Dynamically Emerging Topological Phase Transitions in Nonlinear Interacting Soliton Lattices
Open accessAbstract
We demonstrate dynamical topological phase transitions in evolving Su-Schrieffer-Heeger lattices made of interacting soliton arrays, which are entirely driven by nonlinearity and thereby exemplify an emergent nonlinear topological phenomenon. The phase transitions occur from the topologically trivial-to-nontrivial phase in periodic succession with crossovers from the topologically nontrivial-to-trivial regime. The signature of phase transition is the gap-closing and reopening point, where two extended states are pulled from the bands into the gap to become localized topological edge states. Crossovers occur via decoupling of the edge states from the bulk of the lattice.
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If perturbations breaking chiral symmetry are sufficiently small, the characteristic features of the topological states will be inherited and present in the perturbed system.
“However, if they are sufficiently small, the characteristic features of the topological states will be inherited and present in the perturbed system; see the supplemental material 8 to [53].”
From Anyons, Zitterbewegung and dynamical phase transitions in topologically nontrivial systems (2022) · cites this paper as [53]
The results presented in a spatial optical system are accessible also in nonlinear fiber optics with realistic parameter values.
“Our results are presented in a spatial optical system; however, they are accessible also in nonlinear fiber optics with realistic parameter values [143] (see supplemental material [53]).”
From Anyons, Zitterbewegung and dynamical phase transitions in topologically nontrivial systems (2022) · cites this paper as [53]
Our copy describes a spatial optical-beam model in the section labeled Abstract, but does not say that its results are accessible in nonlinear fiber optics with realistic parameter values. Searches for fiber implementation and realistic parameters found only a reference to a nonlinear fiber optics textbook, not a feasibility assessment. The indexed passages provide no page numbers. (LLM, conf=0.72)
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Anyons, Zitterbewegung and dynamical phase transitions in topologically nontrivial systems
Lunić, F. (2022) · arXiv · doi:10.48550/arxiv.2208.04270
Self-citation
- Authors
- Bongiovanni, D., Jukić, D., Hu, Z., Lunić, F., Hu, Y., Song, D., Morandotti, R., Chen, Z., & Buljan, H.
- Affiliations
- Nankai University (CN)
- University of Zagreb (HR)
- University of Electronic Science and Technology of China (CN)
- ORCID
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2021-10-29
- Volume
- 127
- Issue
- 18
- Pages
- 184101-184101
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W3211299282
- Cited by
- 29
- References
- 5
- Citations by year
- 2026: 7 · 2025: 6 · 2024: 5 · 2023: 5 · 2022: 6
- FWCI
- 1.75
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- Figshare (submittedVersion, cc-by)
- arXiv (Cornell University)
- Funders
- European Commission
- European Regional Development Fund (KK.01.1.1.01.0004)
- Hrvatska Zaklada za Znanost (IP-2016-06-5885)
- National Key Research and Development Program of China (2017YFA0303800)
- National Natural Science Foundation of China (11922408, 91750204, 11674180)
- Higher Education Discipline Innovation Project (B07013)
- Natural Sciences and Engineering Research Council of Canada
- Canada Research Chairs
- QuantiXLie Center of Excellence
- Croatian Government
- PCSIRT
- 66 Postdoctoral Science Grant of China
- Croatian-Chinese Scientific & Technological Cooperation
- Topics
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Topological Materials and Phenomena
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Non-Hermitian Physics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Nonlinear Photonic Systems
- Keywords
- Su-Schrieffer-Heeger lattice, soliton lattice, topological edge states, extended states
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