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Dynamic Mode Decomposition (DMD) is an unsupervised machine learning method that has attracted considerable attention in recent years owing to its equation-free structure, ability to easily identify coherent spatio-temporal structures in…

机器学习 · 计算机科学 2022-02-16 Alex Viguerie , Gabriel F. Barros , Malú Grave , Alessandro Reali , Alvaro L. G. A. Coutinho

Density of states, dynamic (optical) conductivity and phase diagram of strongly correlated and strongly disordered paramagnetic Anderson-Hubbard model are analyzed within the generalized dynamical mean field theory (DMFT+\Sigma…

强关联电子 · 物理学 2009-11-13 E. Z. Kuchinskii , I. A. Nekrasov , M. V. Sadovskii

We develop a novel analytic continuation method for self-energies on the Matsubara domain as computed by quantum Monte Carlo simulations within dynamical mean field theory (QMC+DMFT). Unlike a maximum entropy (maxEn) procedure employed for…

强关联电子 · 物理学 2020-07-28 Taegeun Song , Roser Valenti , Hunpyo Lee

We use cellular dynamical mean-field theory with extended unit cells to study the ground state of the two-dimensional repulsive Hubbard model at finite doping. We calculate the energy of states with d-wave superconductivity coexisting with…

强关联电子 · 物理学 2018-03-09 Tuomas I. Vanhala , Päivi Törmä

We develop, clarify and test various aspects of cluster methods dynamical mean field methods using a soluble toy model as a benchmark. We find that the Cellular Dynamical Mean Field Theory (C-DMFT) converges very rapidly and compare its…

强关联电子 · 物理学 2009-11-07 Giulio Biroli , Gabriel Kotliar

In this paper, we present an extended dissipaton equation of motion for studying the dynamics of electronic impurity systems. Compared with the original theoretical formalism, the quadratic couplings are introduced into the Hamiltonian…

强关联电子 · 物理学 2023-07-12 Yu Su , Zi-Hao Chen , Yao Wang , Xiao Zheng , Rui-Xue Xu , YiJing Yan

This work develops a dynamic homogenization approach for metamaterials. It finds an approximate macroscopic homogenized equation with constant coefficients posed in space and time; however, the resulting homogenized equation is higher order…

偏微分方程分析 · 数学 2022-06-23 Kshiteej Deshmukh , Timothy Breitzman , Kaushik Dayal

We develop the extended dynamical mean field theory (E-DMFT) with a view towards realistic applications. {\bf 1)} We introduce an intuitive derivation of the E-DMFT formalism. By identifying the Hartree contributions before the E-DMFT…

强关联电子 · 物理学 2009-11-07 Ping Sun , Gabriel Kotliar

We present a new method for the analysis of electromagnetic scattering from homogeneous penetrable bodies. Our approach is based on a reformulation of the governing Maxwell equations in terms of two uncoupled vector Helmholtz systems: one…

数学物理 · 物理学 2017-04-25 Felipe Vico , Leslie Greengard , Miguel Ferrando

We present a domain decomposition approach for the computation of the electromagnetic field within periodic structures. We use a Schwarz method with transparent boundary conditions at the interfaces of the domains. Transparent boundary…

数值分析 · 数学 2011-02-24 Achim Schädle , Lin Zschiedrich , Sven Burger , Roland Klose , Frank Schmidt

The simulation of strongly correlated quantum impurity models is a significant challenge in modern condensed matter physics that has multiple important applications. Thus far, the most successful methods for approaching this challenge…

We consider M clusters of interacting particles, whose in-group interactions are arbitrary, and inter-group interactions are approximated by oscillator potentials. We show that there are masses and frequencies that decouple the in-group and…

A dynamic density-matrix renormalisation group approach to the spectral properties of quantum impurity problems is presented. The method is demonstrated on the spectral density of the flat-band symmetric single-impurity Anderson model. We…

强关联电子 · 物理学 2007-05-23 Satoshi Nishimoto , Eric Jeckelmann

Two non-overlapping domain decomposition methods are presented for the mixed finite element formulation of linear elasticity with weakly enforced stress symmetry. The methods utilize either displacement or normal stress Lagrange multiplier…

数值分析 · 数学 2017-11-28 Eldar Khattatov , Ivan Yotov

An exactly solvable one-dimensional Hubbard model with a single Anderson impurity embedded at the boundary is constructed in the framework of the quantum inverse scattering method. The model is solved exactly by the nested Bethe ansatz…

数学物理 · 物理学 2025-09-10 Renjie Song , Mingchen Zheng , Junpeng Cao , Yupeng Wang

Electronic friction-Langevin dynamics (EF-LD) provides an efficient framework for capturing nonadiabatic effects at solid surfaces, with particular relevance to electrochemistry and molecular electronics. In this work, we investigate…

化学物理 · 物理学 2026-05-26 Yunhao Liu , Wenjie Dou

Dynamic mode decomposition (DMD) is an efficient tool for decomposing spatio-temporal data into a set of low-dimensional modes, yielding the oscillation frequencies and the growth rates of physically significant modes. In this paper, we…

动力系统 · 数学 2023-02-21 Minwoo Lee , Jongho Park

We extend the nonequilibrium dynamical mean field (DMFT) formalism to inhomogeneous systems by adapting the "real-space" DMFT method to Keldysh Green's functions. Solving the coupled impurity problems using strong-coupling perturbation…

强关联电子 · 物理学 2014-08-15 Martin Eckstein , Philipp Werner

A system of equations resulting from an approximation of the equation of motion of Green functions for correlated electron systems is usually solved using Matsubara technique. In this work we propose an alternative method which works…

强关联电子 · 物理学 2007-05-23 M. Letz , F. Marsiglio

Quantum computers (QC) could harbor the potential to significantly advance materials simulations, particularly at the atomistic scale involving strongly correlated fermionic systems where an accurate description of quantum many-body effects…