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Observation of delocalization transition in topological waveguide arrays with long-range interactions
Next-nearest-neighbor interactions can disrupt topological edge states in photonic lattices. This study shows these interactions can prevent edge state localization, even in topologically nontrivial phases.
Area of Science:
- Condensed Matter Physics
- Photonic Materials
- Topological Insulators
Background:
- Topological edge states are crucial in topological insulators.
- Long-range interactions in real systems can alter these edge states.
- The Su-Schrieffer-Heeger (SSH) model is a key framework for studying topological phenomena.
Purpose of the Study:
- To investigate the impact of next-nearest-neighbor (NNN) interactions on topological properties within the SSH model.
- To experimentally verify theoretical predictions regarding edge state behavior under long-range interactions.
- To explore the delocalization of light in photonic lattices with nontrivial topological phases.
Main Methods:
- Utilizing photonic lattices to model the SSH Hamiltonian.
- Introducing and varying the strength of NNN interactions in integrated photonic waveguide arrays.
- Measuring survival probabilities at the lattice boundaries to probe edge state localization.
- Comparing experimental observations with theoretical predictions.
Main Results:
- Observed a delocalization transition of light in SSH lattices with nontrivial topological phases.
- Demonstrated that NNN interactions significantly influence topological edge states.
- Confirmed that edge state localization can be absent in the presence of NNN interactions within nontrivial topological phases.
- Experimental results align well with theoretical predictions.
Conclusions:
- NNN interactions play a critical role in modifying the behavior of topological edge states.
- The absence of edge state localization in topologically nontrivial phases is possible due to NNN interactions.
- This research offers a novel experimental approach to study the interplay between long-range interactions and localized states in topological systems.
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