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

by Claudius Hubig, J. Ignacio Cirac

Submission summary

As Contributors: Claudius Hubig
Arxiv Link: https://arxiv.org/abs/1812.03801v2
Date accepted: 2019-03-05
Date submitted: 2019-02-15
Submitted by: Hubig, Claudius
Submitted to: SciPost Physics
Domain(s): Computational
Subject area: Condensed Matter Physics - Theory

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.

Current status:

Ontology / Topics

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Disordered systems Infinite projected entangled pair states (iPEPS)

Author comments upon resubmission

Dear editor,

thank you very much for your work in organising and evaluating the
reviews of this manuscript. We have found the referee comments very
valuable and have improved the manuscript to incorporate those
comments. A brief summary of the bigger changes is listed below,
detailed replies to the referee's questions are posted on the version
1 submission page.

List of changes

- Incorporated a brief comparison to published 2D-NLCE calculations
- Extended the Conclusions to provide a wider outlook
- Clarified captions and improved legibility of figures

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