Unitary gas in an isotropic harmonic trap: Symmetry properties and applications
By F. Werner, Y. Castin. 2006
168 citations recorded by the source corpus.
We consider N atoms trapped in an isotropic harmonic potential, with s-wave interactions of infinite scattering length. In the zero-range limit, we obtain several exact analytical results: mapping between the trapped problem and the free-space zero-energy problem, separability in hyperspherical coordinates, SO(2,1) hidden symmetry, existence of a decoupled bosonic degree of freedom, and relations between the moments of the trapping potential energy and the moments of the total energy.
Subfields: Atomic and Molecular Physics, and Optics
View Paper: https://www.semanticscholar.org/paper/6632c23726c140d702d5fbd50a0d411701ef5ec2
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In Atomic and Molecular Physics, and Optics
- D. Son
- A. Jensen
- Nikolaj Thomas Zinner
- Marika Taylor
- K. Balasubramanian
- S. Hartnoll
- John McGreevy
- Arjun Bagchi
Citations in the corpus
- Comparing and contrasting nuclei and cold atomic gases (2013, background): “An important benchmark for the two-component fermionic few-body problem in a harmonic trap is the exact solution for three particles at unitarity where the groundstate energy is 4.27~ω (Werner & Castin 2006a, Werner & Castin 2006b).”
- Nonrelativistic conformal field theories (2007, background): “It is known that the eigenstates of Hosc are organized into ladders with spacing between steps equal to 2 [8, 9].”