Zhang Weixuan, Yuan Hao, Wang Haiteng, Di Fengxiao, Sun Na, Zheng Xingen, Sun Houjun, Zhang Xiangdong
Key Laboratory of advanced optoelectronic quantum architecture and measurements of Ministry of Education, Beijing Key Laboratory of Nanophotonics & Ultrafine Optoelectronic Systems, School of Physics, Beijing Institute of Technology, 100081, Beijing, China.
Beijing Key Laboratory of Millimeter Wave and Terahertz Techniques, School of Information and Electronics, Beijing Institute of Technology, 100081, Beijing, China.
Nat Commun. 2022 May 2;13(1):2392. doi: 10.1038/s41467-022-29895-0.
Bloch oscillations are exotic phenomena describing the periodic motion of a wave packet subjected to an external force in a lattice, where a system possessing single or multiple particles could exhibit distinct oscillation behaviors. In particular, it has been pointed out that quantum statistics could dramatically affect the Bloch oscillation even in the absence of particle interactions, where the oscillation frequency of two pseudofermions with an anyonic statistical angle of [Formula: see text] becomes half of that for two bosons. However, these statistically dependent Bloch oscillations have never been observed in experiments until now. Here, we report the experimental simulation of anyonic Bloch oscillations using electric circuits. By mapping the eigenstates of two anyons to the modes of the designed circuit simulators, the Bloch oscillations of two bosons and two pseudofermions are verified by measuring the voltage dynamics. The oscillation period in the two-boson simulator is almost twice of that in the two-pseudofermion simulator, that is consistent with the theoretical prediction. Our proposal provides a flexible platform to investigate and visualize many interesting phenomena related to particle statistics and could have potential applications in the field of the signal control.
布洛赫振荡是一种奇特的现象，描述了在晶格中受到外力作用的波包的周期性运动，在这种情况下，拥有单个或多个粒子的系统可能会表现出不同的振荡行为。特别指出的是，即使在没有粒子相互作用的情况下，量子统计也可能会显著影响布洛赫振荡，其中具有任意子统计角度为[公式：见正文]的两个准费米子的振荡频率变为两个玻色子的振荡频率的一半。然而，直到现在，这些与统计相关的布洛赫振荡从未在实验中被观测到。在此，我们报告了使用电路对任意子布洛赫振荡进行的实验模拟。通过将两个任意子的本征态映射到所设计的电路模拟器的模式，通过测量电压动态来验证两个玻色子和两个准费米子的布洛赫振荡。双玻色子模拟器中的振荡周期几乎是双准费米子模拟器中振荡周期的两倍，这与理论预测一致。我们的提议提供了一个灵活的平台，用于研究和可视化许多与粒子统计相关的有趣现象，并且可能在信号控制领域具有潜在应用。
