Coexistence of extended and localized states in finite-sized mosaic Wannier-Stark lattices

Abstract

Quantum transport and localization are fundamental concepts in condensed matter physics. It is commonly believed that in one-dimensional systems, the existence of mobility edges is highly dependent on disorder. Recently, there has been a debate over the existence of an exact mobility edge in a modulated mosaic model without quenched disorder, the so-called mosaic Wannier-Stark lattice. Here, we experimentally implement such disorder-free mosaic photonic lattices using a silicon photonics platform. By creating a synthetic electric field, we could observe energy-dependent coexistence of both extended and localized states in a finite number of waveguides. The Wannier-Stark ladder emerges when the resulting potential is strong enough, and can be directly probed by exciting different spatial modes of the lattice. Our studies provide the experimental proof of coexisting sets of strongly localized and conducting (though weakly localized) states in finite-sized mosaic Wannier-Stark lattices, which hold the potential to encode high-dimensional quantum resources with compact and robust structures.

References in corpus (22)

• Topological Photonics
• Anderson Transitions
• Integrated Photonic Quantum Technologies
• Nearest neighbor tight binding models with an exact mobility edge in one dimension
• One dimensional quasiperiodic mosaic lattice with exact mobility edges
• Observation of tunable mobility edges in generalized Aubry-André lattices
• Localization in one-dimensional incommensurate lattices beyond the Aubry-André model
• Quantum Correlations in Two-Particle Anderson Localization
• Exact mobility edges, $\mathcal{P}\mathcal{T}$-symmetry breaking and skin effect in one-dimensional non-Hermitian quasicrystals
• Anomalous mobility edges in one-dimensional quasiperiodic models
• Observation of interaction-induced mobility edge in a disordered atomic wire
• Self-dual quasiperiodic systems with power-law hopping
• Robustness of delocalization to the inclusion of soft constraints in long-range random models
• Drive Induced Delocalization in Aubry-André Model
• Mobility edge and multifractality in a periodically driven Aubry-André model
• Emergent fractal phase in energy stratified random models
• Critical-to-Insulator Transitions and Fractality Edges in Perturbed Flatbands
• Scalable generation and detection of on-demand W states in nanophotonic circuits
• Anisotropy-mediated reentrant localization
• Broadband SiN asymmetric directional coupler for 840 nm operation
• Flat Band Induced Metal-Insulator Transitions for Weak Magnetic Flux and Spin-Orbit Disorder
• Quasiperiodicity hinders ergodic Floquet eigenstates

Cited by in corpus (13)

• Emergence of multifractality through cascade-like transitions in a mosaic interpolating Aubry-André-Fibonacci chain
• 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
• Coexistence of ergodic and weakly ergodic states in finite-height Wannier-Stark ladders
• Fate of pseudo mobility-edge and multiple states in non-Hermitian Wannier-Stark lattice
• Resonances, mobility edges and gap-protected Anderson localization in generalized disordered mosaic lattices
• Coexistence of insulating phases in confined fermionic chains with a Wannier-Stark potential
• Types of dynamical behavior in a quasiperiodic mosaic lattice
• Anomalous energy correlations and spectral form factor in the nonergodic phase of the $\beta$-ensemble
• Ergodicity-breaking phase diagram and fractal dimensions in long-range models with generically correlated disorder
• Exact Mobility Edges in a Disorder-Free Dimerized Stark Lattice with Effective Unbounded Hopping
• Design Principles for Enhanced Quantum Transport with Site-Dependent Noise
• Dissipation induced ergodic-nonergodic transitions in finite-height mosaic Wannier-Stark lattices