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.
6 pages, 3 figures + 8 pages of Supplemental Material; many-body calculations (Bogoliubov theory) using a bosonic model Hamiltonian
References in corpus (9)
- Quantum fluids of light
- Exciton-polariton condensates
- Exact Relations for a Strongly-interacting Fermi Gas from the Operator Product Expansion
- Equation of state of a superfluid Fermi gas in the BCS-BEC crossover
- Collective coherence in planar semiconductor microcavities
- Ground state energy of the two-dimensional weakly interacting Bose gas: First correction beyond Bogoliubov theory
- 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
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