Condensate fraction of asymmetric three-component Fermi gas |
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Authors: | Du Jia-Jia Liang Jun-Jun Liang Jiu-Qing |
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Affiliation: | a Institute of Theoretical Physics, Shanxi University, Taiyuan 030006, China;b Department of Physics, Shanxi University, Taiyuan 030006, China |
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Abstract: | In this paper, we investigate the condensate fraction (CF) of fermionic pairs in the BCS–BEC crossover for three-component 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. |
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Keywords: | condensate fraction BCS– BEC crossover Sarma phases |
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