Dynamical preparation of Einstein-Podolsky-Rosen entanglement in two-well Bose-Einstein condensates

摘要: We propose to generate Einstein-Podolsky-Rosen (EPR) entanglement between groups of atoms in a two-well Bose-Einstein condensate using dynamical process similar that employed quantum optics. A local nonlinear $S$-wave scattering interaction has the effect creating spin squeezing at each well, while tunneling coupling, analogous beam splitter optics, introduces an interference these fields causes interwell entanglement. consider two internal modes well so can be detected by measuring reduction variances sums Schwinger observables. As is typical continuous variable (CV) entanglement, predicted increase with atom number. It becomes sufficiently strong higher numbers EPR paradox and steering nonlocality realized. The analytical approach and, for larger numbers, stochastic simulations based on truncated Wigner function approximation. find generally favorable, persists even enhanced presence realistic losses.