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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…
Time-dependent variational principle for quantum lattices
Jutho Haegeman, J. Ignacio Cirac, Tobias J. Osborne +3
We develop a new algorithm based on the time-dependent variational principle applied to matrix product states to efficiently simulate the real- and imaginary time dynamics for infi…
Entanglement renormalization for quantum fields
Jutho Haegeman, Tobias J. Osborne, Henri Verschelde +1
It is shown how to construct renormalization group flows of quantum field theories in real space, as opposed to the usual Wilsonian approach in momentum space. This is achieved by…