The density matrix renormalization group in chemistry and molecular physics: Recent developments and new challenges
In the past two decades, the density matrix renormalization group (DMRG) has emerged as
an innovative new method in quantum chemistry relying on a theoretical framework very …
an innovative new method in quantum chemistry relying on a theoretical framework very …
Colloquium: Area laws for the entanglement entropy
Physical interactions in quantum many-body systems are typically local: Individual
constituents interact mainly with their few nearest neighbors. This locality of interactions is …
constituents interact mainly with their few nearest neighbors. This locality of interactions is …
Matrix product states, projected entangled pair states, and variational renormalization group methods for quantum spin systems
Full article: Matrix product states, projected entangled pair states, and variational
renormalization group methods for quantum spin systems Skip to Main Content Taylor and …
renormalization group methods for quantum spin systems Skip to Main Content Taylor and …
Renormalization and tensor product states in spin chains and lattices
JI Cirac, F Verstraete - Journal of physics a: mathematical and …, 2009 - iopscience.iop.org
We review different descriptions of many-body quantum systems in terms of tensor product
states. We introduce several families of such states in terms of the known renormalization …
states. We introduce several families of such states in terms of the known renormalization …
Area laws for the entanglement entropy-a review
Physical interactions in quantum many-body systems are typically local: Individual
constituents interact mainly with their few nearest neighbors. This locality of interactions is …
constituents interact mainly with their few nearest neighbors. This locality of interactions is …
Simulation of two-dimensional quantum systems on an infinite lattice revisited: Corner transfer matrix for tensor contraction
An extension of the projected entangled-pair states (PEPS) algorithm to infinite systems,
known as the iPEPS algorithm, was recently proposed to compute the ground state of …
known as the iPEPS algorithm, was recently proposed to compute the ground state of …
Variational study of hard-core bosons in a two-dimensional optical lattice using projected entangled pair states
We have studied the system of hard-core bosons on a two-dimensional optical lattice using
a variational algorithm based on projected entangled-pair states. We have investigated the …
a variational algorithm based on projected entangled-pair states. We have investigated the …
Fermionic projected entangled pair states
We introduce a family of states, the fermionic projected entangled pair states (fPEPS), which
describe fermionic systems on lattices in arbitrary spatial dimensions. It constitutes the …
describe fermionic systems on lattices in arbitrary spatial dimensions. It constitutes the …
Tensor network study of the Shastry-Sutherland model in zero magnetic field
We simulate the Shastry-Sutherland model in two dimensions by means of infinite projected
entangled-pair states (iPEPS)—a variational tensor network method where the accuracy can …
entangled-pair states (iPEPS)—a variational tensor network method where the accuracy can …
Frustration and the Kondo effect in heavy fermion materials
P Coleman, AH Nevidomskyy - Journal of Low Temperature Physics, 2010 - Springer
The observation of a separation between the antiferromagnetic phase boundary and the
small-large Fermi surface transition in recent experiments has led to the proposal that …
small-large Fermi surface transition in recent experiments has led to the proposal that …