Energy spectrum and structure of one-dimensional few-electron Wigner crystals with and without coupling to light in cavity
arXiv:2108.01706 · doi:10.1103/PhysRevA.104.043109
Abstract
Explicitly Correlated Gaussian basis is used to calculate the energies and wave functions of one dimensional few-electron systems in confinement potentials created by external potentials or coupling to light in cavity. The appearance and properties of Wigner crystal-like structures are discussed. It is shown that one dimensional Wigner crystals can be formed by coupling electrons to light due to the dipole self-interaction term in the light-matter Hamiltonian, provided an additional extremely weak confining potential is present.
References in corpus (32)
- Optical detection of Mott and generalized Wigner crystal states in WSe2/WS2 moiré superlattices
- Atoms and Molecules in Cavities: From Weak to Strong Coupling in QED Chemistry
- Wigner Crystal in One Dimension
- Zero Temperature Phases of the Electron Gas
- Light-matter interaction in the long-wavelength limit: no ground-state without dipole self-energy
- Symmetry breaking and quantum correlations in finite systems: Studies of quantum dots and ultracold Bose gases and related nuclear and chemical methods
- Kohn-Sham Approach to Quantum Electrodynamical Density Functional Theory: Exact Time-Dependent Effective Potentials in Real Space
- On the formation of Wigner molecules in small quantum dots
- Imaging the Wigner Crystal of Electrons in One Dimension
- Observation and Spectroscopy of a Two-Electron Wigner Molecule in an Ultra-Clean Carbon Nanotube
- Excitons and charged excitons in semiconductor quantum wells
- Spin Polarization of the Low Density 3D Electron Gas
- Quantum Monte Carlo study of the three-dimensional spin-polarized homogeneous electron gas
- Diffusion quantum Monte Carlo study of three-dimensional Wigner crystals
- Electronic structure of rectangular quantum dots
- Exact Potential Energy Surface for Molecules in Cavities
- Incipient Wigner Localization in Circular Quantum Dots
- Highly coherent spin states in carbon nanotubes coupled to cavity photons
- Reduced Density-Matrix Approach to Strong Matter-Photon Interaction
- Quantum capacitance mediated carbon nanotube optomechanics
- Wigner crystallization in transition metal dichalcogenides: A new approach to correlation energy
- Conserving approximations in cavity quantum electrodynamics: Implications for density functional theory of electron-photon systems
- Multipositronic systems
- Artificial molecular quantum rings: Spin density functional theory calculations
- One-dimensional few-electron effective Wigner crystal in quantum and classical regimes
- Orbital-free energy functional for electrons in two dimensions
- Generalized local-density approximation and one-dimensional finite uniform electron gases
- Wigner crystal phases in confined carbon nanotubes
- Wigner crystallization of electrons in a one-dimensional lattice: a condensation in the space of states
- Density Functional Theory of Multicomponent Quantum Dots
- Ground-state energy and Wigner crystallization in thick 2D-electron systems
- Kapitza-Dirac blockade: A universal tool for the deterministic preparation of non-Gaussian oscillator states