Claudius Hubig, J. Ignacio Cirac
SciPost Phys. 6, 031 (2019) ·
published 11 March 2019
Infinite projected entangled pair states (iPEPS), the tensor network ansatz
for two-dimensional systems in the thermodynamic limit, already provide
excellent results on ground-state quantities using either imaginary-time
evolution or variational optimisation. Here, we show (i) the feasibility of
real-time evolution in iPEPS to simulate the dynamics of an infinite system
after a global quench and (ii) the application of disorder-averaging to obtain
translationally invariant systems in the presence of disorder. To illustrate
the approach, we study the short-time dynamics of the square lattice Heisenberg
model in the presence of a bi-valued disorder field.
SciPost Phys. 5, 047 (2018) ·
published 9 November 2018
We explore in detail the implementation of arbitrary abelian and non-abelian
symmetries in the setting of infinite projected entangled pair states on the
two-dimensional square lattice. We observe a large computational speed-up;
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 ground-state energies. Finally, we point out how to use symmetry
implementations to detect spontaneous symmetry breaking.
Ph.D. thesis by Claudius Hubig
(supervisor(s): Ulrich Schollwöck)
Defense date: 2017-10-30 · Latest activity: 2017-12-12
"We would like to thank the ref..."
in Report on Time-dependent study of disordered models with infinite projected entangled pair states
"I would like to thank the refe..."
in Report on Abelian and non-abelian symmetries in infinite projected entangled pair states