Dynamic phase diagram for the quantum phase model

Year: 2013

Authors: Buonsante P., Orefice L., Smerzi A.

Autors Affiliation: QSTAR and INO-CNR, Largo Fermi 2, 50125 Firenze, Italia; Dipartimento di Fisica, Università degli Studi di Bologna, Via Irnerio 46, 40126 Bologna, Italia

Abstract: We address the stability of superfluid currents in a system of interacting lattice bosons. We consider various Gutzwiller trial states for the quantum phase model which provides a good approximation for the Bose-Hubbard model in the limit of large interactions and boson populations. We thoroughly analyze the current-carrying stationary states of the dynamics ensuing from a Gaussian ansatz, and derive analytical results for the critical lines signaling their modulational and energetic instability, as well as the maximum of the carried current. We show that these analytical results are in good qualitative agreement with those obtained numerically in previous works on the Bose-Hubbard model, and in the present work for the quantum phase model.

Journal/Review: PHYSICAL REVIEW A

Volume: 87 (6)      Pages from: 63620-1  to: 63620-8

More Information: We thank E. Ercolessi for fruitful discussions. This work has been supported by the EU-STREP Project QIBEC. QSTAR is the MPQ, IIT, LENS, and UniFi joint center for Quantum Science and Technology in Arcetri.
KeyWords: Bose-einstein Condensate; Superfluid; Insulator; Instability
DOI: 10.1103/PhysRevA.87.063620

Citations: 3
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