Analytical thermodynamics of a strongly attractive three-component Fermi gas in one dimension

Abstract

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.

15 pages, 7 figures. Accepted for publication in Phys. Rev. A. Typos are corrected

References in corpus (14)

• The Equation of State of a Low-Temperature Fermi Gas with Tunable Interactions
• Collisional stability of a three-component degenerate Fermi gas
• Ultracold fermions and the SU(N) Hubbard model
• Three-body recombination in a three-state Fermi gas with widely tunable interactions
• Phase diagram of a strongly interacting polarized Fermi gas in one dimension
• Observation of an Efimov-like resonance in ultracold atom-dimer scattering
• Color Superfluidity and "Baryon" Formation in Ultracold Fermions
• Competing orders in one dimensional spin 3/2 fermionic systems
• Phase Transitions and Pairing Signature in Strongly Attractive Fermi Atomic Gases
• Exact quantum Monte Carlo study of one dimensional trapped fermions with attractive contact interactions
• Superfluidity and magnetism in multicomponent ultracold fermions
• Atom-Dimer Scattering in a Three-Component Fermi Gas
• Universal temperature dependence of the magnetization of gapped spin chains
• Magnetic Phase Transitions in One-dimensional Strongly Attractive Three-Component Ultracold Fermions

Cited by in corpus (3)

• Polylogs, thermodynamics and scaling functions of one-dimensional quantum many-body systems
• Quantum Criticality of one-dimensional multicomponent Fermi Gas with Strongly Attractive Interaction
• A unified approach to the thermodynamics and quantum scaling functions of one-dimensional strongly attractive $SU(w)$ Fermi Gases