Statistics of orthogonality catastrophe events in localised disordered lattices

F. Cosco*, M. Borrelli, E. M. Laine, S. Pascazio, A. Scardicchio, S. Maniscalco

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

3 Citations (Scopus)
166 Downloads (Pure)


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.

Original languageEnglish
Article number073041
Pages (from-to)1-11
JournalNew Journal of Physics
Issue number7
Publication statusPublished - 1 Jul 2018
MoE publication typeA1 Journal article-refereed


  • disordered lattice
  • fermi gas
  • orthogonality catastrophe

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