Quantification of correlations in quantum many-particle systems

Abstract

We introduce a well-defined and unbiased measure of the strength of correlations in quantum many-particle systems which is based on the relative von Neumann entropy computed from the density operator of correlated and uncorrelated states. The usefulness of this general concept is demonstrated by quantifying correlations of interacting electrons in the Hubbard model and in a series of transition-metal oxides using dynamical mean-field theory.

6 pages, 3 figures; Final version including correction of typographical errors and new reference

References in corpus (8)

• Many-Body Physics with Ultracold Gases
• The numerical renormalization group method for quantum impurity systems
• Magnetic Moment Collapse-Driven Mott Transition in MnO
• NiO: Correlated Bandstructure of a Charge-Transfer Insulator
• Single-Site Entanglement of Fermions at a Quantum Phase Transition
• Competition between Anderson localization and antiferromagnetism in correlated lattice fermion systems with disorder
• Entanglement entropy and entanglement witnesses in models of strongly interacting low-dimensional fermions
• Entanglement and transport through correlated quantum dot

Cited by in corpus (22)

• Electronic entanglement in late transition metal oxides
• Magnetic Collapse and the Behavior of Transition Metal Oxides at High Pressure
• Entanglement entropy and mutual information across the Mott transition in the two-dimensional Hubbard model
• Electronic structure of bulk manganese oxide and nickel oxide from coupled cluster theory
• Efficient variational approach to the impurity problem and its application to the dynamical mean-field theory
• Thermodynamic and information-theoretic description of the Mott transition in the two-dimensional Hubbard model
• Emergence of quantum critical charge and spin-state fluctuations near the pressure-induced Mott transition in MnO, FeO, CoO, and NiO
• DFT+DMFT calculations of the complex band and tunneling behavior for the transition metal monoxides MnO, FeO, CoO and NiO
• Electronic correlations at paramagnetic $(001)$ and $(110)$ NiO surfaces: Charge-transfer and Mott-Hubbard-type gaps at the surface and subsurface of $(110)$ NiO
• Optimal free descriptions of many-body theories
• Genuine multipartite system-environment correlations in decoherent dynamics
• LDA+DMFT approach to ordering phenomena and the structural stability of correlated materials
• Optimal multi-configuration approximation of an N-fermion wave function
• Entanglement and classical correlations at the doping-driven Mott transition in the two-dimensional Hubbard model
• Double ionization of a three-electron atom: Spin correlation effects
• Quantifying the effect of interactions in quantum many-body systems
• Low-Energy Model and Electron-Hole Doping Asymmetry of Single-Layer Ruddlesden-Popper Iridates
• Entanglement Driven Phase Transitions in Spin-Orbital Models
• Physics behind the minimum of relative entropy measures for correlations
• Dynamic charge Kondo effect and a slave fermion approach to the Mott transition
• Quantifying fermionic interactions from the violation of Wick's theorem
• Mott metal-insulator transition in a modified periodic Anderson model: Insights from entanglement entropy and role of short-range spatial correlations