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arXiv · 1206.5614

Particle number fractionalization of a one-dimensional atomic Fermi gas with synthetic spin-orbit coupling

Dan-Wei Zhang·L. -B. Shao·Zheng-Yuan Xue·Hui Yan·Z. D. Wang·Shi-Liang Zhu
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Abstract

We propose an experimental scheme to simulate the fractionalization of particle number by using a one-dimensional spin-orbit coupled ultracold fermionic gas. The wanted spin-orbit coupling, a kink-like potential, and a conjugation-symmetry-breaking mass term are properly constructed by laser-atom interactions, leading to an effective low-energy relativistic Dirac Hamiltonian with a topologically nontrivial background field. The designed system supports a localized soliton excitation with a fractional particle number that is generally irrational and experimentally tunable, providing a direct realization of the celebrated generalized-Su-Schrieffer-Heeger model. In addition, we elaborate on how to detect the induced soliton mode with the FPN in the system.

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Dan-Wei Zhang, L. -B. Shao, Zheng-Yuan Xue, Hui Yan, Z. D. Wang, Shi-Liang Zhu. 2012-06-25. Particle number fractionalization of a one-dimensional atomic Fermi gas with synthetic spin-orbit coupling. https://doi.org/10.1103/physreva.86.063616

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