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We construct generally applicable short-time perturbative expansions for some fidelities, such as the input-output fidelity, the entanglement fidelity, and the average fidelity. Successive terms of these expansions yield characteristic…

Quantum Physics · Physics 2009-10-30 Lu-Ming Duan , Guang-Can Guo

We find all factorized duality functions for a class of interacting particle systems. The functions we recover are self-duality functions for interacting particle systems such as zero-range processes, symmetric inclusion and exclusion…

Probability · Mathematics 2018-08-01 Frank Redig , Federico Sau

An overarching question in strongly correlated electron systems is how the landscape of quantum phases emerges from electron correlations. The method of extended dynamical mean field theory (EDMFT) has been developed for clean lattice…

Strongly Correlated Electrons · Physics 2022-10-26 Haoyu Hu , Lei Chen , Qimiao Si

We describe an aberration of the resampling estimator for the Green's function customarily used in hybridization expansion continuous-time quantum Monte Carlo. It occurs due to Pauli principle constraints in calculations of Anderson…

Strongly Correlated Electrons · Physics 2022-11-14 Andreas Hausoel , Markus Wallerberger , Josef Kaufmann , Karsten Held , Giorgio Sangiovanni

In this paper, we present an efficient and stable method to determine the one-particle Green's function in the hybridization-expansion continuous-time (CT-HYB) quantum Monte Carlo method, within the framework of the dynamical mean-field…

Strongly Correlated Electrons · Physics 2012-03-07 Gang Li , Werner Hanke

The equilibration of electronic carriers in metals after excitation by an ultra-short laser pulse provides an important class of non-equilibrium phenomena in metals and allows measuring the effective electron-phonon coupling parameter.…

Materials Science · Physics 2022-10-06 Peter Kratzer , Laurenz Rettig , Irina Yu. Sklyadneva , Evgueni V. Chulkov , Uwe Bovensiepen

An extension of the empirical copula is considered by combining an estimator of a multivariate cumulative distribution function with estimators of the marginal cumulative distribution functions for marginal estimators that are not…

Methodology · Statistics 2014-12-01 Johan Segers

If the Electroweak Symmetry Breaking Sector turns out to be strongly interacting, the actively investigated effective theory for longitudinal gauge bosons plus Higgs can be efficiently extended to cover the regime of saturation of unitarity…

High Energy Physics - Phenomenology · Physics 2015-05-06 Rafael L. Delgado , Antonio Dobado , Felipe J. Llanes-Estrada

For fast and accurate calculations of band gaps of solids, we present an {\it ab initio} method that extends the density functional theory plus on-site Hubbard interaction (DFT+$U$) to include inter-site Hubbard interaction ($V$). This…

Materials Science · Physics 2021-01-14 Sang-Hoon Lee , Young-Woo Son

We use the dynamical mean field theory to develop a systematic and computationally tractable method for studying electron-phonon interactions in systems with arbitrary electronic correlations. The method is formulated as an adiabatic…

Strongly Correlated Electrons · Physics 2009-10-31 A. Deppeler , A. J. Millis

We describe a variational method to solve the Holstein model for an electron coupled to dynamical, quantum phonons on an infinite lattice. The variational space can be systematically expanded to achieve high accuracy with modest…

Strongly Correlated Electrons · Physics 2009-10-31 J. Bonca , S. A. Trugman , I. Batistic

We investigate how the coherence and spatial dressing of a single impurity evolve in the two-dimensional Bose-Hubbard model when the impurity couples attractively to the bath. Using large-scale, sign-problem-free worm-algorithm quantum…

Quantum Gases · Physics 2026-02-09 Chao Zhang

A coupled hybridizable discontinuous Galerkin (HDG) and boundary integral (BI) method is proposed to efficiently analyze electromagnetic scattering from inhomogeneous/composite objects. The coupling between the HDG and the BI equations is…

Computational Engineering, Finance, and Science · Computer Science 2023-06-21 Ran Zhao , Ming Dong , Liang Chen , Jun Hu , Hakan Bagci

In this paper, we propose a new analytic continuation method to extract real frequency spectral functions from imaginary frequency Green's functions of quantum many-body systems. This method is based on the pole representation of Matsubara…

Strongly Correlated Electrons · Physics 2024-05-15 Li Huang , Shuang Liang

We study the bound states of a three-dimensional Holstein polaron near various kinds of single impurities, using the momentum average approximation. We show that the electron-phonon coupling is responsible for a strong renormalization of…

Strongly Correlated Electrons · Physics 2012-04-12 Hadi Ebrahimnejad , Mona Berciu

A simple impurity solver is shown to capture the impurity-induced superconducting subgap states in quantitative agreement with the numerical renormalization group and quantum Monte-Carlo simulations. The solver is based on the exact…

Superconductivity · Physics 2023-12-21 Virgil V. Baran , Emil J. P. Frost , Jens Paaske

We introduce an alternative to the method of matched asymptotic expansions. In the "traditional" implementation, approximate solutions, valid in different (but overlapping) regions are matched by using "intermediate" variables. Here we…

Fluid Dynamics · Physics 2017-01-23 Luiz M. Faria , Rodolfo R. Rosales

In polar semiconductors and insulators, the Fr\"ohlich interaction between electrons and long-wavelength longitudinal optical phonons induces a many-body renormalization of the carrier effective masses and the appearence of characteristic…

Materials Science · Physics 2022-03-10 Nikolaus Kandolf , Carla Verdi , Feliciano Giustino

A new sampling methodology based on incomplete cosine expansion series is presented as an alternative to the traditional sinc function approach. Numerical integration shows that this methodology is efficient and practical. Applying the…

Numerical Analysis · Mathematics 2015-03-24 S. M. Abrarov , B. M. Quine

A recently developed linear algebraic method for the computation of perturbation expansion coefficients to large order is applied to the problem of a hydrogenic atom in a magnetic field. We take as the zeroth order approximation the $D…

chem-ph · Physics 2009-10-22 Timothy C. Germann , Dudley R. Herschbach , Bruce M. Boghosian