Polariton Localization and Dispersion Properties of Disordered Quantum Emitters in Multimode Microcavities

Abstract

Experiments have demonstrated that the strong light-matter coupling in polaritonic microcavities significantly enhances transport. Motivated by these experiments, we have solved the disordered multimode Tavis-Cummings model in the thermodynamic limit and used this solution to analyze its dispersion and localization properties. The solution implies that wave-vector-resolved spectroscopic quantities can be described by single-mode models, but spatially resolved quantities require the multimode solution. Nondiagonal elements of the Green's function decay exponentially with distance, which defines the coherence length. The coherence length is strongly correlated with the photon weight and exhibits inverse scaling with respect to the Rabi frequency and an unusual dependence on disorder. For energies away from the average molecular energy $E_{\text{M}}$ and above the confinement energy $E_C$, the coherence length rapidly diverges such that it exceeds the photon resonance wavelength ${\lambda }_0$. The rapid divergence allows us to differentiate the localized and delocalized regimes and identify the transition from diffusive to ballistic transport.

17 pages including Supplementary Materials; 9 figures; comments are welcome

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Cited by in corpus (25)

• Enhanced Excitation Energy Transfer under Strong Light-Matter Coupling: Insights from Multi-Scale Molecular Dynamics Simulations
• When do molecular polaritons behave like optical filters?
• Investigating the Collective Nature of Cavity Modified Chemical Kinetics under Vibrational Strong Coupling
• Vibrational polariton transport in disordered media
• Machine Learning for Polaritonic Chemistry: Accessing chemical kinetics
• Extracting accurate light-matter couplings from disordered polaritons
• Collective Polaritonic Effects on Chemical Dynamics Suppressed by Disorder
• Coherent transient exciton transport in disordered polaritonic wires
• Polaritonic Quantum Matter
• Photochemical Initiation of Polariton Propagation
• Boundary sensitive Lindbladians and relaxation dynamics
• Blackbody radiation and thermal effects on chemical reactions and phase transitions in cavities
• Integrability, multifractality, and two-photon dynamics in disordered Tavis-Cummings models
• Liouvillian exceptional points of an open driven two-level system
• Exciton Delocalization Suppresses Polariton Scattering
• Multiple Interacting Photonic Modes in Strongly Coupled Organic Microcavities
• Disentangling enhanced diffusion and ballistic motion of excitons coupled to Bloch surface waves with molecular dynamics simulations
• Dissecting Exciton-Polariton Transport in Organic Molecular Crystals: Emerging Conductivity Assisted by Intermolecular Vibrational Coupling
• Microscopic Theory of Polaron-Polariton Dispersion and Propagation
• Coherent spatial control of wave packet dynamics on quantum lattices
• Long-range molecular energy transfer mediated by strong coupling to plasmonic topological edge states
• Interplay between Static and Dynamic Disorder: Contrasting Effects on Dark State Population inside a Cavity
• Mirror-induced effects in cavity polaritonics: Influence on edge states
• Coherent nonlinear optical probe for cavity-dressed vibrational mode mixing: Multidimensional double-quantum coherence and photon-echo spectroscopy
• Elucidating the Synergetic Interplay between Average Intermolecular Coupling and Coupling Disorder in Short-Time Exciton Transfer