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Autoencoders have found widespread application in both their original deterministic form and in their variational formulation (VAEs). In scientific applications and in image processing it is often of interest to consider data that are…

Machine Learning · Statistics 2025-09-09 Justin Bunker , Mark Girolami , Hefin Lambley , Andrew M. Stuart , T. J. Sullivan

The characterization of a quantum device is a crucial step in the development of quantum experiments. This is accomplished via Quantum Process Tomography, which combines the outcomes of different projective measurements to deliver a…

Quantum Physics · Physics 2025-06-26 Francesco Di Colandrea , Nazanin Dehghan , Alessio D'Errico , Ebrahim Karimi

We consider a real periodic Schr\"odinger operator and a physically relevant family of $m \geq 1$ Bloch bands, separated by a gap from the rest of the spectrum, and we investigate the localization properties of the corresponding composite…

Mathematical Physics · Physics 2016-01-13 Domenico Fiorenza , Domenico Monaco , Gianluca Panati

Correlation functions, such as static and dynamic structure factors, offer a versatile approach to analyzing atomic-scale structure and dynamics. By having access to the full dynamics from atomistic simulations, they serve as valuable tools…

We present Conditional Wasserstein Autoencoders (CWAEs), a framework for conditional simulation that exploits low-dimensional structure in both the conditioned and the conditioning variables. The key idea is to modify a Wasserstein…

Machine Learning · Computer Science 2026-04-06 Mohammad Al-Jarrah , Michele Martino , Marcus Yim , Bamdad Hosseini , Amirhossein Taghvaei

Irradiation with light provides a powerful tool to interrogate, control or induce new quantum states of matter out of equilibrium, however a microscopic understanding of light-matter coupling in interacting electron systems remains a…

Strongly Correlated Electrons · Physics 2023-03-06 Wai Ting Tai , Martin Claassen

Undoped cuprates are an abundant class of magnetic insulators, in which the synergy of rich chemistry and sizable quantum fluctuations leads to a variety of magnetic behaviors. Understanding the magnetism of these materials is impossible…

Strongly Correlated Electrons · Physics 2023-10-12 Denys Y. Kononenko , Ulrich K. Rößler , Jeroen van den Brink , Oleg Janson

Construction of maximally localized Wannier functions (MLWFs) has been implemented within the linear combination of pseudo-atomic orbital (LCPAO) method. Detailed analysis using MLWFs is applied to three closely related materials, single…

Materials Science · Physics 2013-05-29 Hongming Weng , Taisuke Ozaki , Kiyoyuki Terakura

A recently proposed ab initio Hartree-Fock approach aimed at directly obtaining the Wannier functions of a crystalline insulator is applied to polymers. The systems considered are the LiH chain and trans-polyacetylene. In addition to being…

Condensed Matter · Physics 2009-10-31 Alok Shukla , Michael Dolg , Hermann Stoll

The Simulation Environment for Atomistic and Molecular Modeling (SEAMM) is an open-source software package written in Python that provides a graphical interface for setting up, executing, and analyzing molecular and materials simulations.…

This chapter introduces the main ideas and the most important methods for representing the electronic wavefunction through machine learning models. The wavefunction of a N-electron system is an incredibly complicated mathematical object,…

Chemical Physics · Physics 2024-04-30 Stefano Battaglia

Quantum simulators are a promising technology on the spectrum of quantum devices from specialized quantum experiments to universal quantum computers. These quantum devices utilize entanglement and many-particle behaviors to explore and…

Several methodologies are developed for large-scale atomistic simulations with fully quantum mechanical description of electron systems. The important methodological concepts are (i) generalized Wannier state, (ii) Krylov subspace and (iii)…

Materials Science · Physics 2007-05-23 Takeo Hoshi

Density functional theory (DFT) embedding provides a formally exact framework for interfacing correlated wave-function theory (WFT) methods with lower-level descriptions of electronic structure. Here, we report techniques to improve the…

Chemical Physics · Physics 2015-06-12 Jason D. Goodpaster , Taylor A. Barnes , Frederick R. Manby , Thomas F. Miller

The problem of construction of the Wannier functions (WFs) in a restricted Hilbert space of eigenstates of the one-electron Hamiltonian $\hat{H}$ (forming the so-called low-energy part of the spectrum) can be formulated in several different…

Strongly Correlated Electrons · Physics 2007-05-23 I. V. Solovyev , Z. V. Pchelkina , V. I. Anisimov

Two-dimensional topological materials (TMs) have a variety of properties that make them attractive for applications including spintronics and quantum computation. However, there are only a few such experimentally known materials. To help…

Materials Science · Physics 2020-05-08 Kamal Choudhary , Kevin F. Garrity , Jie Jiang , Ruth Pachter , Francesca Tavazza

We present an implementaion of interface between the full-potential linearized augmented plane wave package Wien2k and the wannier90 code for the construction of maximally localized Wannier functions. The FORTRAN code and a documentation is…

Materials Science · Physics 2015-05-18 Jan Kunes , Ryotaro Arita , Philipp Wissgott , Alessandro Toschi , Hiroaki Ikeda , Karsten Held

Accurate prediction of electronic and optical excitations in van der Waals (vdW) materials is a long-standing challenge for density functional theory. The recently proposed Wannier-localized optimally-tuned screened range-separated hybrid…

Biological systems display impressive capabilities in effectively responding to environmental signals in real time. There is increasing evidence that organisms may indeed be employing near optimal Bayesian calculations in their…

Neurons and Cognition · Quantitative Biology 2010-02-12 Steve Yaeli , Ron Meir

We present an efficient first-principles approach for calculating Fermi surface averages and spectral properties of solids, and use it to compute the low-field Hall coefficient of several cubic metals and the magnetic circular dichroism of…

Materials Science · Physics 2009-11-13 Jonathan R. Yates , Xinjie Wang , David Vanderbilt , Ivo Souza