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arXiv 2202.11573cond-mat.quant-gascond-mat.other
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量子涡旋的流体动力学特征和光谱性质

Hydrodynamic signatures and spectral properties of the quantum vortex

João E. H. Braz, P. Ribeiro, H. Terças

摘要:

我们使用态密度(DOS)的标准定义和对激发谱的互补方面敏感的修改版本来表征准二维玻色-爱因斯坦凝聚体(BEC)中量子涡旋的低位激发。后者被证明是特别相关的研究实现时,杂质是嵌入在量子涡旋的极化子状态。我们建立的杂质变得敏感的横向波动的涡旋,通过其残余的Kelvon模式,和BEC南部-戈德斯通模式的相位波动。涡旋的存在产生了一个异常的激发光谱与有限的能隙和非线性DOS在低能量。我们发现,高灵敏度的Kelvon模式的外部电位提供了一个渠道的量子级控制杂质被困在一个漩涡。这种额外的控制通道可能对使用涡旋捕获杂质作为量子信息处理的量子比特单元的提议具有实际用途。

英文摘要:

We characterize the low-lying excitations of a quantum vortex in a quasi-two-dimensional Bose-Einstein condensate (BEC) using the standard definition of the density of states (DOS) and a modified version that is sensitive to complementary aspects of the excitation's spectrum. The latter proves to be particularly relevant to studying the polaronic state realized when an impurity is embedded in a quantum vortex. We establish that the impurity becomes sensitive to the transversal fluctuations of the vortex, via its remnant kelvon mode, and to the phase fluctuations of the BEC Nambu-Goldstone mode. The presence of the vortex yields an anomalous excitation spectrum with a finite energy gap and non-linear DOS at low energies. We find that the high sensitivity of the kelvon mode to external potentials provides a channel of quantum-level control over impurities trapped in a vortex. This extra control channel may be of practical use for the proposal of using vortex-trapped impurities as qubit units for quantum information processing.

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