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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References
C.A. Stan, M.W. Zwierlein, C.H. Schunck, S.M.F. Raupach, W. Ketterle, Phys. Rev. Lett. 93, 143001 (2004)
S. Inouye, J. Goldwin, M.L. Olsen, C. Ticknor, J.L. Bohn, D.S. Jin, Phys. Rev. Lett. 93, 183201 (2004)
M.-J. Zhu, H. Yang, L. Liu, D.-C. Zhang, Y.-X. Liu, J. Nan, J. Rui, B. Zhao, J.-W. Pan, E. Tiemann, Phys. Rev. A 96, 062705 (2017)
J.J. Zirbel, K.-K. Ni, S. Ospelkaus, J.P. D’Incao, C.E. Wieman, J. Ye, D.S. Jin, Phys. Rev. Lett. 100, 143201 (2008)
C.-H. Wu, J.W. Park, P. Ahmadi, S. Will, M.W. Zwierlein, Phys. Rev. Lett. 109, 085301 (2012)
C. Chin, R. Grimm, P. Julienne, E. Tiesinga, Rev. Mod. Phys. 82, 1225 (2010)
The BCS-BEC Crossover and the Unitary Fermi Gas, edited by W. Zwerger (Springer, Berlin, 2012)
M. Randeria, in Bose-Einstein Condensation, ed. by A. Griffin, D.W. Snoke, S. Stringari (Cambridge University Press, New York, 1995), p. 355
S. Tsuchiya, R. Watanabe, Y. Ohashi, Phys. Rev. A 80, 033613 (2009)
S. Tsuchiya, R. Watanabe, Y. Ohashi, Phys. Rev. A 82, 033629 (2010)
D. Kharga, D. Inotani, R. Hanai, Y. Ohashi, J. Phys. Soc. Jpn. 86, 084301 (2017)
J.T. Stewart, J.P. Gaebler, D.S. Jin, Nature (London) 454, 744 (2008)
Y. Sagi, T.E. Drake, R. Paudel, R. Chapurin, D.S. Jin, Phys. Lev. Lett. 114, 075301 (2015)
P. Törmä, Phys. Scr. 91, 043006 (2016)
D. Kharga, H. Tajima, P. van Wyk, D. Inotani, Y. Ohashi, J. Phys. Soc. Jpn. 86, 074301 (2017)
E. Fratini, P. Pieri, Phys. Rev. A 81, 051605(R) (2010)
E. Fratini, P. Pieri, Phys. Rev. A 85, 063618 (2012)
E. Fratini, P. Pieri, Phys. Rev. A 88, 013627 (2013)
A. Guidini, G. Bertanina, E. Fratini, P. Pieri, Phys. Rev. A 89, 023634 (2014)
N.M. Hugenholtz, D. Pines, Phys. Rev. 116, 489 (1959)
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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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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DOI: https://doi.org/10.1007/s10909-018-02114-1