Dynamic skin effects in non-Hermitian systems

Abstract

We study the time evolution processes of non-Hermitian systems under the open boundary condition and confirm that the dynamical skin effect exists in non-Hermitian systems analytically, and unveil the mechanism of its formation, which is caused by both the non-Hermitian skin effect and the Hermitian wave packet spreading. Furthermore, we find that in contrast to the uniform speed motion in Hermitian situations, the Gaussian wave packet can be accelerated and amplified during its time evolution in non-Hermitian systems. This additional motion is found to be responsible for the dynamic skin effect.

arXiv comment17 pages, 9 figures, including Supplemental Material

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Cited by in corpus (16)

• Topological Non-Hermitian skin effect
• Insensitive edge solitons in a non-Hermitian topological lattice
• Quantum entanglement and non-Hermiticity in free-fermion systems
• Emerging exceptional point with breakdown of skin effect in non-Hermitian systems
• Boundary sensitive Lindbladians and relaxation dynamics
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• General theory for infernal points in non-Hermitian systems
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• Theory for the spectral splitting exponent of exceptional points
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• Solution of Wave Acceleration and Non-Hermitian Jump in Nonreciprocal Lattices
• Winding-control mechanism of non-Hermitian systems