Probing multi-mobility edges in quasiperiodic mosaic lattices.

Area of Science:

• Condensed Matter Physics
• Quantum Mechanics
• Photonics

Background:

• The mobility edge (ME) defines the transition between extended and localized states in disordered systems.
• Anderson localization theory suggests MEs are absent in lower dimensions, posing a challenge for understanding quantum transport.

Purpose of the Study:

• To experimentally investigate the existence of multiple mobility edges (MEs) and extended states in disordered systems.
• To explore the role of broken duality symmetry and disorder in localization phenomena.

Main Methods:

• Utilized quasiperiodic mosaic lattices with nanophotonic circuits.
• Employed single-site injection and controlled disorder levels to probe the mobility edge.
• Investigated systems with broken duality symmetry and varying modulation periods.

Main Results:

• Provided experimental evidence for the coexistence of extended and localized states.
• Demonstrated the possibility of multiple mobility edges within a single system.
• Successfully probed the mobility edge in modulated lattices.

Conclusions:

• The findings challenge the traditional understanding of Anderson localization and the absence of MEs in lower dimensions.
• The study validates recent theoretical predictions and introduces a novel experimental platform for ME research.
• Offers inspiration for exploring quantum localization in hybrid integrated photonic devices.