Non-Hermitian edge burst without skin localizations

Abstract

In a class of non-Hermitian quantum walk in lossy lattices with open boundary conditions, an unexpected peak in the distribution of the decay probabilities appears at the edge, dubbed edge burst. It is proposed that the edge burst is originated jointly from the non-Hermitian skin effect (NHSE) and the imaginary gaplessness of the spectrum [Wen-Tan Xue et al., Phys. Rev. Lett. 128, 120401 (2022)]. Using a particular one-dimensional lossy lattice with a nonuniform loss rate, we show that the edge burst can occur even in the absence of skin localization. Furthermore, we discuss that the edge burst may not appear if the spectrum satisfies the imaginary gaplesness condition. Aside from its fundamental importance, by removing the restrictions on observing the edge burst effect, our results open the door to broader design space for future applications of the edge burst effect.

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Cited by in corpus (4)

• Observation of non-Hermitian edge burst in quantum dynamics
• Self acceleration from spectral geometry in dissipative quantum-walk dynamics
• Imaginary gap-closed points and dynamics in a class of dissipative systems
• Investigation of a non-Hermitian edge burst with time-dependent perturbation theory