New measure of electron correlation

Abstract

We propose to quantify the "correlation" inherent in a many-electron (or many-fermion) wavefunction by comparing it to the unique uncorrelated state that has the same single-particle density operator as it does.

Final version to appear in PRL

References in corpus (2)

• Momentum distribution of the uniform electron gas: improved parametrization and exact limits of the cumulant expansion
• Accuracy of the time-dependent Hartree-Fock approximation for uncorrelated initial states

Cited by in corpus (31)

• Three fermions with six single particle states can be entangled in two inequivalent ways
• Towards a formal definition of static and dynamic electronic correlations
• Correlation paradox of the dissociation limit: A quantum information perspective
• Singling Out Dynamic and Nondynamic Correlation
• Multipartite concurrence for identical-fermion systems
• Relating correlation measures: the importance of the energy gap
• Quantification of correlations in quantum many-particle systems
• Setting and analysis of the multi-configuration time-dependent Hartree-Fock equations
• Pinning of fermionic occupation numbers: Higher spatial dimensions and spin
• An exact one-particle theory of bosonic excitations: From a generalized Hohenberg-Kohn theorem to convexified N-representability
• Dynamics of Correlations of Bose and Fermi Particles
• Optimal multi-configuration approximation of an N-fermion wave function
• A Wigner molecule at extremely low densities: a numerically exact study
• What Can Quantum Information Theory Offer to Quantum Chemistry?
• The von Neumann Hierarchy for Correlation Operators of Quantum Many-Particle Systems
• Entanglement generation through particle detection in systems of identical fermions
• Optimal Slater-determinant approximation of fermionic wave functions
• Understanding the fundamental connection between electronic correlation and decoherence
• Dynamics of entanglement in systems of identical fermions undergoing decoherence
• Fermionic Magic Resources of Quantum Many-Body Systems
• Entanglement of electrons in interacting molecules
• Range separation of the Coulomb hole
• Physics behind the minimum of relative entropy measures for correlations
• Correlation in fermion or boson systems as the minimum of entropy relative to all free states
• The on-shell self-energy of the uniform electron gas in its weak-correlation limit
• Kinetic correlation functionals from the entropic regularisation of the strictly-correlated electrons problem
• The Wigner localization of interacting electrons in a one-dimensional harmonic potential
• Nonfreeness and related functionals for measuring correlation in many-fermion states
• Classifying fermionic states via many-body correlation measures
• Properties of nonfreeness: an entropy measure of electron correlation
• Opposite sign correlations in fermion or boson gases