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Fast and optimal generation of entanglement in bosonic Josephson junctions

Giacomo Sorelli, Manuel Gessner, Augusto Smerzi, Luca Pezzè

DOI 10.1103/PhysRevA.99.022329 · Physical Review A

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Abstract

We use an exact quantum phase model to study the dynamical generation of particle entanglement in a bosonic Josephson junction composed by two coupled and interacting Bose–Einstein condensates. Using analytical arguments, we show that linear coupling can accelerate the creation of entanglement with respect to the well-known one-axis twisting model where coupling is absent. Furthermore, with a numerical analysis of optimal control schemes, we identify the optimal parameters for the fast generation of metrologically useful entanglement on short timescales: the optimal evolution is generated for a specific ratio between the coupling and the interaction strength.

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