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We extend the symmetrized density matrix renormalization group (SDMRG) method to compute the dynamic nonlinear optic coefficients for long chains. By computing correction vectors in the appropriate symmetry subspace we obtain the dynamic…

Condensed Matter · Physics 2007-05-23 Swapan K. Pati , S. Ramasesha , Z. Shuai , J. L. Bredas

We study the dynamical density matrix renormalization group (DDMRG) and time-dependent density matrix renormalization group (td-DMRG) algorithms in the ab initio context, to compute dynamical correlation functions of correlated systems. We…

Chemical Physics · Physics 2017-11-21 Enrico Ronca , Zhendong Li , Carlos A. Jimenez-Hoyos , Garnet Kin-Lic Chan

We present a relativistic time-dependent density functional theory (TDDFT) approach for the simulation of resonant inelastic X-ray scattering (RIXS) spectra, based on both a full four-component (4c) Dirac-Coulomb Hamiltonian and a modern…

Chemical Physics · Physics 2026-04-17 Lukas Konecny , Muhammed A. Dada , Daniel R. Nascimento , Michal Repisky

The physical properties of a quantum many-body system can, in principle, be determined by diagonalizing the respective Hamiltonian, but the dimensions of its matrix representation scale exponentially with the number of degrees of freedom.…

Strongly Correlated Electrons · Physics 2023-09-13 G. Catarina , Bruno Murta

Density Matrix Renormalization Group (DMRG) algorithm has been extremely successful for computing the ground states of one-dimensional quantum many-body systems. For problems concerned with mixed quantum states, however, it is less…

Strongly Correlated Electrons · Physics 2022-06-01 Chu Guo

We investigate theoretically the resonant inelastic x-ray scattering (RIXS) at the $K$ edge of Si on the basis of an ab initio calculation. We calculate the RIXS spectra with systematically varying transfered-momenta, incident-photon energy…

Materials Science · Physics 2007-05-23 Yunori Nisikawa , Manabu Usuda , Jun-ichi Igarashi

Recent experiments show that indirect resonant inelastic X-ray scattering (RIXS) is a new probe of spin dynamics. Here I derive the cross-section for magnetic RIXS and determine the momentum dependent four-spin correlation function that it…

Strongly Correlated Electrons · Physics 2015-06-25 Jeroen van den Brink

The density-matrix renormalization group method (DMRG) has established itself over the last decade as the leading method for the simulation of the statics and dynamics of one-dimensional strongly correlated quantum lattice systems. In the…

Strongly Correlated Electrons · Physics 2011-01-04 Ulrich Schollwoeck

This paper provides a brief overview of applications of advanced X-ray spectroscopic techniques that take advantage of the resonant inelastic X-ray scattering (RIXS) in the hard and tender x-ray range and have recently become available for…

Materials Science · Physics 2014-01-08 K. O. Kvashnina , S. M. Butorin

The density matrix renormalization group (DMRG) algorithm is a cornerstone computational method for studying quantum many-body systems, renowned for its accuracy and adaptability. Despite DMRG's broad applicability across fields such as…

Computational Physics · Physics 2026-03-24 Per Sehlstedt , Jan Brandejs , Paolo Bientinesi , Lars Karlsson

We calculate the resonant inelastic X-ray scattering (RIXS) response in a Mott insulator which is described by the Falicov-Kimball model. The model can be solved exactly within the single site dynamical mean-field theory (DMFT)…

Strongly Correlated Electrons · Physics 2015-03-31 Nandan Pakhira , J. K. Freericks , A. M. Shvaika

We analyze resonant inelastic x-ray scattering (RIXS) at the Cu K edge in a typical orbital-ordered compound KCuF3 on the basis of a microscopic theory. Spectral shape and its dependence on polarization direction and momentum transfer of…

Strongly Correlated Electrons · Physics 2014-06-20 Takuji Nomura

We study the resonant inelastic x-ray scattering (RIXS) at the $K$ edge of Ge. We measure RIXS spectra with systematically varying momenta in the final state. The spectra are a measure of exciting an electron-hole pair. We find a single…

Materials Science · Physics 2007-05-23 Yunori Nisikawa , Manabu Usuda , Jun-ichi Igarashi , Hironobu Shoji , Toshiaki Iwazumi

We investigate convergence of the density matrix renormalization group (DMRG) in the thermodynamic limit for gapless systems. Although the DMRG correlations always decay exponentially in the thermodynamic limit, the correlation length at…

Strongly Correlated Electrons · Physics 2009-10-31 Martin Andersson , Magnus Boman , Stellan Ostlund

We propose a simple modification of the density matrix renormalization group (DMRG) method in order to tackle strongly disordered quantum spin chains. Our proposal, akin to the idea of the adaptive time-dependent DMRG, enables us to reach…

Strongly Correlated Electrons · Physics 2018-11-14 J. C. Xavier , J. A. Hoyos , E. Miranda

The density matrix renormalization group method is generalized to one dimensional random systems. Using this method, the energy gap distribution of the spin-1/2 random antiferromagnetic Heisenberg chain is calculated. The results are…

Condensed Matter · Physics 2009-10-28 Kazuo Hida

The density matrix renormalization group (DMRG) approach is extended to complex-symmetric density matrices characteristic of many-body open quantum systems. Within the continuum shell model, we investigate the interplay between many-body…

Nuclear Theory · Physics 2009-11-11 J. Rotureau , N. Michel , W. Nazarewicz , M. Ploszajczak , J. Dukelsky

We study two-magnon excitations in resonant inelastic x-ray scattering (RIXS) at the transition-metal $K$-edge. Instead of working with effective Heisenberg spin models, we work with a Hubbard-type model ($d$-$p$ model) for a typical…

Strongly Correlated Electrons · Physics 2017-10-18 Takuji Nomura

Resonant inelastic X-ray scattering (RIXS) is a powerful photon-in, photon-out spectroscopy technique for probing electronic, magnetic, and lattice excitations in matter. Time-resolved RIXS extends this capability through a stroboscopic…

Resonant inelastic x-ray scattering (RIXS) has become a prominent technique to study quasiparticle excitations. With advances in polarization analysis capabilities at different facilities, RIXS offers exceptional potential for investigating…

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