Multi-orbital tight binding model for cavity-polariton lattices

Area of Science:

• Condensed Matter Physics
• Quantum Optics
• Materials Science

Background:

• Exciton-polariton lattices are crucial for quantum simulation and novel optical devices.
• Understanding their band structure is key to controlling their properties.
• Existing models may lack efficiency or require extensive parameters.

Purpose of the Study:

• To present a minimal parameter tight-binding model for exciton-polariton lattices.
• To accurately reproduce experimental data for polariton graphene ribbons.
• To investigate the impact of key physical parameters on lattice properties.

Main Methods:

• Development of a tight-binding model using s and p non-orthogonal photonic orbitals.
• Application of the model to simulate polariton graphene ribbons.
• Analysis of the influence of non-orthogonality, inter-orbital interactions, and spin-orbit coupling.

Main Results:

• The model successfully reproduces experimental band structures for polariton graphene ribbons.
• Key parameters like non-orthogonality and spin-orbit coupling significantly affect polarization and dispersion.
• The model provides insights into bulk bands and edge states in these systems.

Conclusions:

• The presented tight-binding model offers an efficient and accurate approach to study exciton-polariton lattices.
• It provides a valuable tool for designing and understanding polariton-based quantum devices.
• The findings highlight the importance of orbital interactions and spin-orbit coupling in controlling polariton lattice behavior.