Hopf Bifurcation of Nonlinear Non-Hermitian Skin Effect
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View abstract on PubMed
Summary
This summary is machine-generated.Nonlinearity can destabilize the non-Hermitian skin effect, leading to delocalized states. This study reveals Hopf bifurcation as a critical phenomenon in nonlinear non-Hermitian systems.
Area Of Science
- Physics
- Topological Systems
- Non-Hermitian Physics
Background
- The non-Hermitian skin effect is a unique phenomenon in non-Hermitian systems, causing anomalous localization of eigenstates.
- Its behavior under nonlinear conditions remains largely unexplored, despite its importance in open classical and quantum systems.
Purpose Of The Study
- To investigate the influence of nonlinearity on the non-Hermitian skin effect.
- To reveal critical phenomena arising from the interplay between non-Hermiticity and nonlinearity.
Main Methods
- Theoretical analysis of a nonlinear extension of the Hatano-Nelson model.
- Investigation in both continuum and lattice scenarios.
- Identification of Hopf bifurcation as a key phenomenon.
Main Results
- Nonlinearity destabilizes non-Hermitian skin states, leading to delocalized states associated with limit cycles.
- Algebraically localized critical skin effect observed at the Hopf bifurcation point.
- Demonstration of these phenomena in the nonlinear Hatano-Nelson model.
Conclusions
- Nonlinearity plays a significant role in the non-Hermitian skin effect.
- Rich phenomena emerge from the interplay of non-Hermiticity and nonlinearity.
- Hopf bifurcation is a critical phenomenon unique to nonlinear non-Hermitian systems.
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