论文标题

冷玻色气体的量子厅阶段

Quantum Hall Phases of Cold Bose Gases

论文作者

Rougerie, Nicolas, Yngvason, Jakob

论文摘要

相互作用的玻色子的冷原子气体受到快速旋转和限制在肛门陷阱中的冷原子气体可以从理论上表现出强磁场中电子对电子的分数量子霍尔效应的类似物。在这种设置中,由于旋转而引起的科里奥利力模拟了带电颗粒的洛伦兹力,但是也可以通过将原子的内部结构与光场耦合来获得人造仪表场。本章讨论了向不同相关的阶段过渡的数学方面,这些阶段是在模型大麻的参数变化时出现的。

Cold atomic gases of interacting bosons subject to rapid rotation and confined in anharmonic traps can theoretically exhibit analogues of the fractional quantum Hall effect for electrons in strong magnetic fields. In this setting the Coriolis force due to the rotation mimics the Lorentz force on charged particles but artificial gauge fields can also be obtained by coupling the internal structure of the atoms to light fields. The chapter discusses mathematical aspects of transitions to different strongly correlated phases that appear when the parameters of a model Hamiltonian are varied.

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