论文标题
合成通量附件
Synthetic Flux Attachment
论文作者
论文摘要
拓扑场理论在强相关的冷凝物质系统中以低能量出现，并出现在平面重力的背景下。特别是，当量规场与物质耦合时，对Chern-Simons项的研究产生了通量附着的概念，从而产生了磁通芯复合材料。在这里，我们研究了在存在非线性合成规电位的情况下，玻色子凝结物中通量附着的产生。在此过程中，我们将U（1）Chern-Simons仪表场识别为奇异密度依赖性量规电位，而该电位又可以表示为浆果连接。我们设想了一种概念验证方案，其中人造量规场是由粒子间相互作用产生的有效的光肌引起的。在平均场水平上，我们恢复了“充电”超流体的作用，最小化与背景和Chern-simons仪表场相结合。值得注意的是，局部密度扰动与非线性尺度电势相结合产生了有效的分数量子霍尔效应的复合玻色子模型，显示出任何旋转。
Topological field theories emerge at low energy in strongly-correlated condensed matter systems and appear in the context of planar gravity. In particular, the study of Chern-Simons terms gives rise to the concept of flux attachment when the gauge field is coupled to matter, yielding flux-charge composites. Here we investigate the generation of flux attachment in a Bose-Einstein condensate in the presence of non-linear synthetic gauge potentials. In doing so, we identify the U(1) Chern-Simons gauge field as a singular density-dependent gauge potential, which in turn can be expressed as a Berry connection. We envisage a proof-of-concept scheme where the artificial gauge field is perturbatively induced by an effective light-matter detuning created by interparticle interactions. At a mean field level, we recover the action of a "charged" superfluid minimally coupled to both a background and a Chern-Simons gauge field. Remarkably, a localised density perturbation in combination with a non-linear gauge potential gives rise to an effective composite boson model of fractional quantum Hall effect, displaying anyonic vortices.
