Energy spectrum of harmonically trapped two-component Fermi gases: Three- and Four-Particle Problem
Jun, 2010Citations per year
Abstract: (arXiv)
Trapped two-component Fermi gases allow for the investigation of the so-called BCS-BEC crossover by tuning the interspecies atom-atom -wave scattering length scattering from attractive to repulsive, including vanishing and infinitely large values. Here, we numerically determine the energy spectrum of the equal-mass spin-balanced four-fermion system---the smallest few-particle system that exhibits BCS-BEC crossover-like behavior---as a function of using the stochastic variational approach. For comparative purposes, we also treat the two- and three-particle systems. States with vanishing and finite total angular momentum as well as with natural and unnatural parity are considered. In addition, the energy spectrum of weakly-attractive and weakly-repulsive gases is characterized by employing a perturbative framework that utilizes hyperspherical coordinates. The hyperspherical coordinate approach allows for the straightforward assignment of quantum numbers and furthermore provides great insights into the strongly-interacting unitary regime.- 34.50.-s
- 05.30.Fk
- 03.75.Ss
- energy spectrum: calculated
- Fermi gas
- atom: scattering length
- angular momentum
- quantum number
- numerical calculations: variational
- stochastic
References(22)
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