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In this work we study qualitative properties of real analytic bounded maps. The main tool is approximation of real valued functions analytic in rectangular domains of the complex plane by continued g-fractions of Wall. As an application,…

Dynamical Systems · Mathematics 2018-08-21 Alexei Tsygvintsev

We propose a new scheme to implement the self-consistent optimization of the trial wave-function in constrained path auxiliary field Quantum Monte Carlo (CP-AFQMC) in the framewok of natural orbitals. In this scheme, a new trial…

Strongly Correlated Electrons · Physics 2023-08-15 Mingpu Qin

In order to increase the accuracy of the linearized augmented plane wave method (LAPW) we present a new approach where the plane wave basis function is augmented by two different atomic radial components constructed at two different…

Materials Science · Physics 2015-12-10 A. V. Nikolaev , D. Lamoen , B. Partoens

Entanglement is a fundamental property of quantum systems, essential for non-trivial quantum programs. Identifying when qubits become entangled is critical for circuit optimization, and for arguing for the correctness of quantum algorithms.…

Quantum Physics · Physics 2025-08-15 Aske Nord Raahauge , Martin Bom Marchioro , Rasmus Ross Nylandsted

A fully analytical approximation for the observable characteristics of many-electron atoms is developed via a complete and orthonormal hydrogen-like basis with a single-effective charge parameter for all electrons of a given atom. The basis…

Quantum Physics · Physics 2017-12-06 O. D. Skoromnik , I. D. Feranchuk , A. U. Leonau , C. H. Keitel

We present a multi-scale approach to efficiently embed an ab initio correlated chemical fragment described by its energy-weighted density matrices, and entangled with a wider mean-field many-electron system. This approach, first presented…

Strongly Correlated Electrons · Physics 2019-07-24 Edoardo Fertitta , George H. Booth

Herein, we present a new method to efficiently calculate electronically excited states in large molecular assemblies, consisting of hundreds of molecules. For this purpose, we combine the long-range corrected tight-binding…

Chemical Physics · Physics 2023-02-08 Richard Einsele , Joscha Hoche , Roland Mitric

Finite-temperature quantum field theories are formulated in terms of Green's functions and self-energies on the Matsubara axis. In multi-orbital systems, these quantities are related to positive semidefinite matrix-valued functions of the…

Strongly Correlated Electrons · Physics 2021-10-13 Jiani Fei , Chia-Nan Yeh , Dominika Zgid , Emanuel Gull

We have carried out a comparative study of the electronic specific heat and electronic structure of $\alpha$ and $\delta$-plutonium using dynmical mean field theory (DMFT). We use the perturbative T-matrix and fluctuating exchange (T-matrix…

Strongly Correlated Electrons · Physics 2009-11-13 L. V. Pourovskii , G. Kotliar , M. I. Katsnelson , A. I. Lichtenstein

We present accurate many-body results of the electronic densities in several solid materials, including Si, NaCl, and Cu. These results are obtained using the ab initio auxiliary-field quantum Monte Carlo (AFQMC) method working in a…

Materials Science · Physics 2021-02-24 Siyuan Chen , Mario Motta , Fengjie Ma , Shiwei Zhang

Electrical Impedance Tomography (EIT) is a powerful imaging technique with diverse applications, e.g., medical diagnosis, industrial monitoring, and environmental studies. The EIT inverse problem is about inferring the internal conductivity…

Machine Learning · Computer Science 2023-10-31 Derick Nganyu Tanyu , Jianfeng Ning , Andreas Hauptmann , Bangti Jin , Peter Maass

We introduce an active-space embedding framework for core-level spectroscopies that connects localized atomic multiplets to continuum resonances within a plane-wave DFT/PAW description. The approach is complementary to widely used…

Strongly Correlated Electrons · Physics 2026-04-17 Alessandro Mirone , Mauro Rovezzi , Christoph Sahle , Alessandro Longo

We describe a numerical algorithm for approximating the equilibrium-reduced density matrix and the effective (mean force) Hamiltonian for a set of system spins coupled strongly to a set of bath spins when the total system (system+bath) is…

Quantum Physics · Physics 2023-01-25 Tyler Chen , Yu-Chen Cheng

We discuss a parameter-free and computationally efficient ab initio simulation approach for moderately and strongly correlated materials, the multitier self-consistent $GW$+EDMFT method. This scheme treats different degrees of freedom, such…

Strongly Correlated Electrons · Physics 2017-10-02 Fredrik Nilsson , Lewin Boehnke , Philipp Werner , Ferdi Aryasetiawan

We implement and benchmark the frozen core approximation, a technique commonly adopted in electronic structure theory to reduce the computational cost by means of mathematically fixing the chemically inactive core electron states. The…

Materials Science · Physics 2021-06-14 Victor Wen-zhe Yu , Jonathan Moussa , Volker Blum

We present an exact ansatz for the eigenstate problem of mixed fermion-boson systems that can be implemented on quantum devices. Based on a generalization of the electronic contracted Schr\"odinger equation (CSE), our approach guides a…

Quantum Physics · Physics 2024-08-26 Samuel Warren , Yuchen Wang , Carlos L. Benavides-Riveros , David A. Mazziotti

We address the problem of flat band engineering in different prototypes of quasi-one dimensional kagome network through a generalized analytical proposition worked out within the tight-binding formalism. Exact fabrication of single particle…

Mesoscale and Nanoscale Physics · Physics 2024-11-05 Atanu Nandy

We consider a direct optimization approach for ensemble density functional theory electronic structure calculations. The update operator for the electronic orbitals takes the structure of the Stiefel manifold into account and we present an…

Computational Physics · Physics 2012-07-11 K. Baarman , V. Havu , T. Eirola

Bootstrap embedding (BE) is a recently developed electronic structure method that has shown great success at treating electron correlation in molecules. Here, we extend BE to treat surfaces and solids where the wave function is represented…

Strongly Correlated Electrons · Physics 2023-01-18 Oinam Romesh Meitei , Troy Van Voorhis

Analytic continuation is an essential step in extracting information about the dynamical properties of physical systems from quantum Monte Carlo (QMC) simulations. Different methods for analytic continuation have been proposed and are still…

Computational Physics · Physics 2023-02-21 Khaldoon Ghanem , Erik Koch
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