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.
Cited by 4
Piotr Czarnik et al., Tensor network simulation of the Kitaev-Heisenberg model at finite temperature
Phys. Rev. B 100, 165147 (2019) [Crossref]
Daniel Bauernfeind et al., Time dependent variational principle for tree Tensor Networks
SciPost Phys. 8, 024 (2020) [Crossref]
Piotr Czarnik et al., Finite correlation length scaling with infinite projected entangled pair states at finite temperature
Phys. Rev. B 99, 245107 (2019) [Crossref]
Claudius Hubig et al., Evaluation of time-dependent correlators after a local quench in iPEPS: hole motion in the t-J model
SciPost Phys. 8, 021 (2020) [Crossref]
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- 1 2 Claudius Hubig,
- 1 2 Ignacio Cirac
- 1 Munich Center for Quantum Science and Technology [MCQST]
- 2 Max-Planck-Institut für Quantenoptik / Max Planck Institute of Quantum Optics [MPQ]