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Journal of Low Temperature Physics

, Volume 185, Issue 1–2, pp 59–78 | Cite as

Quantum Correlations of Few Dipolar Bosons in a Double-Well Trap

  • Michele Pizzardo
  • Giovanni Mazzarella
  • Luca Salasnich
Article

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 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 \(K_\mathrm{c}\). 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 \(|K_\mathrm{c}|\) destroy the cat-like state in favor of a delocalized atomic coherent state.

Keywords

Ultracold gases Trapped gases Dipolar bosonic gases Quantum tunneling Quantum correlations 

Notes

Acknowledgments

GM and LS acknowledge Ministero dell’Istruzione, della Ricerca, e dell’Università (MIUR) for the support provided by PRIN Grant No. 2010LLKJBX.

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Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  • Michele Pizzardo
    • 1
  • Giovanni Mazzarella
    • 1
    • 2
  • Luca Salasnich
    • 1
    • 2
    • 3
  1. 1.Dipartimento di Fisica e Astronomia “Galileo Galilei”Università di PadovaPaduaItaly
  2. 2.CNISM, Consorzio Interuniversitario per le Scienze Fisiche della MateriaPaduaItaly
  3. 3.Istituto Nazionale di Ottica (INO) del Consiglio Nazionale delle Ricerche (CNR), Sezione di Sesto FiorentinoSesto FiorentinoItaly

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