Quantum signatures of the self-trapping transition in attractive lattice bosons

Year: 2010

Authors: Buonsante P., Penna V., Vezzani A.

Autors Affiliation: CNISM, u.d.r. Politecnico di Torino, Corso Duca degli Abruzzi 24, I-10129 Torino, Italy; Dipartimento di Fisica, Politecnico di Torino, Corso Duca degli Abruzzi 24, I-10129 Torino, Italy; Centro S3, CNR-Istituto di Nanoscienze, Via Campi 213A, I-41125 Modena Italy; Dipartimento di Fisica, Università degli Studi di Parma, V.le G.P. Usberti n.7/A, I-43100 Parma, Italy

Abstract: We consider the Bose-Hubbard model describing attractive bosonic particles hopping across the sites of a translation-invariant lattice and compare the relevant ground-state properties with those of the corresponding symmetry-breaking semiclassical nonlinear theory. The introduction of a suitable measure allows us to highlight many correspondences between the nonlinear theory and the inherently linear quantum theory, characterized by the well-known self-trapping phenomenon. In particular we demonstrate that the localization properties and bifurcation pattern of the semiclassical ground state can be clearly recognized at the quantum level. Our analysis highlights a finite-number effect.

Journal/Review: PHYSICAL REVIEW A

Volume: 82 (4)      Pages from: 043615  to: 043615

More Information: The work of P. B. has been partially supported by the CNISM project \”Quantum Phase Transitions, Nonlocal Quantum Correlations and Nonlinear Dynamics in Ultracold Lattice Boson Systems\”.
DOI: 10.1103/PhysRevA.82.043615

Citations: 29
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