Dynamical signature of moire pattern in non-Hermitian ladder

Abstract

We study the dynamical behavior of a non-Hermitian moire superlattice system, which consists of two-coupled SSH chains with staggered imaginary on-site potentials. There are two main spatial regions, in which systems are in unbroken symmetric phases with fully real spectrum, appearing periodically along the ladder. We show that the two quantum phases are dimerized and tetramerized, which determine the distinct dynamical behaviors. Dirac probability can oscillate periodically, increase quadratically and increase exponentially, which correspond to the unbroken phase, exceptional point and the broken phase of the tetramerized region. In comparison, the Dirac probability can exhibit high-frequency oscillation in the dimerized region. These phenomena demonstrate the dynamical signature and provide insightful information of the moire pattern in the non-Hermitian regime.

arXiv comment10 pages, 5 figures

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• Exceptional point induced lasing dynamics in a non-Hermitian system
• Floquet control of global $PT$ symmetry in 2D arrays of quadrimer waveguides
• Hidden exceptional point, localization-delocalization phase transition in Hermitian bosonic Kitaev model
• Flat band and $\eta$-pairing states in one-dimensional Moiré Hubbard model
• Resonant-amplified and invisible Bragg scattering based on spin coalescing modes
• Moiré pattern of spin liquid and Neel magnet in a Kitaev chain
• Non-Abelian geometry, topology, and dynamics of a nonreciprocal Su-Schrieffer-Heeger ladder
• Dynamic Moiré-like pattern in non-Hermitian Wannier-Stark ladder system
• Higher order coherence as witness of exceptional point in Hermitian bosonic Kitaev dimer