量子Hall系统中Kohn定理之外的少体集体激发
Few-body collective excitations beyond Kohn's theorem in quantum Hall systems
摘要：
在量子霍尔系统中存在一个相对坐标呼吸模式，在库仑作用和偶极-偶极相互作用下表现出不同的行为。虽然Kohn定理预测任何相对坐标相互作用都不会改变质量质心能谱，但它会影响相对坐标中的激发。一个这样的集体激发，我们称之为超径向呼吸模式，自然地出现在一个少体，超球表示的问题，并取决于粒子间的相互作用，基态波函数，和参与激发的粒子数。这种激发的可能观测将在冷旋转原子模拟和传统的量子霍尔实验的背景下讨论。
英文摘要：
A relative coordinate breathing mode in the quantum Hall system is predicted to exist with different behavior under either Coulomb or dipole-dipole interactions. While Kohn's theorem predicts that any relative coordinate interaction will fail to alter the center of mass energy spectrum, it can affect excitations in the relative coordinates. One such collective excitation, which we call the hyperradial breathing mode, emerges naturally from a few-body, hyperspherical representation of the problem and depends on the inter-particle interactions, the ground state wave function, and the number of particles participating in the excitation. Possible observations of this excitation will be discussed in the context of both cold rotating atomic simulations and conventional quantum Hall experiments.
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