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Connecting orbits are important invariant structures in the state space of nonlinear systems and various techniques are designed for their computation. However, a uniform analytic approximation of the whole orbit seems rare. Here, based on…

Mathematical Physics · Physics 2025-07-02 Pengfei Guo , Yueheng Lan , Jianyong Qiao

We propose a density matrix renormalization group approach to tackle a two-state system coupled to a bosonic bath with continuous spectrum. In this approach, the optimized phonon scheme is applied to several hundred phonon modes which are…

Strongly Correlated Electrons · Physics 2008-05-31 Hang Wong , Zhi-De Chen

Using the Density Matrix Renormalization Group technique we study the effect of spin-orbit coupling on a three-orbital Hubbard model in the $(t_{2g})^{4}$ sector and in one dimension. Fixing the Hund coupling to a robust value compatible…

Strongly Correlated Electrons · Physics 2017-10-18 Nitin Kaushal , Jacek Herbrych , Alberto Nocera , Gonzalo Alvarez , Adriana Moreo , F. A. Reboredo , Elbio Dagotto

We demonstrate the simultaneous quantum state reconstruction of the spectral modes of the light field emitted by a continuous wave degenerate optical parametric amplifier. The scheme is based on broadband measurement of the quantum…

Quantum Physics · Physics 2009-10-31 Gerd Breitenbach , Fabrizio Illuminati , Stephan Schiller , Jurgen Mlynek

We use density-matrix renormalization group, applied to a one-dimensional model of continuum Hamiltonians, to accurately solve chains of hydrogen atoms of various separations and numbers of atoms. We train and test a machine-learned…

Strongly Correlated Electrons · Physics 2016-12-28 Li Li , Thomas E. Baker , Steven R. White , Kieron Burke

We show that the functional renormalization group is a numerically cheap method to obtain the low-energy behavior of the Anderson impurity model describing a localized interacting electron coupled to a bath of conduction electrons. Our…

Strongly Correlated Electrons · Physics 2013-05-23 Simon Streib , Aldo Isidori , Peter Kopietz

We study the dynamical response of the half-filled one-dimensional(1d) Hubbard model for a range of interaction strengths $U$ and temperatures $T$ by a combination of numerical and analytical techniques. Using time-dependent density matrix…

Strongly Correlated Electrons · Physics 2018-02-07 Alberto Nocera , Fabian H. L. Essler , Adrian E. Feiguin

The functional renormalization group method is used to take into account the vacuum polarization around localized bound states generated by external potential. The application to Atomic Physics leads to improved Hartree-Fock and Kohn-Sham…

Strongly Correlated Electrons · Physics 2007-05-23 Janos Polonyi

We investigate the multi-particle states of the (1+1)-dimensional Ising model using a spectroscopy scheme based on the tensor renormalization group method. We start by computing the finite-volume energy spectrum of the model from the…

High Energy Physics - Lattice · Physics 2026-02-17 Fathiyya Izzatun Az-zahra , Shinji Takeda , Takeshi Yamazaki

By using the density matrix renormalization group (DMRG) technique, the incommensurate quantum Frenkel-Kontorova model is investigated numerically. It is found that when the quantum fluctuation is strong enough, the \emph{g}-function…

Other Condensed Matter · Physics 2009-11-11 B. Hu , J. X. Wang

Thermodynamic properties of the one-dimensional Kondo lattice model at half-filling are studied by the density matrix renormalization group method applied to the quantum transfer matrix. Spin susceptibility, charge susceptibility, and…

Strongly Correlated Electrons · Physics 2007-05-23 N. Shibata , B. Ammon , M. Troyer , M. Sigrist , K. Ueda

We present a spectroscopy scheme for the lattice field theory by using the tensor renormalization group method combining with the transfer matrix formalism. By using the scheme, we cannot only compute the energy spectrum for the lattice…

High Energy Physics - Lattice · Physics 2024-08-29 Fathiyya Izzatun Az-zahra , Shinji Takeda , Takeshi Yamazaki

The blind deconvolution problem aims to recover a rank-one matrix from a set of rank-one linear measurements. Recently, Charisopulos et al. introduced a nonconvex nonsmooth formulation that can be used, in combination with an initialization…

Optimization and Control · Mathematics 2019-11-21 Mateo Díaz

We study the limits of the energy resolution that can be achieved in the calculations of spectral functions of quantum impurity models using the numerical renormalization group (NRG) technique with interleaving (z-averaging). We show that…

Strongly Correlated Electrons · Physics 2009-03-05 Rok Zitko , Thomas Pruschke

We present a new method for blind motion deblurring that uses a neural network trained to compute estimates of sharp image patches from observations that are blurred by an unknown motion kernel. Instead of regressing directly to patch…

Computer Vision and Pattern Recognition · Computer Science 2016-08-02 Ayan Chakrabarti

In this article we apply a recently invented analytical real-space renormalization group formulation which is based on numerical concepts of the density matrix renormalization group. Within a rigorous mathematical framework we construct…

Statistical Mechanics · Physics 2009-10-31 Andreas Degenhard

We develop a numerical method to compute the negativity, an entanglement measure for mixed states, between the impurity and the bath in quantum impurity systems at finite temperature. We construct a thermal density matrix by using the…

Mesoscale and Nanoscale Physics · Physics 2018-08-28 Jeongmin Shim , H. -S. Sim , Seung-Sup B. Lee

A new approach for calculating spectral density functions of strongly correlated electron systems is proposed within the exact diagonalization method of dynamical mean-field theory (DMFT). This approach is based on the analytic continuation…

Strongly Correlated Electrons · Physics 2016-10-05 Song-Jin O , Hak-Chol Pak , Kwang-Il Ryom , Song-Jin Im

Current widely-used approaches to calculate spectral functions using the density-matrix renormalization group in frequency space either necessarily include an artificial broadening (correction-vector method) or have limited resolution…

Strongly Correlated Electrons · Physics 2011-04-27 P. E. Dargel , A. Honecker , R. Peters , R. M. Noack , T. Pruschke

The density-matrix renormalization group (DMRG) is a numerical algorithm for the efficient truncation of the Hilbert space of low-dimensional strongly correlated quantum systems based on a rather general decimation prescription. This…

Strongly Correlated Electrons · Physics 2009-11-10 Ulrich Schollwoeck