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BCS–BEC Crossover and Unconventional Superfluid Order in One Dimension

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The BCS-BEC Crossover and the Unitary Fermi Gas

Part of the book series: Lecture Notes in Physics ((LNP,volume 836))

Abstract

In this chapter we discuss the BCS–BEC crossover in one-dimensional Fermi gases. We present exact results using the Bethe Ansatz as well as numerical calculations of the correlation functions and the complete phase diagram. In a balanced gas, a continuous crossover occurs from a BCS-type fermionic superfluid to a BEC of pairs that are described by the Lieb-Liniger model. In the case of a finite imbalance, superfluidity persists in the form of a Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) state with finite-momentum pairs on the weak coupling side. For strong attractive interactions, it is replaced by a Bose-Fermi mixture. The perspectives to observe an FFLO-state with ultracold fermions in a harmonic trap are discussed.

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Acknowledgments

F.H.-M. and W.Z. acknowledge support from the Deutsche Forschungsgemeinschaft through FOR801. A.E.F. acknowledges support from the NSF through grant DMR-0955707. We thank R. Hulet for very fruitful discussions.

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Authors and Affiliations

  1. Department of Physics and Astronomy, University of Wyoming, Laramie, WY, 82071, USA

    A. E. Feiguin

  2. Department of Physics, Arnold Sommerfeld Center for Theoretical Physics, Ludwig-Maximilians-Universität München, D-80333, München, Germany

    F. Heidrich-Meisner & G. Orso

  3. Physik Department, Technische Universität München, D-85747, Garching, Germany

    W. Zwerger

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  1. A. E. Feiguin
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Correspondence to A. E. Feiguin .

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  1. Fakultät für Physik, Physik-Department, Technische Universität München, James-Franck-Straße, Garching, 85747, Germany

    Wilhelm Zwerger

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Feiguin, A.E., Heidrich-Meisner, F., Orso, G., Zwerger, W. (2012). BCS–BEC Crossover and Unconventional Superfluid Order in One Dimension. In: Zwerger, W. (eds) The BCS-BEC Crossover and the Unitary Fermi Gas. Lecture Notes in Physics, vol 836. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21978-8_14

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