147 citations · 381 across the 5 of their papers we have counts for
6 papers
Matrix product states for critical spin chains: finite size scaling versus finite entanglement scaling
B. Pirvu, G. Vidal, F. Verstraete +1
We investigate the use of matrix product states (MPS) to approximate ground states of critical quantum spin chains with periodic boundary conditions (PBC). We identify two regimes…
A matrix product state based algorithm for determining dispersion relations of quantum spin chains with periodic boundary conditions
Bogdan Pirvu, Jutho Haegeman, Frank Verstraete
We study a matrix product state (MPS) algorithm to approximate excited states of translationally invariant quantum spin systems with periodic boundary conditions. By means of a mom…
Variational matrix product ansatz for dispersion relations
Jutho Haegeman, Bogdan Pirvu, David J. Weir +4
A variational ansatz for momentum eigenstates of translation invariant quantum spin chains is formulated. The matrix product state ansatz works directly in the thermodynamic limit…
Exploiting translational invariance in Matrix Product State simulations of spin chains with periodic boundary conditions
B. Pirvu, F. Verstraete, G. Vidal
We present a matrix product state (MPS) algorithm to approximate ground states of translationally invariant systems with periodic boundary conditions. For a fixed value of the bond…
Valence Bond States: Link models
E. Rico, R. Hübener, S. Montangero +4
An isotropic anti-ferromagnetic quantum state on a square lattice is characterized by symmetry arguments only. By construction, this quantum state is the result of an underlying va…
Matrix product operator representations
V. Murg, J. I. Cirac, B. Pirvu +1
We show how to construct relevant families of matrix product operators in one and higher dimensions. Those form the building blocks for the numerical simulation methods based on ma…