104 citations · 519 across the 34 of their papers we have counts for
5 papers · 2 filters
Diagonalizing transfer matrices and matrix product operators: a medley of exact and computational methods
Jutho Haegeman, Frank Verstraete
Transfer matrices and matrix product operators play an ubiquitous role in the field of many body physics. This paper gives an ideosyncratic overview of applications, exact results…
Fermionic Matrix Product States and One-Dimensional Topological Phases
Nick Bultinck, Dominic J. Williamson, Jutho Haegeman +1
We develop the formalism of fermionic matrix product states (fMPS) and show how irreducible fMPS fall in two different classes, related to the different types of simple $\mathbb{Z}…
Condensation-Driven Phase Transitions in Perturbed String Nets
Michaël Mariën, Jutho Haegeman, Paul Fendley +1
We develop methods to probe the excitation spectrum of topological phases of matter in two spatial dimensions. Applying these to the Fibonacci string nets perturbed away from exact…
Gradient methods for variational optimization of projected entangled-pair states
Laurens Vanderstraeten, Jutho Haegeman, Philippe Corboz +1
We present a conjugate-gradient method for the ground-state optimization of projected entangled-pair states (PEPS) in the thermodynamic limit, as a direct implementation of the var…
Quasi-particle interactions in frustrated Heisenberg chains
Laurens Vanderstraeten, Jutho Haegeman, Frank Verstraete +1
Interactions between elementary excitations in quasi-one dimensional antiferromagnets are of experimental relevance and their quantitative theoretical treatment has been a theoreti…