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Polaron and molecular states of a spin-orbit coupled impurity in a spinless Fermi sea |
| Hong-Hao Yin(尹洪浩), Tian-Yang Xie(谢天扬), An-Chun Ji(纪安春), and Qing Sun(孙青)† |
| Department of Physics, Capital Normal University, Beijing 100048, China |
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Abstract We investigate the polaron and molecular states of a fermionic atom with one-dimensional spin-orbit coupling (SOC) coupled to a three-dimensional spinless Fermi sea. Because of the interplay among the SOC, Raman coupling and spin-selected interatomic interactions, the polaron state induced by the spin-orbit coupled impurity exhibits quite unique features. We find that the energy dispersion of the polaron generally has a double-minimum structure, which results in a finite center-of-mass (c.m.) momentum in the ground state, different from the zero-momentum polarons where SOC are introduced into the majority atoms. By further tuning the parameters such as the atomic interaction strength, a discontinuous transition between the polarons with different c.m. momenta may occur, signaled by the singular behavior of the quasiparticle residue and effective mass of the polaron. Meanwhile, the molecular state as well as the polaron-to-molecule transition is also strongly affected by the Raman coupling and the effective Zeeman field, which are introduced by the lasers generating SOC on the impurity atom. We also discuss the effects of a more general spin-dependent interaction and mass ratio. These results would be beneficial for the study of impurity physics brought by SOC.
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Received: 30 April 2021
Revised: 21 July 2021
Accepted manuscript online: 07 August 2021
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PACS:
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67.85.Lm
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(Degenerate Fermi gases)
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03.75.Ss
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(Degenerate Fermi gases)
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05.30.Fk
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(Fermion systems and electron gas)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11875195) and the Foundation of Beijing Education Committees (Grant Nos. CIT&TCD201804074 and KZ201810028043). |
Corresponding Authors:
Qing Sun
E-mail: sunqing@cnu.edu.cn
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Cite this article:
Hong-Hao Yin(尹洪浩), Tian-Yang Xie(谢天扬), An-Chun Ji(纪安春), and Qing Sun(孙青) Polaron and molecular states of a spin-orbit coupled impurity in a spinless Fermi sea 2021 Chin. Phys. B 30 106702
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