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.

17 pages, 9 figures, including Supplemental Material

References in corpus (6)

• Topological Origin of Non-Hermitian Skin Effects
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• Topological phase transition in non-Hermitian quasicrystals
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Cited by in corpus (15)

• 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
• Constraints of internal symmetry on the non-Hermitian skin effect and bidirectional skin effect under the action of the Hermitian conjugate of time-reversal symmetry
• Complex semiclassical theory for non-Hermitian quantum systems
• Localization and mobility edges in non-Hermitian continuous quasiperiodic systems
• Harnessing Nonlinearity to Tame Wave Dynamics in Nonreciprocal Active Systems
• General theory for infernal points in non-Hermitian systems
• Real-time edge dynamics of non-Hermitian lattices
• Theory for the spectral splitting exponent of exceptional points
• Defect-driven incoherent skin localization
• Solution of Wave Acceleration and Non-Hermitian Jump in Nonreciprocal Lattices
• Winding-control mechanism of non-Hermitian systems