Article,
Phase engineering of controlled entangled number states in a single component Bose–Einstein condensate in a double well
Journal of Physics B: Atomic, Molecular and Optical Physics, 36 (17): L265+ (Sep 14, 2003)
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 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.
