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We have analyzed the behavior of a mobile quantum impurity in a bath formed by a two-leg bosonic ladder by a combination of field theory (Tomonaga-Luttinger liquid) and numerical (Density Matrix Renormalization Group) techniques. Computing…

Quantum Gases · Physics 2019-08-21 Naushad Ahmad Kamar , Adrian Kantian , Thierry Giamarchi

A path integral Monte Carlo method (PIMC) based on Feynman-Kac formula for mixed boundary conditions of elliptic equations is proposed to solve the forward problem of electrical impedance tomography (EIT) on the boundary to obtain…

Numerical Analysis · Mathematics 2019-08-01 Yijing Zhou , Wei Cai

We develop a projective quantum Monte Carlo algorithm of the Hirsch-Fye type for obtaining ground state properties of the Anderson impurity model. This method is employed to solve the self-consistency equations of dynamical mean field…

Strongly Correlated Electrons · Physics 2007-05-23 M. Feldbacher , K. Held , F. F. Assaad

The Boltzmann equation for inelastic Maxwell models is considered in order to investigate the dynamics of an impurity (or intruder) immersed in a granular gas driven by a uniform shear flow. The analysis is based on an exact solution of the…

Statistical Mechanics · Physics 2015-06-03 V. Garzó , E. Trizac

In general, matrix or tensor-valued functions are approximated using the method developed for vector-valued functions by transforming the matrix-valued function into vector form. This paper proposes a tensor-based interpolation method to…

Numerical Analysis · Mathematics 2026-05-08 Brij Nandan Tripathi , Hanumant Singh Shekhawat , Seip Weiland

Though the method-of-moments implementation of the electric-field integral equation plays an important role in computational electromagnetics, it provides many code-verification challenges due to the different sources of numerical error. In…

Computational Physics · Physics 2021-07-15 Brian A. Freno , Neil R. Matula , William A. Johnson

A new method is proposed for practical calculation of the effective interaction between impurity scatterers in superconductors, based on algebraic properties of related Nambu matrices for Green functions. In particular, we show that the…

Superconductivity · Physics 2009-11-10 Yu. G. Pogorelov , V. M. Loktev

We study the dynamics of the quenched Anderson model at finite temperature using matrix product states. Exploiting a chain mapping for the electron bath, we investigate the entanglement structure in the MPS for various orderings of the two…

Strongly Correlated Electrons · Physics 2021-07-08 Lucas Kohn , Giuseppe E. Santoro

In the present paper, we present an efficient continuous-time quantum Monte Carlo impurity solver with high acceptance rate at low temperature for multi-orbital quantum impurity models with general interaction. In this hybridization…

Strongly Correlated Electrons · Physics 2019-02-20 Changming Yue , Yilin Wang , Junya Otsuki , Xi Dai

We present a diagrammatic Monte Carlo method for quantum impurity problems with general interactions and general hybridization functions. Our method uses a recursive determinant scheme to sample diagrams for the scattering amplitude. Unlike…

Strongly Correlated Electrons · Physics 2020-08-13 Jia Li , Markus Wallerberger , Emanuel Gull

Entanglement in J_1-J_2, S=1/2 quantum spin chains with an impurity is studied using analytic methods as well as large scale numerical density matrix renormalization group methods. The entanglement is investigated in terms of the von…

Strongly Correlated Electrons · Physics 2011-11-09 Erik S. Sørensen , Ming-Shyang Chang , Nicolas Laflorencie , Ian Affleck

We used methods of Bayesian statistical inference and the principle of maximum entropy to analytically continue imaginary-time Green's function generated in quantum Monte Carlo simulations to obtain the real-time Green's functions. For test…

Condensed Matter · Physics 2009-10-28 J. Bonca , J. E. Gubernatis

Motivated by recent experimental refinements of stellar reaction rates, we establish a non-perturbative Green's function formalism based on the exact solution of the Dyson equation for sub-barrier proton-nucleus resonant scattering. By…

Nuclear Theory · Physics 2026-03-19 Bahruz Suleymanli , Kutsal Bozkurt

Direct numerical evaluation of the real-time path integral has a well-known sign problem that makes convergence exponentially slow. One promising remedy is to use Picard-Lefschetz theory to flow the domain of the field variables into the…

High Energy Physics - Lattice · Physics 2019-06-19 Zong-Gang Mou , Paul M. Saffin , Anders Tranberg , Simon Woodward

It has been argued by Grigoriev and Rubakov that one can simulate real time processes involving baryon number non-conservation at high temperature using real time evolution of classical equations, and summing over initial conditions with a…

High Energy Physics - Theory · Physics 2008-11-26 Dietrich Bödeker , Larry McLerran , Andrei Smilga

We study non-equilibrium electron transport through a quantum dot coupled to metallic leads. We use an alternative equation of motion approach in which we calculate the retarded Green function of the impurity by differentiating Green…

Mesoscale and Nanoscale Physics · Physics 2014-12-23 Grzegorz Górski , Jerzy Mizia , Krzysztof Kucab

Although several impurity solvers in the dynamical mean field theory (DMFT) have been proposed, especially in multi-band systems, there are practical difficulties arising from a trade-off between numerical costs and reliability. In this…

Strongly Correlated Electrons · Physics 2021-08-04 Ryota Mizuno , Masayuki Ochi , Kazuhiko Kuroki

The impurity density in high-purity germanium detectors is crucial to understand and simulate such detectors. However, the information about the impurities provided by the manufacturer, based on Hall effect measurements, is typically…

Instrumentation and Detectors · Physics 2026-02-17 Iris Abt , Christopher Gooch , Felix Hagemann , Lukas Hauertmann , Xiang Liu , Oliver Schulz , Martin Schuster

Dynamical mean-field theory (DMFT) maps the local Green's function of the Hubbard model to that of the Anderson impurity model and thus gives an approximate solution of the Hubbard model from the solution of simpler quantum impurity model.…

A fast impurity solver for the dynamical mean field theory(DMFT) named Two Mode Approxi- mation (TMA) is proposed based on the Gutzwiller variational approach, which captures the main features of both the coherent and incoherent motion of…

Strongly Correlated Electrons · Physics 2010-04-07 Jia-Ning Zhuang , Lei Wang , Zhong Fang , Xi Dai