Condensate fragmentation in a new exactly solvable model for confined bosons.
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Summary
A new class of exactly solvable models for the finite boson system is derived from Richardson's exact solution of the multilevel pairing model which solves a particular Hamiltonian which displays a transition to a fragmented condensate for repulsive pairing interaction.
- Type
- article
- Published
- 2000-09-05
- Cited by
- 36
- References
- 1
- Access
- Open access
- OpenAlex
- https://openalex.org/W1984646764
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:35880681
Keywords
Boson, Pairing, Physics, Hamiltonian (control theory), Mathematical physics
References
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Cited by
- Colloquium: Exactly solvable Richardson-Gaudin models for many-body quantum systems
- Condensate fragmentation as a sensitive measure of the quantum many-body behavior of bosons with long-range interactions
- Exactly-solvable models derived from a generalized Gaudin algebra
- BETHE ANSATZ FOR NON-COMPACT GROUPS: THE PAIRING MODELS FOR BOSONS
- Integrable multi-atom matter¿radiation models without rotating wave approximation
- Large-N limit of the exactly solvable BCS model: analytics versus numerics
- RANK-TWO RICHARDSON-GAUDIN MODELS
- Ground state correlations in a trapped quasi one-dimensional Bose gas
- Finite-size scaling exponents in the interacting boson model
- EXACTLY SOLVABLE PAIRING HAMILTONIANS
- On the exactly solvable pairing models for bosons
- Block-diagonalization of pairing Hamiltonians using spin transpositions
- Phase transitions and quasi-dynamical symmetry in nuclear collective models, III: The U(5) to SU(3) phase transition in the IBM
- Trigonometric osp(1|2) Gaudin model
- Richardson-Gaudin models: the hyperbolic family
- Comparison between exact and approximate treatments of the pairing interaction for finite Fermi systems
- Fragmentation of Bose-Einstein Condensates
- Proof of the Variational Principle for a Pair Hamiltonian Boson Model
- Chern-Simons theory and BCS superconductivity
- Exactly solvable models of proton and neutron interacting bosons
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