Observation of anyonic Bloch oscillations

TL;DR

This paper reports the first experimental simulation of anyonic Bloch oscillations using electric circuits, demonstrating how quantum statistics influence oscillation periods in a controllable setup.

Contribution

It introduces a novel electric circuit platform to simulate and observe anyonic Bloch oscillations, confirming theoretical predictions about statistical effects on oscillation periods.

Findings

Oscillation period for two bosons is nearly twice that for two pseudofermions.

Experimental results match theoretical predictions of statistical influence.

Electric circuits can effectively simulate anyonic quantum phenomena.

Abstract

Bloch oscillations are exotic phenomena describing the periodic motion of a wave packet subjected to the external force in a lattice, where the system possessing single- or multipleparticles could exhibit distinct oscillation behaviors. In particular, it has been pointed out that quantum statistics could dramatically affected the Bloch oscillation even in the absence of particle interactions, where the oscillation frequency of two pseudofermions with the anyonic statistical angle being pi becomes half of that for two bosons. However, these statisticdependent Bloch oscillations have never been observed in experiments up to now. Here, we report the first experimental simulation of anyonic Bloch oscillations using electric circuits. By mapping eigenstates of two anyons to modes of designed circuit simulators, the Bloch oscillation of two bosons and two pseudofermions are verified by measuring the voltage dynamics. It is found that the oscillation period in the two-boson simulator is almost twice of that in the two-pseudofermion simulator, which 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 novelty signal control.