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Reliable Equation of State for Composite Bosons in the 2D BCS-BEC Crossover

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Abstract

We briefly discuss recent experiments on the BCS-BEC crossover with ultracold alkali-metal atoms both in three-dimensional configurations and two-dimensional ones. Then we analyze the quantum-field-theory formalism used to describe an attractive D-dimensional Fermi gas taking into account Gaussian fluctuations. Finally, we apply this formalism to obtain a reliable equation of state of the 2D system at low temperaratures in the BEC regime of the crossover by performing a meaningful dimensional regularization of the divergent zero-point energy of collective bosonic excitations.

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Acknowledgements

This work was partially supported by MIUR through the PRIN Project “Collective Quantum Phenomena: from Strongly-Correlated Systems to Quantum Simulators.”

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Authors and Affiliations

  1. Dipartimento di Fisica e Astronomia “Galileo Galilei”, Universita di Padova, Padova, Italy

    L. Salasnich

  2. INO-CNR, Sezione di Sesto Fiorentino, Sesto Fiorentino, Italy

    L. Salasnich

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  1. L. Salasnich
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Correspondence to L. Salasnich.

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Salasnich, L. Reliable Equation of State for Composite Bosons in the 2D BCS-BEC Crossover. J Supercond Nov Magn 29, 697–700 (2016). https://doi.org/10.1007/s10948-015-3290-4

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  • DOI: https://doi.org/10.1007/s10948-015-3290-4

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