辛费米液体及其在冷原子系统中的实现
The Symplectic Fermi Liquid and its realization in cold atomic systems
摘要：
本文研究了具有大自旋和SP（N）对称性的费米子相互作用系统。我们通过分析每种情况下的守恒量和动力学，将它们的行为与SU（N）对称性的情况进行对比。我们还发展了具有SP（N）对称性的费米子的费米液体理论。我们发现，在相互作用的存在下，有效质量和逆压缩性总是增强，并且在不同的参数制度中，增强的N依赖性是定性不同的。威尔逊比可以增强，表明系统可以更接近磁不稳定性，与SU（N）方案相反。最后，我们讨论了冷原子中SP（N）对称性的实验途径以及在这些系统中实现高维物理的可能性。
英文摘要：
In this work we study a system of interacting fermions with large spin and SP(N) symmetry. We contrast their behaviour with the case of SU(N) symmetry by analysing the conserved quantities and the dynamics in each case. We also develop the Fermi liquid theory for fermions with SP(N) symmetry. We find that the effective mass and inverse compressibility are always enhanced in the presence of interactions, and that the N-dependence of the enhancement is qualitatively different in distinct parameter regimes. The Wilson ratio can be enhanced, indicating that the system can be made closer to a magnetic instability, in contrast to the SU(N) scenario. We conclude discussing what are the experimental routes to SP(N) symmetry within cold atoms and the exciting possibility to realize physics in higher dimensions in these systems.
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