论文标题

分数量子霍尔双层中的集体模式的淬灭动态

Quench dynamics of collective modes in fractional quantum Hall bilayers

论文作者

Liu, Zhao, Balram, Ajit C., Papić, Zlatko, Gromov, Andrey

论文摘要

我们引入了不同类型的淬火,以探测双层分数量子霍尔状态的非平衡动力学和多种集体模式。我们表明,在一层中应用电场会引起自旋1自由度的振荡,其频率与偶极模式的长波长极限相匹配。另一方面,可以突然改变带质量各向异性的变化,即可以激活四极杆模式的长波长极限的振荡。我们构建了一个有效的田间理论来描述这些集体模式的淬火动力。特别是,我们得出了Spin-2和Spin-1状态的动力学,并证明了它们与数字的极好一致。

We introduce different types of quenches to probe the non-equilibrium dynamics and multiple collective modes of bilayer fractional quantum Hall states. We show that applying an electric field in one layer induces oscillations of a spin-1 degree of freedom, whose frequency matches the long-wavelength limit of the dipole mode. On the other hand, oscillations of the long-wavelength limit of the quadrupole mode, i.e., the spin-2 graviton, as well as the combination of two spin-1 states, can be activated by a sudden change of band mass anisotropy. We construct an effective field theory to describe the quench dynamics of these collective modes. In particular, we derive the dynamics for both the spin-2 and the spin-1 states and demonstrate their excellent agreement with numerics.

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