Quantum Phases of Attractive Matter Waves in a Toroidal Trap
arXiv:cond-mat/0511088 · doi:10.1103/PhysRevA.72.063612
Abstract
Investigating the quantum phase transition in a ring from a uniform attractive Bose-Einstein condensate to a localized bright soliton we find that the soliton undergoes transverse collapse at a critical interaction strength, which depends on the ring dimensions. In addition, we predict the existence of other soliton configurations with many peaks, showing that they have a limited stability domain. Finally, we show that the phase diagram displays several new features when the toroidal trap is set in rotation.
arXiv comment6 pages, 5 figures. To be published in Phys. Rev. A
References in corpus (17)
- Formation and Propagation of Matter Wave Soliton Trains
- Formation of a Matter-Wave Bright Soliton
- Effective wave-equations for the dynamics of cigar-shaped and disc-shaped Bose condensates
- Bose-Einstein condensation in a circular waveguide
- Modulational Instability and Complex Dynamics of Confined Matter-Wave Solitons
- Spontaneous soliton formation and modulational instability in Bose-Einstein condensates
- Quantum phase transition in one-dimensional Bose-Einstein condensates with attractive interactions
- Dynamics of a matter-wave bright soliton in an expulsive potential
- A Storage Ring for Neutral Atoms
- Bose-condensed Bright Solitons under Transverse Confinement
- Critical numbers of attractive Bose-condensed atoms in asymmetric traps
- Bose-Einstein condensates with attractive interactions on a ring
- Dynamics of a BEC bright soliton in an expulsive potential
- Stability of the quantized circulation of an attractive Bose-Einstein condensate in a rotating torus
- Dynamics of Bose-Einstein condensates in cigar-shaped traps
- Effectively attractive Bose-Einstein condensates in a rotating toroidal trap
- Proposed magneto-electrostatic ring trap for neutral atoms
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- Connection between rotation and miscibility in a two-component Bose-Einstein condensate
- Criticality and Spin Squeezing in the Rotational Dynamics of a BEC on a Ring Lattice
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- Effects of Axial Vorticity in Elongated Mixtures of Bose-Einstein Condensates
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