Addition and removal energies of circular quantum dots
arXiv:1707.00229 · doi:10.1063/1.4995615
Abstract
We present and compare several many-body methods as applied to two-dimensional quantum dots with circular symmetry. We calculate the approximate ground state energy using a harmonic oscillator basis optimized by Hartree-Fock (HF) theory and further improve the ground state energy using two post-HF methods: in-medium similarity renormalization group (IM-SRG) and coupled cluster with singles and doubles (CCSD). With the application of quasidegenerate perturbation theory (QDPT) or the equations-of-motion (EOM) method to the results of the previous two methods, we obtain addition and removal energies as well. Our results are benchmarked against full configuration interaction (FCI) and diffusion Monte Carlo (DMC) where available. We examine the rate of convergence and perform extrapolations to the infinite basis limit using a power-law model.
arXiv comment45 pages, 11 figures. v2: Prune background theory + minor fixes based on review
References in corpus (26)
- Quantum Computation with Quantum Dots
- Self-tuned quantum dot gain in photonic crystal lasers
- Coupled-cluster computations of atomic nuclei
- The In-Medium Similarity Renormalization Group: A Novel Ab Initio Method for Nuclei
- Similarity Renormalization Group for Nucleon-Nucleon Interactions
- Ab Initio Calculations of Medium-Mass Nuclei with Normal-Ordered Chiral NN+3N Interactions
- In-Medium Similarity Renormalization Group for Nuclei
- Ab Initio Calculations of Even Oxygen Isotopes with Chiral Two- Plus Three-Nucleon Interactions
- Full configuration interaction approach to the few-electron problem in artificial atoms
- In-Medium Similarity Renormalization Group for Open-Shell Nuclei
- The Magnus expansion and the in-medium similarity renormalization group
- Ab Initio Multi-Reference In-Medium Similarity Renormalization Group Calculations of Even Calcium and Nickel Isotopes
- A driven similarity renormalization group approach to quantum many-body problems
- A numerical canonical transformation approach to quantum many body problems
- Diffusion Monte Carlo study of circular quantum dots
- Effects of symmetry breaking in finite quantum systems
- In-Medium Similarity Renormalization Group for Closed and Open-Shell Nuclei
- Operator Evolution via the Similarity Renormalization Group I: The Deuteron
- Measurement efficiency and n-shot read out of spin qubits
- Testing the density matrix expansion against ab initio calculations of trapped neutron drops
- Energy Spectra of Few-Electron Quantum Dots
- Ab Initio Excited States from the In-Medium Similarity Renormalization Group
- Harmonic oscillator eigenfunction expansions, quantum dots, and effective interactions
- Ab initio computation of circular quantum dots
- Effective interactions and large-scale diagonalization for quantum dots
- The Similarity Renormalization Group for Three-Body Interactions in One Dimension