Quick Navigation

Topics

Quantum Algorithms

Experimental realization of the complete seven-phase Anderson-localization landscape

arXiv
Authors: Yao Qin, Chao Yang, Yuzhe Zhang, Yucheng Wang, Jingyun Fan

Year

2026

Paper ID

69155

Status

Preprint

Abstract Read

~2 min

Abstract Words

159

Citations

N/A

Abstract

Anderson localization has evolved far beyond the conventional dichotomy between extended and localized states. Modern localization theory predicts a complete transport hierarchy comprising extended, critical, and localized phases together with all coexistence phases among them, forming a seven-phase Anderson-localization landscape. Despite its fundamental importance, this hierarchy has never been experimentally realized within a single system. Here we realize the complete seven-phase Anderson-localization landscape in a one-dimensional Floquet photonic lattice. By engineering quasiperiodic hopping profiles containing inhomogeneously distributed hopping zeros, we generate critical states and enable their coexistence with extended and localized sectors. The resulting transport regimes are directly resolved through their distinct spatiotemporal dynamics, including ballistic expansion, confined critical oscillations, and persistent localization. We observe all seven phases, including the elusive triply coexisting extended-critical-localized phase, and experimentally track the phase transitions connecting them. Our results establish the first complete experimental map of the Anderson-localization landscape and provide a unified platform for investigating mobility edges, multifractality, and programmable coherent transport.

Why This Paper Matters

  • It adds a 2026 reference point for readers tracking recent quantum research.
  • Anderson localization has evolved far beyond the conventional dichotomy between extended and localized states.

Paper Tools

Become a member to use research tools

Sign in to open papers, visit source links, share, cite, compare, copy DOI links, request category corrections, and build your reading list.

Show Paper arXiv Publisher Share Cite This Paper Copy URL Compare Copy DOI Add to Reading List Category Correction Request

References & Citation Signals

Local Citation Graph (Related-Paper Links)

Current Paper #69155 #78853 When irrelevance governs: dissi... #78852 Quantum Information-Theoretic A... #78851 Quantum-assisted rendezvous on ... #78850 An Instability of the Quantum M...

External citation index: OpenAlex citation signal

Community Reactions

Quick sentiment from readers on this paper.

Score: 0
Likes: 0 Dislikes: 0

Sign in to react to this paper.

Discussion & Reviews (Moderated)

Average Rating: 0.0 / 5 (0 ratings)

No written reviews yet.