Microcavity polaritons in disordered exciton lattices

Abstract

We investigate the interaction of excitons in a two dimensional lattice and photons in a planar cavity in the presence of disorder. The strong exciton-photon coupling is described in terms of polariton quasi-particles, which are scattered by a disorder potential. We consider three kinds of disorder: (a) inhomogeneous exciton energy, (b) inhomogeneous exciton-photon coupling and (c) deviations from an ideal lattice. These three types of disorder are characteristic of different physical systems, and their separate analysis gives insight on the competition between randomness and light-matter coupling. We consider conventional planar polariton structures (with excitons resonant to photon modes emitting normal to the cavity) and Bragg polariton structures, in which excitons in a lattice are resonant with photon modes at a finite angle satisfying the Bragg condition. We calculate the absorption spectra in the normal direction and at the Bragg angle by a direct diagonalization of the exciton-photon Hamiltonian. We found that in some cases weak disorder increases the light-matter coupling and leads to a larger polariton splitting. Moreover, we found that the coupling of excitons and photons is less sensitive to disorder of type (b) and (c). This suggests that polaritonic structures realized with impurities in a semiconductor or with atoms in optical lattices are good candidate for the observation of some of the Bragg polariton features.

8 pages, 5 figures

References in corpus (12)

• Electric Field Effect in Atomically Thin Carbon Films
• Two-Dimensional Gas of Massless Dirac Fermions in Graphene
• Collective coherence in planar semiconductor microcavities
• What Determines Inhomogeneous Line Widths in Semiconductor Microcavities?
• Quantum theory of exciton-photon coupling in photonic crystal slabs with embedded quantum wells
• Optical exciton Aharonov-Bohm effect, persistent current, and magnetization in semiconductor nanorings of type I and II
• Long-range spin-qubit interaction mediated by microcavity polaritons
• Scanning-probe spectroscopy of semiconductor donor molecules
• Light-mass Bragg cavity polaritons in planar quantum dot lattices
• Non-circular semiconductor nanorings of type I and II: Emission kinetics in the exciton Aharonov-Bohm effect
• Quantum Theory of a Resonant Photonic Crystal
• Light propagation in atomic Mott Insulators

Cited by in corpus (8)

• Magnetic strong coupling in a spin-photon system and transition to classical regime
• Controlled engineering of extended states in disordered systems
• Complete absence of localization in a family of disordered lattices
• Engineering bands of extended electronic states in a class of topologically disordered and quasiperiodic lattices
• Absolutely continuous energy bands in the electronic spectrum of quasiperiodic ladder networks
• Semiclassical modeling of coupled quantum dot-cavity systems: From polariton-like dynamics to Rabi oscillations
• Multi-spin errors in the optical control of a spin quantum memory
• Bose condensation of squeezed light