Guan, Xi-Wen; Batchelor, Murray; Li (Lee), Chaohong; Bortz, Michael
We investigate pairing and quantum phase transitions in the one-dimensional two-component Fermi atomic gas in an external field. The phase diagram, critical fields, magnetization, and local pairing correlation are obtained analytically via the exact thermodynamic Bethe ansatz solution. At zero temperature, bound pairs of fermions with opposite spin states form a singlet ground state when the external field H< Hc1. A completely ferromagnetic phase without pairing occurs when the external field...[Show more]
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