Probing multi-mobility edges in quasiperiodic mosaic lattices

Abstract

The mobility edge (ME) is a crucial concept in understanding localization physics, marking the critical transition between extended and localized states in the energy spectrum. Anderson localization scaling theory predicts the absence of ME in lower dimensional systems. Hence, the search for exact MEs, particularly for single particles in lower dimensions, has recently garnered significant interest in both theoretical and experimental studies, resulting in notable progress. However, several open questions remain, including the possibility of a single system exhibiting multiple MEs and the continual existence of extended states, even within the strong disorder domain. Here, we provide experimental evidence to address these questions by utilizing a quasiperiodic mosaic lattice with meticulously designed nanophotonic circuits. Our observations demonstrate the coexistence of both extended and localized states in lattices with broken duality symmetry and varying modulation periods. By single site injection and scanning the disorder level, we could approximately probe the ME of the modulated lattice. These results corroborate recent theoretical predictions, introduce a new avenue for investigating ME physics, and offer inspiration for further exploration of ME physics in the quantum regime using hybrid integrated photonic devices.

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• Topological Photonics
• Topological Photonics
• Anderson Transitions
• Anderson localization of a non-interacting Bose-Einstein condensate
• Integrated Photonic Quantum Technologies
• Nonlinear topological photonics
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• Exact new mobility edges between critical and localized states
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• Duality in power-law localization in disordered one-dimensional systems
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• Quantum Mpemba effect of localization in the dissipative mosaic model
• Observation of reentrant metal-insulator transition in a random-dimer disordered SSH lattice
• The fundamental localization phases in quasiperiodic systems: A unified framework and exact results
• Non-equilibrium dynamics of localization phase transition in the non-Hermitian Disorder-Aubry-André model
• Exact mobility line and mobility ring in the complex energy plane of a flat band lattice with a non-Hermitian quasiperiodic potential
• Exact multiple complex mobility edges and quantum state engineering in coupled 1D quasicystals
• Exact mobility edges in quasiperiodic network models with slowly varying potentials
• Types of dynamical behavior in a quasiperiodic mosaic lattice
• Generalized Aubry-André-Harper model with power-law quasiperiodic potentials
• Experimental observation of exact quantum critical states
• Anomalous energy correlations and spectral form factor in the nonergodic phase of the $\beta$-ensemble
• Reentrant topology and reverse pumping in a quasiperiodic flux ladder
• Ergodicity-breaking phase diagram and fractal dimensions in long-range models with generically correlated disorder
• Topological Anderson insulator and reentrant topological transitions in a mosaic trimer lattice
• Exact mobility edges in a slowly varying quasiperiodic ladder model