SciPost Phys. 6, 031 (2019) ·
published 11 March 2019

· pdf
Infinite projected entangled pair states (iPEPS), the tensor network ansatz
for twodimensional systems in the thermodynamic limit, already provide
excellent results on groundstate quantities using either imaginarytime
evolution or variational optimisation. Here, we show (i) the feasibility of
realtime evolution in iPEPS to simulate the dynamics of an infinite system
after a global quench and (ii) the application of disorderaveraging to obtain
translationally invariant systems in the presence of disorder. To illustrate
the approach, we study the shorttime dynamics of the square lattice Heisenberg
model in the presence of a bivalued disorder field.
SciPost Phys. 5, 047 (2018) ·
published 9 November 2018

· pdf
We explore in detail the implementation of arbitrary abelian and nonabelian
symmetries in the setting of infinite projected entangled pair states on the
twodimensional square lattice. We observe a large computational speedup;
easily allowing bond dimensions $D = 10$ in the square lattice Heisenberg model
at computational effort comparable to calculations at $D = 6$ without
symmetries. We also find that implementing an unbroken symmetry does not
negatively affect the representative power of the state and leads to identical
or improved groundstate energies. Finally, we point out how to use symmetry
implementations to detect spontaneous symmetry breaking.
Theses
Theses for which this Contributor is identified as an author:
Physics · Computational · Condensed Matter Physics  Theory
Dr Hubig: "We would like to thank the ref..."
in Report on Timedependent study of disordered models with infinite projected entangled pair states