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The density-matrix renormalization group
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 …
truncation of the Hilbert space of low-dimensional strongly correlated quantum systems …
Numerical renormalization group method for quantum impurity systems
In the early 1970s, Wilson developed the concept of a fully nonperturbative renormalization
group transformation. When applied to the Kondo problem, this numerical renormalization …
group transformation. When applied to the Kondo problem, this numerical renormalization …
The density-matrix renormalization group in the age of matrix product states
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 …
last decade as the leading method for the simulation of the statics and dynamics of one …
Efficient real-frequency solver for dynamical mean-field theory
We here present how a self-consistent solution of the dynamical mean-field theory equations
can be obtained using exact diagonalization of an Anderson impurity model with accuracies …
can be obtained using exact diagonalization of an Anderson impurity model with accuracies …
New trends in density matrix renormalization
The density matrix renormalization group (DMRG) has become a powerful numerical
method that can be applied to low-dimensional strongly correlated fermionic and bosonic …
method that can be applied to low-dimensional strongly correlated fermionic and bosonic …
Efficient low-temperature simulations for fermionic reservoirs with the hierarchical equations of motion method: Application to the Anderson impurity model
The hierarchical equations of motion (HEOM) approach is an accurate method to simulate
open system quantum dynamics, which allows for systematic convergence to numerically …
open system quantum dynamics, which allows for systematic convergence to numerically …
Sparse modeling approach to analytical continuation of imaginary-time quantum Monte Carlo data
A data-science approach to solving the ill-conditioned inverse problem for analytical
continuation is proposed. The root of the problem lies in the fact that even tiny noise of …
continuation is proposed. The root of the problem lies in the fact that even tiny noise of …
World-line and determinantal quantum Monte Carlo methods for spins, phonons and electrons
In this chapter we will concentrate primarily on world-line methods with loop updates, for
spins and also for spin-phonon systems, as well as on the auxiliary field quantum Monte …
spins and also for spin-phonon systems, as well as on the auxiliary field quantum Monte …
Strong Coupling Nature of the Excitonic Insulator State in
We analyze the measured optical conductivity spectra using the density-functional-theory-
based electronic structure calculation and density-matrix renormalization group calculation …
based electronic structure calculation and density-matrix renormalization group calculation …
Spectral functions with the density matrix renormalization group: Krylov-space approach for correction vectors
Frequency-dependent correlations, such as the spectral function and the dynamical
structure factor, help illustrate condensed matter experiments. Within the density matrix …
structure factor, help illustrate condensed matter experiments. Within the density matrix …