Non-Hermitian Floquet invisibility

Abstract

Wave transport and scattering in open systems can be profoundly affected by non- Hermitian dynamics. In this work we consider wave scattering in a one-dimensional tight-binding lattice with a low-frequency harmonically-vibrating complex site potential. Floquet scattering is shown to be suppressed in a range of the spectral lattice band, which is limited by a singularity in the spectral transmission/reflection amplitudes for inelastic scattering channels. Invisibility over the entire spectral band is found when the singularity is pushed at the edge of the Brillouin zone, which requires a modulation frequency larger than the width of the tight-binding lattice band. Remarkably, invisibility is found to persist for multiple oscillating lattice impurities.

7 pages, 5 figures

References in corpus (7)

• Making Sense of Non-Hermitian Hamiltonians
• The physics of exceptional points
• Driven quantum transport on the nanoscale
• PT-Symmetric Phonon Laser
• Stabilizing Non-Hermitian Systems by Periodic Driving
• Bidirectional invisibility in Kramers-Kronig optical media
• High-frequency blockade in a tight-binding one-dimensional lattice with single vibrating atomic state

Cited by in corpus (11)

• Topological states of non-Hermitian systems
• Non-Reciprocal gain in non-Hermitian time-Floquet Systems
• Non-Hermitian scattering on a tight-binding lattice
• Nonequilibrium Josephson diode effect in periodically driven SNS junctions
• Anomalous Floquet tunneling in uniaxially strained graphene
• Non-Hermitian time-dependent perturbation theory: asymmetric transitions and transitionless interactions
• Connecting active and passive $\mathcal{P}\mathcal{T}$-symmetric Floquet modulation models
• Rapidly-oscillating scatteringless non-Hermitian potentials and the absence of Kapitza stabilization
• Non-Hermitian invisibility in tight-binding lattices
• Scattering of accelerated wave packets
• Non-hermitian time evolution: from static to parametric instability