Physics – Condensed Matter – Quantum Gases
Scientific paper
2010-09-13
Phys.Rev.A82:053633,2010
Physics
Condensed Matter
Quantum Gases
15 pages, 7 figures. Accepted for publication in Phys. Rev. A. Typos are corrected
Scientific paper
10.1103/PhysRevA.82.053633
Ultracold three-component atomic Fermi gases in one dimension are expected to exhibit rich physics due to the presence of trions and different pairing states. Quantum phase transitions from the trion state into a paired phase and a normal Fermi liquid occur at zero temperature. We derive the analytical thermodynamics of strongly attractive three-component one-dimensional fermions with SU(3) symmetry via the thermodynamic Bethe ansatz method in unequal Zeeman splitting fields $H_1$ and $H_2$. We find explicitly that for low temperature the system acts like either a two-component or a three-component Tomonaga-Luttinger liquid dependent on the system parameters. The phase diagrams for the chemical potential and specific heat are presented for illustrative values of the Zeeman splitting. We also demonstrate that crossover between different Tomonaga-Luttinger liquid phases evolve singular behaviour in specific heat and entropy as the temperature tends to zero. Beyond Tomonaga-Luttinger liquid physics, we obtain the equation of state which provides a precise description of universal thermodynamics and quantum criticality in three-component strongly attractive Fermi gases.
Batchelor Murray T.
Guan Xiwen
He Peng
Wang Yupeng
Yin Xiangguo
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