Quantum correlations of few dipolar bosons in a double-well trap

Abstract

We consider $N$ interacting dipolar bosonic atoms at zero temperature in a double-well potential. This system is described by the two-space-mode extended Bose-Hubbard (EBH) Hamiltonian which includes (in addition to the familiar BH terms) the nearest-neighbor interaction, correlated hopping and bosonic-pair hopping. For systems with $N=2$ and $N=3$ particles we calculate analytically both the ground state and the Fisher information, the coherence visibility, and the entanglement entropy that characterize the correlations of the lowest energy state. The structure of the ground state crucially depends on the correlated hopping $K_c$. On one hand we find that this process makes possible the occurrence of Schrödinger-cat states even if the onsite interatomic attraction is not strong enough to guarantee the formation of such states. On the other hand, in the presence of a strong onsite attraction, sufficiently large values of $|K_c|$ destroys the cat-like state in favor of a delocalized atomic coherent state.

21 pages, 10 figures. This paper has been accepted for publication in a festschrift issue of Journal of Low Temperature Physics in honor of Prof. Flavio Toigo on the occasion of his 70th birthday. The paper extends our previous results, which can be found in arXiv:1410.5321, obtained in the absence of dipolar interaction

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Cited by in corpus (5)

• Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
• Correlations of strongly interacting ultracold dipolar bosons in optical lattices
• Quantum correlations of few dipolar bosons in a double-well trap
• Dipolar particles in a double-trap confinement: Response to tilting the dipolar orientation
• Finite-temperature entanglement and coherence in asymmetric bosonic Josephson junctions