Condensate fraction of asymmetric three-component Fermi gas

Abstract

In this paper, we investigate the condensate fraction (CF) of fermionic pairs in the BCS-BEC crossover for threecomponent Fermi gas with both asymmetric interactions and unequal chemical potentials in two-dimensional free space. By using the functional-path-integral method, we have analytically derived the number densities and bound-state energy, from which the off-diagonal long-range order is analyzed in terms of the asymptotic behavior of the two-body density matrix. The explicit formula of CF is obtained as a function of the bound-state energy and population imbalance. It is demonstrated that the CF spectrum with respect to the bound-state energy can be used to characterize the quantum phase transition between the two kinds of Sarma phases as well as the transition from three-component to two-component superfluid. Moreover we obtain the same analytic formula of CF in the BCS superfluid phase as that of homogeneous Fermi gas with equal chemical potentials.

Atomic motion in the magneto–optical trap consisting of partially spatially coherent laser

“…Because of the ability to slow, focus, and trap atoms, laser cooling is attracting more and more attention in practical applications, including atom lithography, [1] atom clocks, [2][3][4] atom interferometer, [5][6][7] precision measurements of fundamental constants, [8,9] and atom optics. [10,11] With the study going on, various ideas and experimental technologies for atom cooling are proposed and developed.…”