Constraints upon Functionals of the 1-Matrix, Universal Properties of Natural Orbitals, and the Fallacy of the Collins “Conjecture”

J Cioslowski, K Strasburger - The Journal of Physical Chemistry …, 2024 - ACS Publications
Reliability of quantum-chemical calculations based upon the density functional theory and
its 1-matrix counterpart hinges upon minimizing the extent of empirical parameterization in …

Correlation paradox of the dissociation limit: A quantum information perspective

L Ding, C Schilling - Journal of Chemical Theory and Computation, 2020 - ACS Publications
The interplay between electron interaction and geometry in a molecular system can lead to
rather paradoxical situations. The prime example is the dissociation limit of the hydrogen …

What can Quantum Information Theory Offer to Quantum Chemistry?

D Aliverti-Piuri, K Chatterjee, L Ding, K Liao… - Faraday …, 2024 - pubs.rsc.org
It is the ultimate goal of this work to foster synergy between quantum chemistry and the
flourishing field of quantum information theory. For this, we first translate quantum …

Shannon entropy and many‐electron correlations: Theoretical concepts, numerical results, and Collins conjecture

L Delle Site - International Journal of Quantum Chemistry, 2015 - Wiley Online Library
In this article, I will discuss the overlap between the concept of Shannon entropy and the
concept of electronic correlation. Quantum Monte Carlo numerical results for the uniform …

Hartree--Fock Theory, Lieb's Variational Principle, and their Generalizations

V Bach - arXiv preprint arXiv:2209.10189, 2022 - arxiv.org
Hartree--Fock theory in quantum mechanics is reviewed, from the proposal of the Hartree--
Fock approximation right after quantum mechanics was formulated to its applications in …

The time-dependent Hartree–Fock–Bogoliubov equations for bosons

V Bach, S Breteaux, T Chen, J Fröhlich… - Journal of Evolution …, 2022 - Springer
We introduce the map of dynamics of quantum Bose gases into dynamics of quasifree
states, which we call the “nonlinear quasifree approximation”. We use this map to derive the …

An exact one-particle theory of bosonic excitations: from a generalized Hohenberg–Kohn theorem to convexified N-representability

J Liebert, C Schilling - New Journal of Physics, 2023 - iopscience.iop.org
Abstract Motivated by the Penrose–Onsager criterion for Bose–Einstein condensation we
propose a functional theory for targeting low-lying excitation energies of bosonic quantum …

Quantification of correlations in quantum many-particle systems

K Byczuk, J Kuneš, W Hofstetter, D Vollhardt - Physical Review Letters, 2012 - APS
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 …

Setting and analysis of the multi-configuration time-dependent Hartree–Fock equations

C Bardos, I Catto, N Mauser, S Trabelsi - Archive for rational mechanics …, 2010 - Springer
In this paper, we formulate and analyze the multi-configuration time-dependent Hartree–
Fock (MCTDHF) equations for molecular systems with pairwise interaction. This set of …

Pinning of fermionic occupation numbers: Higher spatial dimensions and spin

F Tennie, V Vedral, C Schilling - Physical Review A, 2016 - APS
The role of the generalized Pauli constraints (GPCs) in higher spatial dimensions and by
incorporating spin degrees of freedom is systematically explored for a system of interacting …