Non-Hermitian Exceptional Landau Quantization in Electric Circuits.

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 pseudomagnetic 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.