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Periodic dynamics of population-imbalanced fermionic condensates in optical lattices

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Abstract

We investigate the dynamics of a population-imbalanced two-species fermionic system trapped in an optical lattice. The paired fermions here can form bosonic molecules via Feshbach coupling in the presence of an external magnetic field. It is shown that the natural fluctuations of the condensate fraction are periodic beyond a threshold Feshbach detuning; below this threshold value, the condensate fraction shows no oscillation at all. The oscillation frequency vs. detuning curve is linear in nature. The slope and intercept of this line are shown to carry important information about the amount of imbalance present in the system, and the momentum-space structure of the exotic phases.

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All the data obtained from analytical/numerical calculations have been presented in the forms of graphical plots. Some additional data are presented as tables in the Appendix.

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Acknowledgements

AM would like to acknowledge University Grants Commission (UGC), Govt. of India for financial support (Student ID: 201610064840). RD would like to acknowledge Science and Engineering Research Board (SERB), Department of Science and Technology, Govt. of India for providing support under the CRG scheme (CRG/2022/007312).

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  1. Department of Physics, University of Calcutta, 92 A. P. C. Road, Kolkata, 700009, India

    Avinaba Mukherjee & Raka Dasgupta

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  1. Avinaba Mukherjee
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Correspondence to Avinaba Mukherjee.

Appendix: Calculation of parameters for \(^6\text{ Li }\) and \(^{40}\text{ K }\)

Appendix: Calculation of parameters for \(^6\text{ Li }\) and \(^{40}\text{ K }\)

In this section, we compute the \(g_1\) and \(g_2\) values for \(^6\text{ Li }\) and \(^{40}\text{ K }\) corresponding to different amounts of fractional imbalance and dimension for \(^6\text{ Li }\) and \(^{40}\text{ K }\) sample. Building elements of \(g_1\) and \(g_2\) for both \(^6\text{ Li }\) and \(^{40}\text{ K }\) is shown in Table 1 in the page of tables. Tables 2, 3, and 4 contain the relevant system parameters in different dimensions.

Table 6 Variation of nearest form of \(f_1(\omega )\) with fractional imbalance for PS state and \({}^6\text{ Li }\) sample in 1D
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Mukherjee, A., Dasgupta, R. Periodic dynamics of population-imbalanced fermionic condensates in optical lattices. Eur. Phys. J. B 97, 15 (2024). https://doi.org/10.1140/epjb/s10051-024-00649-9

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