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arXiv · 1812.03801

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

Claudius Hubig·J. Ignacio Cirac
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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.

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Claudius Hubig, J. Ignacio Cirac. 2018-12-10. Time-dependent study of disordered models with infinite projected entangled pair states. https://doi.org/10.21468/scipostphys.6.3.031

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