Single-Particle Structures in the Normal State of a Strongly Interacting Bose–Fermi Mixture with Mass Imbalance

Abstract

We extend some of the authors’ previous work for a mass-balanced Bose–Fermi mixture to include effects of realistic mass imbalance in a \(^{23}\)Na–\(^{40}\)K and a \(^{87}\)Rb–\(^{40}\)K mixtures. Including effects of pairing fluctuations within the framework of an improved T-matrix theory, we calculate the single-particle spectral weight (SW), as well as the photoemission spectrum (PES) in the unitary regime at the Bose–Einstein condensation temperature \(T_{\mathrm {BEC}}\). We show that the characteristic three-peak structure induced by paring fluctuations, being predicted in the mass-balanced case, remains to exist in SW even in the presence of mass difference. We also show that PES is a useful experimental method to observe this phenomenon in a \(^{23}\)Na–\(^{40}\)K, as well as \(^{87}\)Rb–\(^{40}\)K, Bose–Fermi mixtures. Since this strong-coupling phenomenon is qualitatively different from that in a two-component Fermi gas, our results would be useful in clarifying how the quantum statistics affects Bose and Fermi pairing phenomena in a two-component gas mixture.

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Acknowledgements

We would like to thank R. Sato for discussions. This work was supported by KiPAS project in Keio University. DI was supported by Grant-in-aid for Scientific Research from JSPS in Japan (No. JP16K17773). YO was supported by Grant-in-aid for Scientific Research from MEXT and JSPS in Japan (Nos. JP16K05503, JP18K11345, JP18H05406).

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Correspondence to K. Manabe.

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Manabe, K., Kagamihara, D., Inotani, D. et al. Single-Particle Structures in the Normal State of a Strongly Interacting Bose–Fermi Mixture with Mass Imbalance. J Low Temp Phys 196, 126–132 (2019). https://doi.org/10.1007/s10909-018-02114-1

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Keywords

  • Cold atom physics
  • Bose–Fermi mixture
  • Bose–Einstein condensation
  • Strong-coupling effects