A1 Refereed original research article in a scientific journal
Statistics of orthogonality catastrophe events in localised disordered lattices
Authors: Cosco F, Borrelli M, Laine EM, Pascazio S, Scardicchio A, Maniscalco S
Publisher: IOP PUBLISHING LTD
Publication year: 2018
Journal: New Journal of Physics
Journal name in source: NEW JOURNAL OF PHYSICS
Journal acronym: NEW J PHYS
Article number: ARTN 073041
Volume: 20
First page : 1
Last page: 11
Number of pages: 11
ISSN: 1367-2630
DOI: https://doi.org/10.1088/1367-2630/aad10b
Self-archived copy’s web address: https://research.utu.fi/converis/portal/detail/Publication/35452613
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-Andre insulators, highlighting the arising differences. Particularly, in the Aubry-Andre 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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