Non-Hermitian exceptional Landau quantization in electric circuits

TL;DR

This paper demonstrates how electric circuits can simulate non-Hermitian quantum systems, revealing unique Landau quantization phenomena associated with exceptional points and rings, and proposes experimental detection methods.

Contribution

It introduces a circuit-based realization of non-Hermitian Dirac and Weyl Hamiltonians with pseudo-magnetic fields, enabling exploration of novel non-Hermitian Landau quantization effects.

Findings

Identification of real energy spectrum from non-Hermitian Landau quantization

Design of detection schemes for flat bands and edge states

Avoidance of the non-Hermitian skin effect in the proposed system

Abstract

Alternating current RLC electric circuits form an accessible and highly tunable platform simulating Hermitian as well as non-Hermitian (nH) quantum systems. We propose here a circuit realization of nH Dirac and Weyl Hamiltonians subject to time-reversal invariant pseudo-magnetic field, enabling the exploration of novel nH physics. We identify the low-energy physics with a generic real energy spectrum from the nH Landau quantization of exceptional points and rings, which can avoid the nH skin effect and provides a physical example of a quasiparticle moving in the complex plane. Realistic detection schemes are designed to probe the flat energy bands, sublattice polarization, edge states protected by a nH energy-reflection symmetry, and a characteristic nodeless probability distribution.