Analytic Thermodynamics and Thermometry of Gaudin-Yang Fermi Gases
- Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh, Pennsylvania 15260 (United States)
- Department of Theoretical Physics, Research School of Physics and Engineering, Australian National University, Canberra ACT 0200 (Australia)
- Institute for Solid State Physics, University of Tokyo, Kashiwa 277-8581 (Japan)
We study the thermodynamics of a one-dimensional attractive Fermi gas (the Gaudin-Yang model) with spin imbalance. The exact solution has been known from the thermodynamic Bethe ansatz for decades, but it involves an infinite number of coupled nonlinear integral equations whose physics is difficult to extract. Here the solution is analytically reduced to a simple, powerful set of four algebraic equations. The simplified equations become universal and exact in the experimental regime of strong interaction and relatively low temperature. Using the new formulation, we discuss the qualitative features of finite-temperature crossover and make quantitative predictions on the density profiles in traps. We propose a practical two-stage scheme to achieve accurate thermometry for a trapped spin-imbalanced Fermi gas.
- OSTI ID:
- 21370708
- Journal Information:
- Physical Review Letters, Vol. 103, Issue 14; Other Information: DOI: 10.1103/PhysRevLett.103.140404; (c) 2009 The American Physical Society; ISSN 0031-9007
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
EXACT SOLUTIONS
FERMI GAS
INTEGRAL EQUATIONS
NONLINEAR PROBLEMS
ONE-DIMENSIONAL CALCULATIONS
SPIN
STRONG INTERACTIONS
THERMODYNAMICS
TRAPPING
ANGULAR MOMENTUM
BASIC INTERACTIONS
EQUATIONS
INTERACTIONS
MATHEMATICAL SOLUTIONS
PARTICLE PROPERTIES