Two electrons in harmonic confinement coupled to light in a cavity
arXiv:2108.01702 · doi:10.1103/PhysRevB.104.165147
Abstract
The energy and wave function of a harmonically confined two-electron system coupled to light is calculated by separating the wave functions of the relative and center of mass (CM) motions. The relative motion wave function has a known quasi-analytical solution. The light only couples to the CM variable and the coupled equation can be solved with diagonalization without approximations. The approach works for any coupling strength. Examples of wave functions of light-matter hybrid states are presented.
References in corpus (29)
- Ultrastrong coupling between light and matter
- Atoms and Molecules in Cavities: From Weak to Strong Coupling in QED Chemistry
- Light-matter interactions with photonic quasiparticles
- Quantum Electrodynamical Density-Functional Theory: Bridging Quantum Optics and Electronic-Structure Theory
- Light-matter interaction in the long-wavelength limit: no ground-state without dipole self-energy
- Ab-initio non-relativistic quantum electrodynamics: Bridging quantum chemistry and quantum optics from weak to strong coupling
- Many-molecule reaction triggered by a single photon in polaritonic chemistry
- Kohn-Sham Approach to Quantum Electrodynamical Density Functional Theory: Exact Time-Dependent Effective Potentials in Real Space
- Cavity QED of Strongly Correlated Electron Systems: A No-go Theorem for Photon Condensation
- Ab-initio Optimized Effective Potentials for Real Molecules in Optical Cavities: Photon Contributions to the Molecular Ground state
- Cavity correlated electron-nuclear dynamics from first principles
- Real-time solutions of coupled Ehrenfest-Maxwell-Pauli-Kohn-Sham equations: fundamentals, implementation, and nano-optical applications
- Theoretical methods for ultrastrong light-matter interactions
- Cavity Quantum Electrodynamics at Arbitrary Light-Matter Coupling Strengths
- Two electrons on a hypersphere: a quasi-exactly solvable model
- Exact Potential Energy Surface for Molecules in Cavities
- Variational theory of non-relativistic quantum electrodynamics
- Planar Dirac Electron in Coulomb and Magnetic Fields
- Exact wave functions of two-electron quantum rings
- Gauge freedom, quantum measurements, and time-dependent interactions in cavity and circuit QED
- Excited states of spherium
- Reduced Density-Matrix Approach to Strong Matter-Photon Interaction
- Magnetic quantum dots and rings in two dimensions
- The Vacua of Dipolar Cavity Quantum Electrodynamics
- Conserving approximations in cavity quantum electrodynamics: Implications for density functional theory of electron-photon systems
- Planar Dirac Electron in Coulomb and Magnetic Fields: a Bethe ansatz approach
- Analytic Solution of a Relativistic Two-dimensional Hydrogen-like Atom in a Constant Magnetic Field
- Two-electron atom with a screened interaction
- Exact wave functions and entropies of the one dimensional Regularized Calogero model