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

Journal Article · Mon Nov 15 00:00:00 EST 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.82.053633· OSTI ID:21528713

Peng, He ^[1]; Xiangguo, Yin; Yupeng, Wang ^[1]; Xiwen, Guan ^[2]; Batchelor, Murray T ^[2]

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1. Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190 (China)
2. Department of Theoretical Physics, Research School of Physics and Engineering, Australian National University, Canberra ACT 0200 (Australia)

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{sub 1} and H{sub 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 exhibit singular behavior 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.

• OSTI ID: 21528713
• Journal Information: Physical Review. A, Vol. 82, Issue 5; Other Information: DOI: 10.1103/PhysRevA.82.053633; (c) 2010 The American Physical Society; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CRITICALITY
ENTROPY
EQUATIONS OF STATE
FERMI GAS
FERMIONS
HYDROGEN
ONE-DIMENSIONAL CALCULATIONS
PHASE TRANSFORMATIONS
SPECIFIC HEAT
SU-3 GROUPS
TEMPERATURE RANGE 0065-0273 K
THERMODYNAMICS
ZEEMAN EFFECT
ELEMENTS
EQUATIONS
LIE GROUPS
NONMETALS
PHYSICAL PROPERTIES
SU GROUPS
SYMMETRY GROUPS
TEMPERATURE RANGE
THERMODYNAMIC PROPERTIES