Universal solutions for interacting bosons in one-dimensional harmonic traps
arXiv:cond-mat/0108474 · doi:10.1103/PhysRevA.65.033606
Abstract
We consider systems of interacting bosons confined to one-dimensional harmonic traps. In the limit of perturbatively weak two-body interactions the system exhibits several universal states that are exact solutions for a large class of two-body interactions. These states are closely related to the exact solutions found previously in rotating Bose-Einstein condensates.
10 pages, 2 PS-figures
References in corpus (18)
- Theory of Bose-Einstein condensation in trapped gases
- Realization of Bose-Einstein condensates in lower dimensions
- Regimes of quantum degeneracy in trapped 1D gases
- Bosons in cigar-shape traps: Thomas-Fermi regime, Tonks-Girardeau regime, and between
- Do attractive bosons condense?
- Ground state properties of a one-dimensional condensate of hard core bosons in a harmonic trap
- Yrast line for weakly interacting trapped bosons
- The Yrast Spectra of Weakly Interacting Bose-Einstein Condensates
- Weakly-interacting Bose-Einstein condensates under rotation
- Exact Eigenstates for Repulsive Bosons in Two Dimensions
- Rotational spectra of weakly interacting Bose-Einstein condensates
- Analytical results for a trapped, weakly-interacting Bose-Einstein condensate under rotation
- Exact Eignstates for Trapped Weakly Interacting Bosons in Two Dimensions
- Low-Lying Excitations from the Yrast Line of Weakly Interacting Trapped Bosons
- Exact solutions for interacting boson systems under rotation
- Low-lying excitations of a trapped rotating Bose-Einstein condensate
- Operator-Algebraic Approach to the Yrast Spectrum of Weakly Interacting Trapped Bosons
- Perturbative spectrum of Trapped Weakly Interacting Bosons in Two Dimensions
Cited by in corpus (5)
- Ground-state properties of hard core bosons in one-dimensional harmonic traps
- Landau damping in trapped Bose-condensed gases
- Repulsive to attractive interaction quenches of 1D Bose gas in a harmonic trap
- Long Range Interactions in Quantum Many Body Problem in One-Dimension:Ground State
- A superintegrable quantum field theory