Supershell structure in trapped dilute Fermi gases
arXiv:cond-mat/0502096 · doi:10.1103/PhysRevA.72.051602
Abstract
We show that a dilute harmonically trapped two-component gas of fermionic atoms with a weak repulsive interaction has a pronounced super-shell structure: the shell fillings due to the spherical harmonic trapping potential are modulated by a beat mode. This changes the ``magic numbers'' occurring between the beat nodes by half a period. The length and amplitude of this beating mode depend on the strength of the interaction. We give a simple interpretation of the beat structure in terms of a semiclassical trace formula for the symmetry breaking U(3) --> SO(3).
4 pages, 4 figures; In version 2, references added. The semiclassical explanation of super-shell structure is refined. Version 3, as appeared in Phys. Rev. A
References in corpus (8)
- Three-body problem in Fermi gases with short-range interparticle interaction
- Observation of Supershell Structure in Alkali Metal Nanowires
- CP^n, or, entanglement illustrated
- Shell structure and pairing for interacting fermions in a trap
- Uniform trace formulae for SU(2) and SO(3) symmetry breaking
- Phase diagram of trapped degenerate Fermi gases including effective s- and p-wave interactions
- Uniform approximations for pitchfork bifurcation sequences
- Uniform semiclassical trace formula for U(3) --> SO(3) symmetry breaking
Cited by in corpus (8)
- Spectral properties of Bunimovich mushroom billiards
- On the ground--state energy of finite Fermi systems
- Super-shell structures and pairing in ultracold trapped Fermi gases
- Interplay between shell structure and trap deformation in dipolar fermi gases
- On the spin asymmetry of ground states in trapped two-component Fermi gases with repulsive interactions
- Perturbative Semiclassical Trace Formulae for Harmonic Oscillators
- Quantum Chaos and Regularity in Ultracold Fermi Gases
- A Fortran 90 program to solve the Hartree-Fock equations for interacting spin-1/2 Fermions confined in Harmonic potentials