2020
DOI: 10.48550/arxiv.2003.00149
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Anderson localisation in two dimensions: insights from Localisation Landscape Theory, exact diagonalisation, and time-dependent simulations

Abstract: Motivated by rapid experimental progress in ultra-cold atomic systems, we aim to provide a simple, intuitive description of Anderson localisation that allows for a direct quantitative comparison to experimental data, as well as yielding novel insights. To this end, we advance, employ and validate a recently-discovered theory -Localisation Landscape Theory (LLT) -which has unparalleled strengths and advantages, both computational and conceptual, over alternative methods. We focus on two-dimensional systems with… Show more

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Cited by 1 publication
(14 citation statements)
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References 143 publications
(483 reference statements)
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“…Precisely the same trend is seen in Fig. 8 of [52], where the approximate eigenstates and eigenvalues are reconstructed from the localisation landscape u, avoiding numerical diagonalisation. This is very likely linked to the fact that in both cases, the approximate LLT eigenstates are a little more spread out than the exact.…”
Section: The Effective Potentialmentioning
confidence: 52%
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“…Precisely the same trend is seen in Fig. 8 of [52], where the approximate eigenstates and eigenvalues are reconstructed from the localisation landscape u, avoiding numerical diagonalisation. This is very likely linked to the fact that in both cases, the approximate LLT eigenstates are a little more spread out than the exact.…”
Section: The Effective Potentialmentioning
confidence: 52%
“…This system could be experimentally realised with cold atoms as in [14]. A more detailed description of the system can be found in [52].…”
Section: System Of Interestmentioning
confidence: 99%
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