Ultracold atomic mode splitter for the entanglement of separated atomic samples

Abstract

We propose and analyze the use of a three-well Bose-Hubbard model for the creation of two spatially separated entangled atomic samples. Our three wells are in a linear configuration, with all atoms initially in the middle well, which gives some spatial separation of the two end wells. The evolution from the initial quantum state allows for the development of entanglement between the atomic modes in the two end wells. We show how the detected entanglement and the well occupations are time dependent. We propose a method for preserving the entanglement by turning off the different interactions when it reaches its first maximum. We analyze the system with both Fock and coherent initial states, showing that the violations of the chosen inequality exist only for initial Fock states and that the collisional nonlinearity degrades them. This system is a preliminary step towards producing entangled atomic samples that can be spatially separated using recently developed methods of potential manipulation and thus help close the locality loophole in tests of quantum mechanics.

Negative differential conductivity and quantum statistical effects in a three-site Bose-Hubbard model

“…Assuming a tight-binding approximation [16,17], we model the optical lattice system by a three-site Bose-Hubbard chain [9,10,[18][19][20], with one orbital per site. This model is justified when the interaction energy is much smaller than the singleparticle ground-state energy of the local trapping potential (see Ref.…”

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“…Following the approach taken by Milburn et al [14], while generalizing this to three and more wells [15][16][17][18][19], we can write the Hamiltonian for an n-well chain as…”

Quantum correlations in pumped and damped Bose-Hubbard dimers

“…The violation of this inequality is thus an indication of the inseparability of, and entanglement between, the two modes. As shown by Olsen [36][37][38], this is useful for systems where number conservation holds, in which case the Duan-Simon criterion may not detect inseparability. Although this is not the case here, it is still of interest to compare the predictions with the quadrature inequalities defined above.…”