Three strongly correlated charged bosons in a one-dimensional harmonic trap: natural orbital occupancies
arXiv:1203.3693 · doi:10.1140/epjb/e2012-30066-6
Abstract
We study a one-dimensional system composed of three charged bosons confined in an external harmonic potential. More precisely, we investigate the ground-state correlation properties of the system, paying particular attention to the strong-interaction limit. We explain for the first time the nature of the degeneracies appearing in this limit in the spectrum of the reduced density matrix. An explicit representation of the asymptotic natural orbitals and their occupancies is given in terms of some integral equations.
6 pages, 4 figures, To appear in European Physical Journal B
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Cited by in corpus (5)
- Few strongly interacting ultracold fermions in one-dimensional traps of different shapes
- One-Dimensional Traps, Two-Body Interactions, Few-Body Symmetries: I. One, Two, and Three Particles
- Four fermions in a one-dimensional harmonic trap: Accuracy of a variational-ansatz approach
- Superfluidity of strongly correlated bosons in two- and three-dimensional traps
- Experimentally accessible invariants encoded in interparticle correlations of harmonically trapped ultra-cold few-fermion mixtures