CUT-E as a 1/N expansion for multiscale molecular polariton dynamics

Area of Science:

• Quantum optics
• Molecular physics
• Condensed matter theory

Background:

• Molecular polaritons emerge from strong coupling between molecules and optical modes.
• Describing these systems is challenging due to their multiscale nature and collective effects.

Purpose of the Study:

• To provide a novel derivation of the Collective Dynamics using Truncated Equations (CUT-E) formalism.
• To connect CUT-E with established physics concepts like bosonization and 1/N expansions.
• To explore new approximations and extensions of the CUT-E formalism.

Main Methods:

• Novel derivation of CUT-E using bosonization techniques.
• Exploitation of permutational symmetries for problem simplification.
• Derivation of systematic finite-N corrections based on the N → ∞ limit.

Main Results:

• A new theoretical framework for describing molecular polaritons.
• Demonstrated connections between CUT-E and 1/N expansions.
• Exploration of various approximations and extensions for high-excitation manifolds.

Conclusions:

• The revised CUT-E formalism offers a powerful tool for studying molecular polaritons.
• The approach provides systematic corrections for finite numbers of molecules.
• This work opens avenues for exploring complex quantum phenomena in molecular systems.