Low Dimensional Quantum Gases: Resonance, Quantum magnetism and Non-Abelian vortices

低维量子气体：共振、量子磁性和非阿贝尔涡旋

• 批准号: 288179-2013
• 负责人: Zhou, Fei
• 金额: $ 2.4万
• 依托单位: University of British Columbia
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2013
• 资助国家: 加拿大
• 起止时间: 2013-01-01 至 2014-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=525717
• 关键词: Low; Dimensional; Quantum; Gases; Resonance

Quantum many-body systems in 2D can exhibit surprising features and unique correlations that otherwise do not exist in 3D. The best known example is perhaps fractional quantum hall states where excitations carry a fraction of electron charge. 2D Quantum gases are another example.This proposal focuses on 2D quantum gases with strong emphases on near-resonance physics, interplay between quantum magnetism in optical lattices and Feshbach resonances, and the hydrodynamics of non-Abelian vortices and non-Abelian gauge fields in 2D superfluids. Experimentally, near-resonance 2D quantum gases can be realized by combining optical confinement and Feshbach resonance. Theoretically, we plan to explore the interplay between few- and many-body physics in 2D, especially three-body correlations and the many-body effects on few-body clusters which can be studied in the loss spectroscopy. The other direction we are going to pursue is on quantum magnetism via Feshbach resonance; we suggest a proposal of studying quantum magnetism by combining Feshbach resonances and optical lattices to dramatically increase the range of temperatures within which magnetic ordering and phase transitions can be studied. The last direction is about low dimension spin correlated quantum gases; we plan to study the hydrodynamics of non-Abelian vortices in 2D gases, artificial non-Abelian gauge fields and dynamic generation of vortices in rotating quasi 2D traps.

2D 量子多体系统可以表现出 3D 中不存在的令人惊讶的特征和独特的相关性。最著名的例子可能是分数量子霍尔态，其中激发携带一小部分电子电荷。二维量子气体是另一个例子。该提案重点关注二维量子气体，重点关注近共振物理、光学晶格中的量子磁性和费什巴赫共振之间的相互作用，以及二维中非阿贝尔涡旋和非阿贝尔规范场的流体动力学超流体。实验上，通过结合光约束和费什巴赫共振可以实现近共振二维量子气体。理论上，我们计划探索二维中少体和多体物理之间的相互作用，特别是三体相关性和多体对少体簇的影响，这可以在损失光谱中研究。我们要追求的另一个方向是通过费什巴赫共振研究量子磁性；我们建议通过结合费什巴赫共振和光学晶格来研究量子磁性，以显着增加可以研究磁有序和相变的温度范围。最后一个方向是低维自旋相关量子气体；我们计划研究二维气体中非阿贝尔涡旋的流体动力学、人工非阿贝尔规范场以及旋转准二维陷阱中涡旋的动态生成。