Non-Abelian dynamical gauge field and topological superfluids in optical Raman lattice

Xin-Chi Zhou; Tian-Hua Yang; Zhi-Yuan Wang; Xiong-Jun Liu

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arXiv · 2309.12923

Non-Abelian dynamical gauge field and topological superfluids in optical Raman lattice

Xin-Chi Zhou·Tian-Hua Yang·Zhi-Yuan Wang·Xiong-Jun Liu

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Abstract

We propose an experimental scheme to realize non-Abelian dynamical gauge field for ultracold fermions, which induces a novel pairing mechanism of topological superfluidity. The dynamical gauge fields arise from nontrivial interplay effect between the strong Zeeman splitting and Hubbard interaction in a two-dimensional (2D) optical Raman lattice. The spin-flip transitions are forbidden by the large Zeeman detuning, but are restored when the Zeeman splitting is compensated by Hubbard interaction. This scheme allows to generate a dynamical non-Abelian gauge field that leads to a Dirac type correlated 2D spin-orbit interaction depending on local state configurations. The topological superfluid from a novel pairing driven by 2D dynamical gauge fields is reached, with analytic and numerical results being obtained. Our work may open up a door to emulate non-Abelian dynamical gauge fields and correlated topological phases with experimental feasibility.

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cond-mat.quant-gas cond-mat.str-el cond-mat.supr-con quant-ph

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Xin-Chi Zhou, Tian-Hua Yang, Zhi-Yuan Wang, Xiong-Jun Liu. 2023-09-22. Non-Abelian dynamical gauge field and topological superfluids in optical Raman lattice. https://arxiv.org/abs/2309.12923

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