Non-Hermitian reshaping of high-order Landau modes

TL;DR

This paper demonstrates a method to manipulate high-order Landau modes using non-Hermitian electric circuits, enabling control over their spatial distributions and potential applications in frequency multiplexing.

Contribution

It introduces a universal approach to reshape high-order Landau modes in non-Hermitian systems through simultaneous magnetic, electric, and imaginary momentum engineering.

Findings

Experimentally realized pseudomagnetic and pseudoelectric fields in a non-Hermitian circuit platform.

Observed multi-frequency single-peak localization of high-order Landau modes.

Provided a new method for manipulating Landau modes with potential applications in wave control.

Abstract

When charged particles are subjected to strong magnetic fields, they form discrete energy levels known as Landau levels. The Landau levels consist of a series of degenerate states of Landau modes, making them a promising platform for large-capacity information processing. However, to date, exploiting the high-order Landau modes and control their spatial distributions has remained elusive. Here, we propose to construct magnetic fields, electric fields, and imaginary momentum simultaneously to reshape high-order Landau modes in non-Hermitian systems. By building a non-Hermitian electric circuit platform, we experimentally realize pseudomagnetic fields via inhomogeneous coupling and pseudoelectric fields via a gradient on-site potential, while simultaneously introducing an imaginary momentum via non-reciprocal coupling. We directly observe multi-frequency single-peak localization of high-order Landau modes. Our work provides a universal method for manipulating high-order Landau modes and exploring applications in nonHermitian systems, such as frequency multiplexing and wave packet reshaping.