Lieb Mode in a Quasi One-Dimensional Bose-Einstein Condensate of Atoms
arXiv:cond-mat/0202178 · doi:10.1103/PhysRevLett.89.070403
Abstract
We calculate the dispersion relation associated with a solitary wave in a quasi-one-dimensional Bose-Einstein condensate of atoms confined in a harmonic, cylindrical trap in the limit of weak and strong interactions. In both cases, the dispersion relation is linear for long wavelength excitations and terminates at the point where the group velocity vanishes. We also calculate the dispersion relation of sound waves in both limits of weak and strong coupling.
4 pages, 2 ps figures, RevTex
Cited by in corpus (28)
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- The Lieb-Liniger Model as a Limit of Dilute Bosons in Three Dimensions
- Correspondence between dark solitons and the type II excitations of Lieb-Liniger model
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- Quantum dark solitons in Bose gas confined in a hard wall box
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- Sinusoidal Excitations in Two Component Bose-Einstein Condensates
- Thermal solitons as revealed by static structure factor
- Solitary waves in mixtures of Bose gases confined in annular traps
- Bell Soliton in Ultra-cold Atomic Fermi Gas
- Kink-like Solitons in Quantum Droplet
- Solitary waves in elongated clouds of strongly-interacting bosons
- Supersolid behavior in one-dimensional self-trapped Bose-Einstein condensate
- Topology of Quantum Grey Soliton in Multi-Component Inhomogeneous Bose-Einstein Condensates
- Emergence of dark soliton signatures in a one-dimensional unpolarized attractive Fermi gas on a ring
- Density fluctuations in a quasi-one-dimensional Bose gas as observed in free expansion
- Measurement of one-dimensional matter-wave quantum breather
- Formation of Solitonic Bound State via Light-Matter Interaction
- Drag-induced dynamical formation of dark solitons in Bose mixture on a ring