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In the past two decades, geometric phases have provided a powerful new way of looking at quantum mechanical systems, manifesting themselves in subtle but observable ways. Here, we use them to define a versatile function ("distribution of…

Materials Science · Physics 2007-05-23 Joydeep Bhattacharjee , Shobhana Narasimhan , Umesh V Waghmare

Chemical bonding is a ubiquitous concept in chemistry and it provides a common basis for experimental and theoretical chemists to explain and predict the structure, stability and reactivity of chemical species. Among others, the Energy…

Accurately treating strong electron correlation in quantum chemistry typically requires multireference wave-function methods with steep computational scaling. The recently proposed i-DMFT method promises near configuration-interaction…

Chemical Physics · Physics 2026-04-23 Paul G. Graf , Florian Matz , Lexin Ding , Julia Liebert , Markus Penz , Christian Schilling

Ab initio calculations including electron correlation are still extremely costly except for the smallest atoms and molecules. Therefore, our purpose in the present study is to employ a bond-order correlation approach to obtain, via…

Chemical Physics · Physics 2007-05-23 A. Grassi , G. M. Lombardo , G. Forte , G. G. N. Angilella , R. Pucci , N. H. March

Accurately describing strong electron correlation in complex systems remains a prominent challenge in computational chemistry as near-term quantum algorithms treating total correlation often require prohibitively deep circuits. Here we…

Computational Engineering, Finance, and Science · Computer Science 2026-04-21 Zhanou Liu , Yuhao Chen , Yingjin Ma , Xiao He , Yuxin Deng

Molecular bonds can be divided into four primary types: ionic, covalent, van der Waals and hydrogen bonds. At ultralow temperatures a novel binding type emerges paving the way for novel molecules and ultracold chemistry [1,2]. The…

Quantum Physics · Physics 2008-09-18 V. Bendkowsky , B. Butscher , J. Nipper , J. P. Shaffer , R. Loew , T. Pfau

Our curiosity-driven desire to "see" chemical bonds dates back at least one-hundred years, perhaps to antiquity. Sweeping improvements in the accuracy of measured and predicted electron charge densities, alongside our largely bondcentric…

Chemical Physics · Physics 2020-02-19 Timothy R. Wilson , Malavikha Rajivmoorthy , Jordan Goss , Sam Riddle , M. E. Eberhart

We demonstrate that the model of zero-range potentials can be successfully employed for the description of attached electrons in atomic and molecular anions, for example, negatively charged carbon clusters. To illustrate the capability of…

Atomic and Molecular Clusters · Physics 2023-01-13 Arkadiy S. Baltenkov , Igor Woiciechowski

The performance of modern quantum devices in communication, metrology or microscopy relies on the quantum-classical interaction which is generally described by the theory of decoherence. Despite the high relevance for long coherence times…

Quantum Physics · Physics 2020-08-26 Nicole Kerker , Robin Röpke , Lea-Marina Steinert , Andreas Pooch , Alexander Stibor

Both the basic electronic structure of tetraborides, and the changes across the lanthanide series in $R$B$_4$ ($R$ = rare earth) compounds, are studied using the correlated band theory LDA+U method in the all-electron Full Potential Local…

Materials Science · Physics 2013-05-29 Z. P. Yin , W. E. Pickett

Although G\"odel's incompleteness theorem made mathematician recognize that no axiomatic system could completely prove its correctness and that there is an eternal hole between our knowledge and the world, physicists so far continue to work…

Statistical Mechanics · Physics 2007-05-23 Qiuping A. Wang

We performed a benchmark study on a series of dihydrogen bond complexes and constructed a set of reference bond distances and interaction energies. The test set was employed to assess the performance of several wave-function correlated and…

Chemical Physics · Physics 2015-01-22 E. Fabiano , L. A. Constantin , F. Della Sala

The localization of electrons caused by atomic disorder is a well-known phenomenon. However, what circumstances allow electrons to remain delocalized and retain band-like characteristics even when the crystal structure is completely absent,…

This letter investigates the applications and extensions of the resource theory of quantum superposition within the realm of quantum chemistry. Specifically, we explore aromaticity, a fundamental concept originally developed to elucidate…

Quantum Physics · Physics 2024-04-16 Mahir H. Yeşiller , Onur Pusuluk

Electronic correlations arise from the competition between the electrons' kinetic and Coulomb interaction energy and give rise to a rich phase diagram and many emergent quasiparticles. The binding of doubly-occupied and empty sites into a…

Strongly Correlated Electrons · Physics 2024-09-10 Edin Kapetanović , Guglielmo Nicola Gigante , Malte Schüler , Tim O. Wehling , Erik van Loon

Methods for estimating the correlation energy of molecules and other electronic systems are discussed based on the assumption that the correlation energy can be partitioned between atomic regions. In one method, the electron density is…

Chemical Physics · Physics 2022-05-16 Jerry L. Whitten

We present an information-theoretic assessment of atomic and molecular densities in the ground state and under a range of physical scenarios--excitation, confinement, and ensemblization. Comparisons across densities obtained from…

Chemical Physics · Physics 2026-05-21 Abdulrahman Y. Zamani , Kevin Carter-Fenk

A molecular description for magic-number configurations of interacting electrons in a quantum dot in high magnetic fields developed by one of the authors has been elaborated for four, five and six electron dots. For four electrons, the…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Hiroshi Imamura , Peter A. Maksym , Hideo Aoki

A model for positron binding to polar molecules is considered by combining the dipole potential outside the molecule with a strongly repulsive core of a given radius. Using existing experimental data on binding energies leads to…

Atomic Physics · Physics 2015-09-24 G. F. Gribakin , A. R. Swann

The notion of strong electronic correlations arose in the context of $d$-metal oxides such as NiO but can be exemplified on systems as simple as the H$_2$ molecule. Here we shed light on correlation effects on B$_6^{2-}$ clusters as found…

Strongly Correlated Electrons · Physics 2022-11-11 Thorben Petersen , Ulrich K. Rößler , Liviu Hozoi