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Phys. Rev. A 76, 021602(R) (2007) [4 pages]

Flow equations for the BCS-BEC crossover

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S. Diehl1,2, H. Gies1, J. M. Pawlowski1, and C. Wetterich1
1Institut für Theoretische Physik, Philosophenweg 16, D-69120 Heidelberg, Germany
2Institute for Quantum Optics and Quantum Information of the Austrian Academy of Sciences, A-6020 Innsbruck, Austria

Received 15 January 2007; published 1 August 2007

The functional renormalization group is used for the BCS-BEC crossover in gases of ultracold fermionic atoms. In a simple truncation, we see how universality and an effective theory with composite bosonic diatom states emerge. We obtain a unified picture of the whole phase diagram. The flow reflects different effective physics at different scales. In the BEC limit as well as near the critical temperature, it describes an interacting bosonic theory.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.76.021602
DOI:
10.1103/PhysRevA.76.021602
PACS:
03.75.Ss, 64.60.Ak, 05.30.Fk