The lowest excited configuration of harmonium
arXiv:1205.2038 · doi:10.1103/PhysRevA.86.022525
Abstract
The harmonium model has long been regarded as an exactly solvable laboratory bench for quantum chemistry [Heisenberg, 1926]. For studying correlation energy, only the ground state of the system has received consideration heretofore. This is a spin singlet state. In this work we exhaustively study the lowest excited (spin triplet) harmonium state, with the main purpose of revisiting the relation between entanglement measures and correlation energy for this quite different species. The task is made easier by working with Wigner quasiprobabilities on phase space.
Latex, 21 pages. Minor changes, 4 improved figures, references added. To appear in Physical Review A
References in corpus (9)
- Entanglement and Particle Identity: A Unifying Approach
- Entanglement, Particle Identity and the GNS Construction: A Unifying Approach
- Ensemble averaged entanglement of two-particle states in Fock space
- Hooke's law correlation in two-electron systems
- Significant Conditions on the Two-electron Reduced Density Matrix from the Constructive Solution of N-representability
- The Pauli exclusion principle and beyond
- Proposed definitions of the correlation energy density from a Hartree-Fock starting point: The two-electron Moshinsky model atom as an exactly solvable model
- Physical Wigner functions
- Exact phase space functional for two-body systems
Cited by in corpus (13)
- Algebraic Approach to Entanglement and Entropy
- Entanglement and the Born-Oppenheimer approximation in an exactly solvable quantum many-body system
- Entanglement in N-harmonium: bosons and fermions
- Entropic measures of Rydberg-like harmonic states
- Quasipinning and selection rules for excitations in atoms and molecules
- Rényi entropies of the highly-excited states of multidimensional harmonic oscillators by use of strong Laguerre asymptotics
- Relating correlation measures: the importance of the energy gap
- Analytic solutions of topologically disjoint systems
- Two-electron atom with a screened interaction
- Testing one-body density functionals on a solvable model
- Quantum marginals from pure doubly excited states
- Physical Wigner functions
- Quantum correlations in one-dimensional Wigner molecules