“…Trapping of neutral atoms in optical lattices [1] provides an effective and powerful means for controlling the properties of Bose-Einstein condensates (BECs), as confirmed by a number of the recent experiments (see, e.g., Refs. [2,3,4,5,6,7,8]).…”
We analyze the existence and stability of spatially extended (Bloch-type) and localized states of a Bose-Einstein condensate loaded into an optical lattice. In the framework of the Gross-Pitaevskii equation with a periodic potential, we study the band-gap structure of the matter-wave spectrum in both the linear and nonlinear regimes. We demonstrate the existence of families of spatially localized matter-wave gap solitons, and analyze their stability in different band gaps, for both repulsive and attractive atomic interactions.
“…Trapping of neutral atoms in optical lattices [1] provides an effective and powerful means for controlling the properties of Bose-Einstein condensates (BECs), as confirmed by a number of the recent experiments (see, e.g., Refs. [2,3,4,5,6,7,8]).…”
We analyze the existence and stability of spatially extended (Bloch-type) and localized states of a Bose-Einstein condensate loaded into an optical lattice. In the framework of the Gross-Pitaevskii equation with a periodic potential, we study the band-gap structure of the matter-wave spectrum in both the linear and nonlinear regimes. We demonstrate the existence of families of spatially localized matter-wave gap solitons, and analyze their stability in different band gaps, for both repulsive and attractive atomic interactions.
“…В настоящее время осуществлены два типа экспериментов по коллима-ции атомных пучков [9] с использованием радиационной силы (1) [26] и запаздывающей силы [27]. Каждая из схем имеет свои преимущества и недостатки.…”
“…3 -A strong laser standing wave detuned blue from resonance (ωL > ωA) creates a periodic potential with minima at the nodes and maxima at the antinodes. In the experiment realized in Paris [10], a well collimated atomic beam is crossed at right angles by this strong standing wave (Fig. 3(a)).…”
Section: Optical Trapsmentioning
confidence: 99%
“…This trap does not therefore answer the old and intringuing question : is it possible to trap atoms with light on the optical wavelength scale? The ans wer is not yet known, but a group led by C. Cohen-Tannoudji in Paris has realized a one-dimension trap of this kind [10]. It uses again the potential (1) provided now by an intense laser standing wave.…”
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