Discrete solitons and breathers with dilute Bose-Einstein condensates.

By A. Trombettoni, A. Materia, International School for Advanced Studies, Trieste, Italy. Physical Review Letters, 2001

671 citations recorded by the source corpus.

We study the dynamical phase diagram of a dilute Bose-Einstein condensate (BEC) trapped in a periodic potential. The dynamics is governed by a discrete nonlinear Schrödinger equation: intrinsically localized excitations, including discrete solitons and breathers, can be created even if the BEC's interatomic potential is repulsive. Furthermore, we analyze the Anderson-Kasevich experiment [Science 282, 1686 (1998)], pointing out that mean field effects lead to a coherent destruction of the interwell Bloch oscillations.

Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/5a6a9231c1026b86e36227c249f33a78bf1df08b

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In Atomic and Molecular Physics, and Optics

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Citations in the corpus

Maximally-localized Wannier Functions: Theory and Applications (2011, neutral): “(158) to nearest-neighbors only, and the second term to on-site (α = β = γ = η) terms within a single band (n = i = j = k) results in the usual tight-binding description (Chiofalo et al., 2000; Trombettoni and Smerzi, 2001), i d dt cnα = cnα̃n0+̃n1(cn,α−1+cn,α+1)+U αααα nnnn |cnα| 2 cnα.”
Spatial optical solitons in waveguide arrays (2003, background): “The analogous concepts appear in other contexts, such as the study of the nonlinear dynamics of the Bose–Einstein condensates in optical lattices [16].”
Phase space representation of quantum dynamics (2009, neutral): “(66)) the equation above reduces to the familiar discrete Gross-Pitaevskii equation (Polkovnikov et al., 2002; Trombettoni and Smerzi, 2001) i~ ∂ψj ∂t = −J ∑ l∈Oj ψl + Ṽjψj + ∑ k Ujk|ψk|2ψj , (69) where Ṽij = Vij + 1 2 δij ( Uij + ∑ k Uik ) .”
Physics with coherent matter waves (2004, background): “Further progress in this area is expected from the realisation of so called discrete solitons in optical lattices, which are an actual topic of theoretical work [213, 214, 215, 216, 217] as well as mixed species solitons.”
Dynamics of Bose-Einstein condensates in optical lattices (2006, methodology): “The motion of a wave packet in an additional harmonic potential has been discussed in the weak potential limit Anker et al., 2004 and in the deep potential limit Cataliotti et al., 2001; Trombettoni and Smerzi, 2001; Krämer et al., 2002 .”