Two-dimensional exciton-polariton interactions beyond the Born approximation
arXiv:2004.05559 · doi:10.1103/PhysRevA.106.063303
Abstract
We provide a many-body theory for the interactions of two-dimensional excitons and polaritons beyond the Born approximation. Taking into account Gaussian quantum fluctuations via the Bogoliubov theory, we find that the two-body interaction strength in two-dimensions has an inverse logarithmic dependence on the scattering length and ground state energy. This leads to a vanishing exciton interaction strength in the zero-momentum limit but a finite polariton interaction strength due to strong light-matter coupling. We also derive the exact Tan relations for exciton-polaritons and calculate Tan's contact coefficient. We show the polariton interaction strength and Tan's contact both exhibit an anomalous enhancement at red photon-exciton detuning when the scattering length is large. Our predictions may provide a qualitatively correct guide for studies of exciton and polariton nonlinearities, and suggest a route to achieving strongly nonlinear polariton gases.
arXiv comment6 pages, 3 figures + 8 pages of Supplemental Material; many-body calculations (Bogoliubov theory) using a bosonic model Hamiltonian
References in corpus (25)
- Excitons in atomically thin transition metal dichalcogenides
- Quantum fluids of light
- Exciton-polariton condensates
- Dielectric screening in two-dimensional insulators: Implications for excitonic and impurity states in graphane
- Large momentum part of fermions with large scattering length
- Energetics of a strongly correlated Fermi gas
- Exact Relations for a Strongly-interacting Fermi Gas from the Operator Product Expansion
- Quantum correlations of confined exciton-polaritons
- Quantum-correlated photons from semiconductor cavity polaritons
- Equation of state of a superfluid Fermi gas in the BCS-BEC crossover
- Collective coherence in planar semiconductor microcavities
- Highly nonlinear trion-polaritons in a monolayer semiconductor
- Interacting Polaron-Polaritons
- Direct measurement of polariton-polariton interaction strength in the Thomas-Fermi regime of exciton-polariton condensation
- Theory of exciton-electron scattering in atomically thin semiconductors
- Quantum fluctuations in the BCS-BEC crossover of two-dimensional Fermi gases
- Polariton-polariton scattering in microcavities: A microscopic theory
- Ground state energy of the two-dimensional weakly interacting Bose gas: First correction beyond Bogoliubov theory
- Zero-point energy of ultracold atoms
- Polaron-Polaritons in the Integer and Fractional Quantum Hall Regimes
- Microscopic description of exciton-polaritons in microcavities
- Polariton interactions in microcavities with atomically thin semiconductor layers
- Quantum fluctuations in a strongly interacting Bardeen-Cooper-Schrieffer polariton condensate at thermal equilibrium
- Polariton-polariton interaction beyond the Born approximation: A toy model study
- Composite boson description of a low density gas of excitons
Cited by in corpus (4)
- Consistent theory of self-bound quantum droplets with bosonic pairing
- Microscopic pairing theory of a binary Bose mixture with interspecies attractions: bosonic BEC-BCS crossover and ultradilute low-dimensional quantum droplets
- Two-dimensional coherent spectroscopy of trion-polaritons and exciton-polaritons in atomically thin transition metal dichalcogenides
- Controllable fusion of electromagnetic bosons in two-dimensional semiconductors