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We propose a general framework for finding the ground state of many-body fermionic systems by using feed-forward neural networks. The anticommutation relation for fermions is usually implemented to a variational wave function by the Slater…

强关联电子 · 物理学 2021-12-21 Koji Inui , Yasuyuki Kato , Yukitoshi Motome

We introduce a novel parametrization scheme for the Hilbert space of a spin-1/2 Heisenberg antiferromagnet (AFM) based on an octapartite description of the square lattice. Our formulation provides an efficient yet systematic way to model…

强关联电子 · 物理学 2011-09-14 Bayo Lau , Mona Berciu , George A. Sawatzky

Solving inverse problems without the use of derivatives or adjoints of the forward model is highly desirable in many applications arising in science and engineering. In this paper, we propose a new version of such a methodology, a framework…

动力系统 · 数学 2019-10-17 Alfredo Garbuno-Inigo , Franca Hoffmann , Wuchen Li , Andrew M. Stuart

This paper describes the data preprocessing and reduction methods together with SLODAR analysis and wind profiling techniques for GeMS: the Gemini MCAO System. The wavefront gradient measurements of the five GeMS's Shack-Hartmann sensors,…

天体物理仪器与方法 · 物理学 2015-06-11 Angela Cortés , Benoit Neichel , Andrés Guesalaga , James Osborn , Francois Rigaut , Dani Guzman

We analyze the ground-state properties of strongly-correlated electrons coupled with phonons by means of a generalized Gutzwiller wavefunction which includes phononic degrees of freedom. We study in detail the paramagnetic half-filled…

强关联电子 · 物理学 2008-07-29 P. Barone , R. Raimondi , M. Capone , C. Castellani , M. Fabrizio

Advanced wavefront sensors (WFS) are essential for enabling new science cases for telescopes that utilize adaptive optics (AO) systems. While complex field WFS -- those that estimate the electric field phase and amplitude through…

天体物理仪器与方法 · 物理学 2025-08-21 D. Angelica Huerta , Justin R. Crepp , Caleb G. Abbott , Brian Joseph

This work implements and numerically tests the direct reconstruction algorithm introduced in [Garde & Hyv\"onen, SIAM J. Math. Anal., 2024] for two-dimensional linearized electrical impedance tomography. Although the algorithm was…

数值分析 · 数学 2026-02-18 Antti Autio , Henrik Garde , Markus Hirvensalo , Nuutti Hyvönen

We discuss a fine tuning of the co- and contra-variant transforms through construction of specific fiducial and reconstructing vectors. The technique is illustrated on three different forms of induced representations of the Heisenberg…

数学物理 · 物理学 2022-09-02 Amerah A. Al Ameer , Vladimir V. Kisil

We investigate the notion of Wasserstein median as an alternative to the Wasserstein barycenter, which has become popular but may be sensitive to outliers. In terms of robustness to corrupted data, we indeed show that Wasserstein medians…

最优化与控制 · 数学 2025-02-04 Guillaume Carlier , Enis Chenchene , Katharina Eichinger

We study an inverse initial-data problem for a nonlinear Schr\"odinger equation in which the initial wave field is reconstructed from lateral measurements. Our approach combines a Legendre-polynomial-exponential-time dimensional reduction…

数值分析 · 数学 2026-05-13 Navaraj Neupane , Loc Nguyen

The inverse problem of reconstructing a source term from boundary measurements, for the wave equation, is revisited. We propose a novel approach to recover the unknown source through measuring the wave fields after injecting small…

偏微分方程分析 · 数学 2021-12-03 Mourad Sini , Haibing Wang

We construct a lattice kinetic scheme to study electronic flow in graphene. For this purpose, we first derive a basis of orthogonal polynomials, using as weight function the ultrarelativistic Fermi-Dirac distribution at rest. Later, we use…

统计力学 · 物理学 2015-06-15 D. Oettinger , M. Mendoza , H. J. Herrmann

Variational Monte Carlo simulations have been crucial for understanding quantum many-body systems, especially when the Hamiltonian is frustrated and the ground-state wavefunction has a non-trivial sign structure. In this paper, we use…

We consider the spin-1/2 antiferromagnetic Heisenberg model on the two-dimensional square-kagome lattice with almost dispersionless lowest magnon band. For a general exchange coupling geometry we elaborate low-energy effective Hamiltonians…

强关联电子 · 物理学 2014-09-08 Oleg Derzhko , Johannes Richter , Olesia Krupnitska , Taras Krokhmalskii

We propose a new algorithm to identify a Wiener-Hammerstein system. This model represents a communication channel where two linear filters are separated by a non-linear function modelling an amplifier. The algorithm enables to recover each…

信息论 · 计算机科学 2024-09-02 Vincent Corlay

Statistical complexity and Fisher-Shannon information are calculated in a problem of quantum scattering, namely the Klein tunneling across a potential barrier in graphene. The treatment of electron wave functions as masless Dirac fermions…

介观与纳米尺度物理 · 物理学 2015-06-17 Jaime Sanudo , Ricardo Lopez-Ruiz

We propose a new least squares finite element method to solve the Stokes problem with two sequential steps. The approximation spaces are constructed by patch reconstruction with one unknown per element. For the first step, we reconstruct an…

数值分析 · 数学 2020-03-05 Ruo Li , Fanyi Yang

This study presents the first experimental validation of a Hessian-free ray-Born inversion technique for quantitative reconstruction of sound speed from transmission ultrasound data. The method combines single-scattering theory with…

医学物理 · 物理学 2025-11-21 Ashkan Javaherian

Ferromagnetic Nickel is the most celebrated iron group metal with pronounced discrepancies between the experimental electronic properties and predictions of density functional theories. In this work, we show in detail that the recently…

强关联电子 · 物理学 2015-06-25 Joerg Buenemann , Florian Gebhard , Torsten Ohm , Stefan Weiser , Werner Weber

The development of fast and accurate image reconstruction algorithms is a central aspect of computed tomography. In this paper we address this issue for photoacoustic computed tomography in circular geometry. We investigate the Galerkin…

数值分析 · 数学 2017-10-23 Johannes Schwab , Sergiy Pereverzyev , Markus Haltmeier