Self-sustained emission in semi-infinite non-Hermitian systems at the exceptional point

Abstract

Complex potential and non-Hermitian hopping amplitude are building blocks of a non-Hermitian quantum network. Appropriate configuration, such as PT-symmetric distribution, can lead to the full real spectrum. To investigate the underlying mechanism of this phenomenon, we study the phase diagram of a semi-infinite non-Hermitian system. It consists of a finite non-Hermitian cluster and a semi-infinite lead. Based on the analysis of the solution of the concrete systems, it is shown that it can have the full real spectrum without any requirements on the symmetry and the wave function within the lead becomes a unidirectional plane wave at the exceptional point. This universal dynamical behavior is demonstrated as the persistent emission and reflectionless absorption of wave packets in the typical non-Hermitian systems containing the complex on-site potential and non-Hermitian hopping amplitude.

10 pages, 8 figures

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Cited by in corpus (29)

• Reciprocal and unidirectional scattering of parity-time symmetric structures
• Asymmetric transmission through a flux-controlled non-Hermitian scattering center
• Non-Hermitian tight-binding network engineering
• Momentum-independent reflectionless transmission in the non-Hermitian time-reversal symmetric system
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• Dynamical signature of moire pattern in non-Hermitian ladder
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• Two-dimensional anisotropic non-Hermitian Lieb lattice
• Quantum transport in non-Hermitian impurity array
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• Complete particle-pair annihilation as a dynamical signature of the spectral singularity
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• Resonant-amplified and invisible Bragg scattering based on spin coalescing modes
• An attractor dynamics in a non-Hermitian two-level system
• Coalescing hardcore-boson condensate states with nonzero momentum
• Semi-localization transition driven by a single asymmetrical tunneling
• Coherent confinement and unidirectional dynamics of a wave packet induced by a non-Hermitian Su-Schrieffer-Heeger segment
• Non-Hermitian interaction of a discrete state with a continuum
• EPR pairing dynamics in Hubbard model with resonant $U$
• Spectral singularity in composite systems and simulation of a resonant lasing cavity
• Exceptional spectrum and dynamic magnetization
• Higher order coherence as witness of exceptional point in Hermitian bosonic Kitaev dimer