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S matrix from matrix product states
Laurens Vanderstraeten, Jutho Haegeman, Tobias J. Osborne +1
We use the matrix product state formalism to construct stationary scattering states of elementary excitations in generic one-dimensional quantum lattice systems. Our method is appl…
Matrix product states for gauge field theories
Boye Buyens, Jutho Haegeman, Karel Van Acoleyen +2
The matrix product state formalism is used to simulate Hamiltonian lattice gauge theories. To this end, we define matrix product state manifolds which are manifestly gauge invarian…
Elementary excitations in gapped quantum spin systems
Jutho Haegeman, Spyridon Michalakis, Bruno Nachtergaele +3
For quantum lattice systems with local interactions, the Lieb-Robinson bound acts as an alternative for the strict causality of relativistic systems and allows to prove many intere…
Post-Matrix Product State Methods: To tangent space and beyond
Jutho Haegeman, Tobias J. Osborne, Frank Verstraete
We develop in full detail the formalism of tangent states to the manifold of matrix product states, and show how they naturally appear in studying time-evolution, excitations and s…
Faster identification of optimal contraction sequences for tensor networks
Robert N. C. Pfeifer, Jutho Haegeman, Frank Verstraete
The efficient evaluation of tensor expressions involving sums over multiple indices is of significant importance to many fields of research, including quantum many-body physics, lo…
Matrix product states and variational methods applied to critical quantum field theory
Ashley Milsted, Jutho Haegeman, Tobias J. Osborne
We study the second-order quantum phase-transition of massive real scalar field theory with a quartic interaction ( theory) in (1+1) dimensions on an infinite spatial lattice…