# Anderson localisation in two dimensions: insights from Localisation Landscape Theory, exact diagonalisation, and time-dependent simulations

@article{Shamailov2020AndersonLI, title={Anderson localisation in two dimensions: insights from Localisation Landscape Theory, exact diagonalisation, and time-dependent simulations}, author={Sophie S. Shamailov and Dylan J. Brown and Thomas Haase and Maarten D. Hoogerland}, journal={arXiv: Quantum Gases}, year={2020} }

Motivated by experimental progress in cold atomic systems, we use and further develop Localisation Landscape Theory (LLT), which has unparalleled strengths over alternative methods. We focus on two-dimensional systems with point-like random scatterers, but our methods are neither model nor dimension specific. We begin by showing that exact eigenstates cannot be efficiently used to extract the localisation length. We then provide a comprehensive review of known LLT, and show that the effective…

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## 3 Citations

Comment on"Observation of two-dimensional Anderson localisation of ultracold atoms"

- Physics
- 2021

Here I provide additional experimental information and criticise the analysis, modelling, interpretation and claims presented in the recent paper [1]. I argue that the authors have no clear…

Computing the eigenstate localisation length at very low energies from Localisation Landscape Theory

- Physics
- 2021

While Anderson localisation is largely well-understood, its description has traditionally been rather cumbersome. A recently-developed theory -- Localisation Landscape Theory (LLT) -- has…

Computing the eigenstate localisation length from Localisation Landscape Theory

- Computer Science
- 2020

It is demonstrated that the localisation length cannot be conveniently computed starting directly from the exact eigenstates, thus motivating the need for the LLT approach, and the physical significance of the effective potential of LLT is revealed, justifying the crucial role it plays in the new method.

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