Polariton-polariton scattering in microcavities: A microscopic theory
arXiv:0902.1410 · doi:10.1103/PhysRevB.80.155306
Abstract
We apply the fermion commutation technique for composite bosons to polariton-polariton scattering in semiconductor planar microcavities. Derivations are presented in a simple and physically transparent fashion. A procedure of orthogonolization of the initial and final two-exciton state wavefunctions is used to calculate the effective scattering matrix elements and the scattering rates. We show how the bosonic stimulation of the scattering appears in this full fermionic approach whose equivalence to the bosonization method is thus demonstrated in the regime of low exciton density. We find an additional contribution to polariton-polariton scattering due to the exciton oscillator strength saturation, which we analyze as well. We present a theory of the polariton-polariton scattering with opposite spin orientations and show that this scattering process takes place mainly via dark excitonic states. Analytical estimations of the effective scattering amplitudes are given.
Theoretical paper on polariton-polariton scattering in planar microcavities. The new version contains a slightly modified abstract and a revised introduction. Typos have been corrected wherever spotted. 16 pages
References in corpus (13)
- Spontaneous Polarisation Build up in a Room Temperature Polariton Laser
- Polarization multistability of cavity polaritons
- Analysis of the exciton-exciton interaction in semiconductor quantum wells
- Optical bistability in semiconductor microcavities in the nondegenerate parametric oscillation regime: analogy with the optical parametric oscillator
- Bose glass and superfuid phases of cavity polaritons
- Exciton-exciton scattering: Composite boson versus elementary boson
- Influence of exciton-exciton correlations on the polarization characteristics of the polariton amplification in semiconductor microcavities
- Radiative corrections to the excitonic molecule state in GaAs microcavities
- Polariton-polariton scattering: exact results through a novel approach
- Scattering rates and lifetime of exact and boson excitons
- Dynamics-Controlled Truncation Scheme for Nonlinear Dynamics in Semiconductor Microcavities
- Nonlinear effects in spin relaxation of cavity polaritons
- Quantum Monte Carlo Simulation of Exciton-Exciton Scattering in a GaAs/AlGaAs Quantum Well
Cited by in corpus (44)
- Quantum fluids of light
- Polaritonic Feshbach Resonance
- Direct measurement of polariton-polariton interaction strength in the Thomas-Fermi regime of exciton-polariton condensation
- Exciton-exciton interaction in transition metal dichalcogenide monolayers and van der Waals heterostructures
- Dark Solitons in Waveguide Polariton Fluids Shed Light on Interaction Constants
- Spin rings in bi-stable planar semiconductor microcavities
- Exciton-exciton interaction beyond the hydrogenic picture in a MoSe monolayer in the strong light-matter coupling regime
- Spin Selective Filtering of Polariton Condensate Flow
- Microscopic description of exciton-polaritons in microcavities
- Optically trapped polariton condensates as semiclassical time crystals
- Polariton interactions in microcavities with atomically thin semiconductor layers
- Spin noise of exciton-polaritons in microcavities
- A simple model for interactions and corrections to the Gross-Pitaevskii Equation
- Optically and electrically controlled polariton spin transistor
- Spontaneous polariton currents in periodic lateral chains
- Spin anisotropic interactions of lower-polaritons in the vicinity of polaritonic Feshbach resonance
- Topological spin Meissner effect in exciton-polariton spinor condensate: constant amplitude solutions, half-vortices and symmetry breaking
- Multistability of cavity exciton-polaritons affected by the thermally generated exciton reservoir
- Tunable optical nonlinearity for TMD polaritons dressed by a Fermi sea
- Exciton routing in the heterostructure of TMD and paraelectrics
- Theory of polariton-electron interactions in semiconductor microcavities
- Nanosecond-scale magneto-exciton energy oscillations in quantum wells
- Microscopic calculation of polariton scattering in semiconductor microcavities
- Many-body physics of intersubband polaritons
- Exciton-exciton and exciton-charge carrier interaction and the exciton collisional broadening in GaAs/AlGaAs quantum wells
- Voltage control of the spin-dependent interaction constants of Dipolaritons and its application to Optical Parametric Oscillator
- Polariton-polariton interaction beyond the Born approximation: A toy model study
- Interlayer exciton polaritons in homobilayers of transition metal dichalcogenides
- Elementary excitations in spinor polariton- electron systems
- Effective attractive polariton-polariton interaction mediated by the exciton reservoir
- Spin waves in semiconductor microcavities
- Spin resonance induced by a mechanical rotation of a polariton condensate
- Polaronic polariton quasiparticles in a dark excitonic medium
- Polariton gap and gap-stripe solitons in Zeeman lattices
- Microscopic theory of nonlinear phase space filling in polaritonic lattices
- Microscopic theory of polariton-polariton interactions
- Rydberg excitons and polaritons in monolayer transition metal dichalcogenides in a magnetic field
- Two-dimensional exciton-polariton interactions beyond the Born approximation
- Theory of nonlinear excitonic response of hybrid organic perovskites in the regime of strong light-matter coupling
- Ultimate photo-induced Kerr rotation achieved in semiconductor microcavities
- Valley polarization fluctuations, bistability, and switching in two-dimensional semiconductors
- Adiabatic theory of one-dimensional curved polariton waveguides
- Discrete chiral ballistic polariton laser
- Magnetic field control of intersubband polaritons in narrow-gap semiconductors