Rotational spectra of weakly interacting Bose-Einstein condensates
arXiv:cond-mat/0005480 · doi:10.1103/PhysRevA.63.023616
Abstract
We study the spectrum of rotating Bose-Einstein Condensates in the limit of weak repulsive interactions and present analytical and numerical results for energies and wave functions. While the low-lying states are of collective nature, the high-lying states are dominated by single-particle excitations and can accurately approximated by simple polynomial expressions. In the limit that the number of particles is large compared to the number of excited quanta, the single-particle states become excellent approximations to the eigenstates, and a rather simple ordering scheme is obtained.
12 pages, 4 EPS-figures, typos corrected and references updated
References in corpus (3)
Cited by in corpus (37)
- Vortices in quantum droplets: Analogies between boson and fermion systems
- Emergence of fractional statistics for tracer particles in a Laughlin liquid
- Many-body spectrum and particle localization in quantum dots and finite rotating Bose condensates
- Strongly correlated phases in rapidly rotating Bose gases
- Quantum Hall phases and plasma analogy in rotating trapped Bose gases
- The Yrast Line of a Rapidly Rotating Bose Gas: Gross-Pitaevskii Regime
- Fragmentation of Spin-orbit Coupled Spinor Bose-Einstein Condensates
- Quantum Hall states of bosons in rotating anharmonic traps
- Validity of the Lowest Landau Level Approximation for Rotating Bose Gases
- Unified microscopic approach to the interplay of pinned-Wigner-solid and liquid behavior of lowest-Landau-level states in the neighborhood of nu=1/3
- Energy gaps and roton structure above the nu=1/2 Laughlin state of a rotating dilute Bose-Einstein condensate
- Fragmented Condensate Ground State of Trapped Weakly Interacting Bosons in Two Dimensions
- Local incompressibility estimates for the Laughlin phase
- Emergence of Haldane pseudo-potentials in systems with short-range interactions
- Highest weight Macdonald and Jack Polynomials
- Incompressibility Estimates for the Laughlin Phase
- Ground state properties of a trapped few-Boson system under rotation --beyond the "lowest Landau level" approximation--
- Exact results for the Spectra of Bosons and Fermions with Contact Interaction
- Rotating Bose-Einstein condensates: Closing the gap between exact and mean-field solutions
- Quantal molecular description and universal aspects of the spectra of bosons and fermions in the lowest Landau level
- A fully quantal molecular description for the spectra of bosons and fermions in the lowest Landau level
- Some contributions to many-body quantum mathematics
- Generalized yrast states of a Bose condensate in harmonic trap for a universality class of repulsive interactions
- Hot Topics in Cold Gases
- The Laughlin liquid in an external potential
- Universal solutions for interacting bosons in one-dimensional harmonic traps
- Asymptotically exact trial wave functions for yrast states of rotating Bose gases
- Fractional quantum Hall physics and higher-order momentum correlations in a few spinful fermionic contact-interacting ultracold atoms in rotating traps
- Operator-Algebraic Approach to the Yrast Spectrum of Weakly Interacting Trapped Bosons
- Vortex patterns in moderately rotating Bose-condensed gas
- Condensed vortex ground states of rotating Bose-Einstein condensate in harmonic atomic trap
- Novel phases in rotating Bose-condensed gas: vortices and quantum correlation
- Analytical Results for Trapped Weakly Interacting Bosons in Two Dimensions
- Wave-function microscopy: Derivation and anatomy of exact algebraic spinful wave functions and full Wigner-molecular spectra of a few highly correlated rapidly rotating ultracold fermionic atoms
- A two-state model for vortex nucleation in a rotating Bose-Einstein condensate
- Cranked Hartree-Fock-Bogoliubov Calculation for Rotating Bose-Einstein Condensates
- Artificial versus Natural Atoms: The uncanny capability of the many-body Schrödinger equation to produce emergent behavior