Thermodynamics of the BCS-BEC crossover
By R. Haussmann, Walter Rantner, Stefano Cerrito, W. Zwerger. 2006
230 citations recorded by the source corpus.
We present a self-consistent theory for the thermodynamics of the BCS-BEC crossover in the normal and superfluid phase which is both conserving and gapless. It is based on the variational many-body formalism developed by Luttinger and Ward and by DeDominicis and Martin. Truncating the exact functional for the entropy to that obtained within a ladder approximation, the resulting self-consistent integral equations for the normal and anomalous Green functions are solved numerically for arbitrary coupling. The critical temperature, the equation of state, and the entropy are determined as a function of the dimensionless parameter 1/k{sub F}a, which controls the crossover from the BCS regime of extended pairs to the BEC regime of tightly bound molecules. The tightly bound pairs turn out to be described by a Popov-type approximation for a dilute, repulsive Bose gas. Even though our approximation does not capture the critical behavior near the continuous superfluid transition, our results provide a consistent picture for the complete crossover thermodynamics which compares well with recent numerical and field-theoretic approaches at the unitarity point.
Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics
View Paper: https://www.semanticscholar.org/paper/40ad40f25377467b43c7c165f91964dd03a7913a
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In Atomic and Molecular Physics, and Optics
In Condensed Matter Physics
- Christophe Mora
- M. Zwierlein
- G. Strinati
- A. Adams
- Lincoln D. Carr
- P. Schuck
- T. Schaefer
- John E. Thomas
Citations in the corpus
- Making, probing and understanding ultracold Fermi gases (2008, methodology): “TC extracted from [215], T ∗ calculated from Eq.”
- The BCS–BEC crossover: From ultra-cold Fermi gases to nuclear systems (2018, methodology): “59 by including pairing fluctuations in the superfluid phase with diagrammatic [151, 304, 159] or functional integral approaches [44, 45], by using [307, 308, 309] and large-N expansions [310], or by the functional renormalization group approach [311, 312].”
- Ultra-cold polarized Fermi gases (2010, background): “This very scheme and some variations have been applied experimentally in situ or after time of flight and theory [76, 77, 25, 78, 79] and experiments [80, 81, 82, 83] now converge towards the value ξ = 0.”
- Strongly correlated quantum fluids: ultracold quantum gases, quantum chromodynamic plasmas and holographic duality (2012, methodology): “The open squares are from the self-consistent T-matrix calculation [94].”