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Zero-Temperature Properties of a Strongly Interacting Superfluid Fermi Gas in the BCS–BEC Crossover Region

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Abstract

We investigate thermodynamic properties and effects of quantum fluctuations in the Bardeen–Cooper–Schrieffer (BCS)–Bose–Einstein condensation (BEC) crossover region of a superfluid Fermi gas in the low-temperature limit. Including strong-coupling corrections within the framework of an extended T-matrix approximation, we numerically compute the isothermal compressibility \(\chi _n\). While quantum fluctuation effects on \(\chi _n\) in the strong-coupling BEC regime are explained by the quantum depletion due to a repulsive interaction between tightly bound molecules, effects of self-energy shift on the Fermi chemical potential are found to enhance \(\chi _n\) in the weak-coupling BCS region. We also show that the calculated \(\chi _n\) agrees well with the recent experiment on a \(^6\)Li Fermi gas done from the weak-coupling region to the unitarity limit. Our result would be useful for the study of many-body quantum corrections in the BCS–BEC crossover region of a strongly interacting Fermi superfluid.

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Acknowledgements

We thanks to M. Matsumoto for useful discussions. This work was supported by KiPAS project in Keio University. H.T. and R.H. were supported by a grant-in-aid for JSPS fellows. D.I. was supported by grant-in-aid for Young Scientists (B) from JSPS in Japan (No.16K17773). M.H. was supported by grant-in-aid for Scientific Research on Innovative Areas (No. 24105006) and grant-in-aid for Young Scientists (A) from JSPS in Japan (No. 23684033). Y.O. was supported by grant-in-aid for Scientific Research from MEXT and JSPS in Japan (No.15H00840,No.15K00178,No.16K05503).

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Authors and Affiliations

  1. Department of Physics, Faculty of Science and Technology, Keio University, 3-14-1, Hiyoshi, Kohoku-ku, Yokohama, 223-8522, Japan

    H. Tajima, P. van Wyk, R. Hanai, D. Kagamihara, D. Inotani & Y. Ohashi

  2. Institute for Photon Science and Technology, Graduate School of Science, The University of Tokyo, 7-3-1, Hongo, Bunkyo-ku, Tokyo, 113-0033, Japan

    M. Horikoshi

  3. Photon Science Center, Graduate School of Engineering, The University of Tokyo, 2-11-16, Yayoi, Bunkyo-ku, Tokyo, 113-8656, Japan

    M. Horikoshi

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  1. H. Tajima
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  2. P. van Wyk
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  3. R. Hanai
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  4. D. Kagamihara
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  5. D. Inotani
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  6. M. Horikoshi
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  7. Y. Ohashi
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Correspondence to H. Tajima.

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Tajima, H., van Wyk, P., Hanai, R. et al. Zero-Temperature Properties of a Strongly Interacting Superfluid Fermi Gas in the BCS–BEC Crossover Region. J Low Temp Phys 187, 677–684 (2017). https://doi.org/10.1007/s10909-016-1691-9

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  • DOI: https://doi.org/10.1007/s10909-016-1691-9

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