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Polariton-polariton scattering in microcavities: A microscopic theory

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TLDR
In this paper, the fermion commutation technique for composite bosons was applied to polariton-polariton scattering in semiconductor planar microcavities, and a procedure of orthogonolization of the initial and final two-exciton state wave functions was used to calculate the effective scattering matrix elements and the scattering rates.
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 wave functions 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.

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Quantum fluids of light

TL;DR: In this paper, a review of recent theoretical and experimental advances in the fundamental understanding and active control of quantum fluids of light in nonlinear optical systems is presented, from the superfluid flow around a defect at low speeds to the appearance of a Mach-Cherenkov cone in a supersonic flow, to the hydrodynamic formation of topological excitations such as quantized vortices and dark solitons at the surface of large impenetrable obstacles.
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Polariton condensation in solitonic gap states in a one-dimensional periodic potential

TL;DR: This work reports spontaneous condensation in localized gap soliton states in a one-dimensional microcavity with a periodic modulation in a building block for polaritonic circuits, where propagation and localization are optically controlled and reconfigurable.
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Polaritonic Feshbach resonance

TL;DR: In this article, a Feshbach resonance based on the polariton spinor interactions in a semiconductor microcavity was demonstrated, where the energy of two interacting free particles came into resonance with a molecular bound state.
References
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Book

Quantum mechanics: Non-relativistic theory,

TL;DR: The basic concepts of quantum mechanics Energy and momentum Schrodinger's equation Angular momentum Perturbation theory Spin The identity of particles The atom The theory of symmetry Polyatomic molecules Motion in a magnetic field Nuclear structure Elastic collisions Mathematical appendices.
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Exciton-exciton interactions in quantum wells: Optical properties and energy and spin relaxation

TL;DR: In this paper, a gas of interacting excitons in quantum wells is studied and the Hamiltonian of this gas is obtained by the projection of the electron-hole plasma Hamiltonian to exciton states and an expansion in a small density.
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Dependence of the scattering length for hydrogen atoms on effective mass

TL;DR: In this paper, the Born-Oppenheimer potential with adiabatic, reactive, and radiative corrections was used to calculate the scattering length and mass-dependent shifts of the vibrational levels of a pair of hydrogen atoms interacting via the ground state molecular potential.
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