Dark soliton states of Bose-Einstein condensates in anisotropic traps,

By D. Feder, M. Pindzola, L. Collins, B. Schneider, C. Clark. 2000

151 citations recorded by the source corpus.

Dark soliton states of Bose-Einstein condensates in harmonic traps are studied both analytically and computationally by the direct solution of the Gross-Pitaevskii equation in three dimensions. The ground and self-consistent excited states are found numerically by relaxation in imaginary time. The energy of a stationary soliton in a harmonic trap is shown to be independent of density and geometry for large numbers of atoms. Large-amplitude field modulation at a frequency resonant with the energy of a dark soliton is found to give rise to a state with multiple vortices. The Bogoliubov excitation spectrum of the soliton state contains complex frequencies, which disappear for sufficiently small numbers of atoms or large transverse confinement. The relationship between these complex modes and the snake instability is investigated numerically by propagation in real time.

Subfields: Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/8402b87208193621956cb11126508456484afd60

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In Atomic and Molecular Physics, and Optics

Citations in the corpus

Two-dimensional vortex quantum droplets (2018, methodology): “(7) with ﬁxed N and S were obtained by means of the imaginary-time-integration method (which may work for vortex conﬁgurations as well as for ground states [58,59]), applied to Eq.”
(INVITED) Vortex solitons: Old results and new perspectives (2019, unknown): “[237] D.”
Rotating trapped Bose-Einstein condensates (2008, background): “Such dynamically unstable behavior occurs in a condensate with a doubly quantized vortex (Pu et al., 1999; Shin et al., 2004), in certain onedimensional solitons (Feder et al., 2000; Fedichev et al., 1999; Muryshev et al., 1999), and in one-dimensional optical lattices (Wu and Niu, 2001).”
Oscillations and interactions of dark and dark bright solitons in Bose Einstein condensates (2008, background): “Dynamical [16, 17, 18, 19, 20, 21, 22, 23] and thermodynamical [24, 25, 26] instabilities as well as collisional properties [27, 28] have been analyzed theoretically in great detail.”