Statistics of orthogonality catastrophe events in localised disordered lattices

We address the phenomenon of statistical orthogonality catastrophe in insulating disordered systems. In more detail, we analyse the response of a system of non-interacting fermions to a local perturbation induced by an impurity. By inspecting the overlap between the pre- and post-quench many-body ground states we fully characterise the emergent statistics of orthogonality events as a function of both the impurity position and the coupling strength. We consider two well-known one-dimensional models, namely the Anderson and Aubry-André insulators, highlighting the arising differences. Particularly, in the Aubry-André model the highly correlated nature of the quasi-periodic potential produces unexpected features in how the orthogonality catastrophe occurs. We provide a quantitative explanation of such features via a simple, effective model. We further discuss the incommensurate ratio approximation and suggest a viable experimental verification in terms of charge transfer statistics and interferometric experiments using quantum probes.

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disordered lattice, fermi gas, orthogonality catastrophe

DOI

10.1088/1367-2630/aad10b

Citation

Cosco, F, Borrelli, M, Laine, E M, Pascazio, S, Scardicchio, A & Maniscalco, S 2018, 'Statistics of orthogonality catastrophe events in localised disordered lattices', New Journal of Physics, vol. 20, no. 7, 073041, pp. 1-11. https://doi.org/10.1088/1367-2630/aad10b

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https://urn.fi/URN:NBN:fi:aalto-201808304745

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[article-cris] Perustieteiden korkeakoulu / SCI

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Statistics of orthogonality catastrophe events in localised disordered lattices

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