Role of transverse excitations in the instability of Bose-Einstein condensates moving in optical lattices

2004/05/31 by M. Modugno, C. Tozzo, F. Dalfovo · 6 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Nonlinear Photonic Systems #Strong Light-Matter Interactions #cond-mat.soft

paper · pdf · doi:10.1103/physreva.70.043625

published as Phys. Rev. A 70, 043625 (2004) · 9 pages, 11 figures; typos corrected, references updated, new Figure 7

openalex publication_date 2004/10/22 · arxiv created 2004/11/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The occurrence of energetic and dynamical instabilities in a Bose-Einstein condensate moving in a one-dimensional (1D) optical lattice is analyzed by means of the Gross-Pitaevskii theory. Results of full 3D calculations are compared with those of an effective 1D model, the nonpolynomial Schr"odinger equation, pointing out the role played by transverse degrees of freedom. The instability thresholds are shown to be scarcely affected by transverse excitations, so that they can be accurately predicted by effective 1D models. Conversely, transverse excitations turn out to be important in characterizing the stability diagram and the occurrence of a complex radial dynamics above the threshold for dynamical instability. This analysis provides a realistic framework to discuss the dissipative dynamics observed in recent experiments.

Citations

• Superfluidity of Bose–Einstein condensate in an optical lattice: Landau–Zener tunnelling and dynamical instability
• Bose-Einstein condensates in 1D optical lattices

Cited by

• Instability of a superfluid Bose gas induced by a locked thermal gas in an optical lattice
• Instabilities of bosonic spin currents in optical lattices
• Damped Bloch oscillations of Bose–Einstein condensates in disordered potential gradients
• Excitations of Bose-Einstein condensates in a one-dimensional periodic potential
• Shock waves in quasi one-dimensional Bose-Einstein condensate
• Stability and collapse of localized solutions of the controlled three-dimensional Gross-Pitaevskii equation