10 papers
Type-B Goldstone modes and a logarithmic spiral in the staggered ferromagnetic spin-orbital model
Qian-Qian Shi, Huan-Qiang Zhou, Ian P. McCulloch +1
It is found that the staggered ferromagnetic spin-orbital model accommodates highly degenerate ground states arising from spontaneous symmetry breaking with type-B Gold…
Matrix Product Operator Encodings of the Magnus Expansion and Dyson Series
Victor Vanthilt, Maarten Van Damme, Jutho Haegeman +2
We introduce a matrix product operator (MPO) encoding of the Magnus expansion and the Dyson series for one-dimensional quantum lattice models with time-dependent Hamiltonians. The…
Green parafermions as emergent flat-band excitations in condensed matter
Huan-Qiang Zhou, Ian P. McCulloch, Murray T. Batchelor
Green parafermions, originally introduced by Green and extended by Greenberg and Messiah through trilinear and relative trilinear commutation relations beyond Bose-Fermi statistics…
Fractals and spontaneous symmetry breaking with type-B Goldstone modes: a perspective from entanglement
Huan-Qiang Zhou, Qian-Qian Shi, John O. Fjærestad +1
The one-dimensional spin- ferromagnetic Heisenberg model, as a paradigmatic example for spontaneous symmetry breaking (SSB) with type-B Goldstone modes (GMs), is e…
Matrix Product Operator Constructions for Gauge Theories in the Thermodynamic Limit
Nicholas Godfrey, Ian P. McCulloch
We present a general method for simulating lattice gauge theories in low dimensions using infinite matrix product states (iMPS). A central challenge in Hamiltonian formulations of…
Efficient and systematic calculation of arbitrary observables for the matrix product state excitation ansatz
Jesse J. Osborne, Ian P. McCulloch
Numerical methods based on matrix product states (MPSs) are currently the de facto standard for calculating the ground-state properties of (quasi-)one-dimensional quantum many-body…