English

Time-dependent study of disordered models with infinite projected entangled pair states

Disordered Systems and Neural Networks 2019-03-13 v2 Strongly Correlated Electrons

Abstract

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.

Keywords

Cite

@article{arxiv.1812.03801,
  title  = {Time-dependent study of disordered models with infinite projected entangled pair states},
  author = {Claudius Hubig and J. Ignacio Cirac},
  journal= {arXiv preprint arXiv:1812.03801},
  year   = {2019}
}
R2 v1 2026-06-23T06:37:31.463Z