The density matrix renormalization group (DMRG) is a numerical variational technique devised to obtain the low-energy physics of quantum many-body systems...

one dimensional strongly correlated quantum systems – the density matrix renormalization group (DMRG) algorithm. For a system of N {\displaystyle N} spins...

In theoretical physics, the renormalization group (RG) is a formal apparatus that allows systematic investigation of the changes of a physical system...

"Entanglement Renormalization: an introduction". arXiv:0912.1651 [quant-ph]. Schollwock, Ulrich (20 Aug 2010). "The density-matrix renormalization group in the...

G. (1998). Equivalence of the variational matrix product method and the density matrix renormalization group applied to spin chains. Europhysics letters...

quantum spin liquids. He is most known for inventing the Density Matrix Renormalization Group (DMRG) in 1992. This is a numerical variational technique...

block device, as in the Unix File System Superblock, in the density matrix renormalization group numerical technique Superblock algorithm, in the pairwise...

bound to the ground state energy. The Hartree–Fock method, density matrix renormalization group, and Ritz method apply the variational method. Suppose we...

Costello's monograph Renormalization and Effective Field Theory provides a rigorous formulation of perturbative renormalization that combines both the...

Carlo method QMC@Home Quantum chemistry Quantum Markov chain Density matrix renormalization group Time-evolving block decimation Metropolis–Hastings algorithm...

higher-order. Many numerical methods such as the Lanczos algorithm, Density Matrix Renormalization Group (DMRG), and other tensor network algorithms are relatively...

reduces the complexity of quantum many-body systems. The density matrix renormalization group and matrix product states, for example, implicitly rely on such...

PCP theorem is an open problem. Hamiltonian simulation Density matrix renormalization group Matrix product state Osborne, Tobias J. (2011). "Hamiltonian...

[citation needed] One-dimensional lattices may be studied using density matrix renormalization group (DMRG) and related techniques such as time-evolving block...

S2CID 55330505. Schollwöck, Ulrich (2011). "The density-matrix renormalization group in the age of matrix product states". Annals of Physics. 326 (1): 96–192...

Nevertheless, they exhibit a non-trivial ultraviolet fixed point of the renormalization group both in the lattice formulation and in the double expansion originally...

Hartree–Fock method, 1964 density functional theory and variational Monte Carlo and 1992 density matrix renormalization group (DMRG).[citation needed]...

Hallberg worked on several numerical tools, including the density matrix renormalization group (DMRG), a numerical method that can be used for low-dimensional...

approaches Density functional theory Lattice gauge theory Matrix product state Neural network quantum states Numerical renormalization group Jenkins, Stephen...

usually followed by a related, but independent technique called renormalization. Renormalization is based on the requirement that some physical quantities —...

off-diagonal matrix elements and gauge projections. Physical quantities can then be computed from the right and left LFCC eigenstates. Renormalization concepts...

computational techniques is crucial. He has employed Monte Carlo, density matrix renormalization group, and Lanczos methods. Together with collaborators, he also...

though renormalization works well in practice, Feynman was never entirely comfortable with its mathematical validity, referring to renormalization as a...

exponential scaling, including quantum Monte Carlo and the density matrix renormalization group. Guifré Vidal proposed the scheme while at the Institute...

to say that the quantization and renormalization prescriptions were as much part of the model as the Lagrangian density, especially when they relied on...

Cirac, J. I.; Murg, V. (2008). "Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems"...

physics, particularly for his development of density matrix renormalization group methods and the density matrix embedding theory. Theodore Betley (2013,...

Moreover, the matrix coefficients of the irreducible unitary representations form an orthonormal basis of L2(G). In the case that G is the group of unit complex...

signatures. Two years later, his group explored the extended spin-1/2 honeycomb XY model using density matrix renormalization group theory, revealing the emergence...

Kosterlitz–Thouless transition for vortices can therefore be derived from a renormalization group analysis of the sine-Gordon field theory. The sine-Gordon equation...