Nonlinear Non-Hermitian Skin Effect and Skin Solitons in Temporal Photonic Feedforward Lattices

Abstract

Here we report the experimental demonstration of the nonlinear non-Hermitian skin effect (NHSE) in an effective Kerr nonlinear temporal photonic lattice, where the high-power requirements and lack of tunability intrinsic to optical materials are overcome by an artificial nonlinearity arising from optoelectronic feedforward. Thanks to Kerr self-trapping, the nonlinear NHSE is demonstrated to possess much better localization strength and robustness at the preferred boundary compared to the linear case. Away from the preferred boundary, Kerr self-trapping can even inhibit NHSE-induced transport and form stable skin solitons. Harnessing the nonlinearity-controlled NHSE, we judiciously design an optical router with a flexibly tuned output port. Our findings promise great applications in robust signal transmission, routing, and processing.

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• Non-Hermitian off-diagonal disordered optical lattices
• Magnetic Control of the Non-Hermitian Skin Effect in Two-Dimensional Lattices
• Interplay of non-Hermitian skin effect and electronic correlations in the non-Hermitian Hubbard model via Real-space dynamical mean field theory
• Insensitive nonreciprocal edge breathers
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• Quasiperiodic Skin Criticality in an Exactly Solvable Non-Hermitian Quasicrystal
• Nonreciprocity Induced Fractional Nonlinear Thouless Pumping
• Arbitrary Control of Non-Hermitian Skin Modes via Disorder and An Electric Field