953-4075/36/17/102
We propose a model for the creation of entangled number states (Schr\"odinger cat states) of a Bose-Einstein condensate in a double well through simple phase engineering. We show that a $\pi$-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 $\pi$-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.
Mahmud Khan W.
Perry Heidi
Reinhardt William P.
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