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Phase engineering of controlled entangled number states in a single component Bose–Einstein condensate in a double well

2003; IOP Publishing; Volume: 36; Issue: 17 Linguagem: Inglês

10.1088/0953-4075/36/17/102

1361-6455

Khan W. Mahmud, Heidi Perry, William P. Reinhardt,

Quantum Mechanics and Applications

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 $π$-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 $π$-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.