Statistics of orthogonality catastrophe events in localised disordered lattices
| Autor: | Cosco, Francesco, Borrelli, Massimo, Laine, Elsi-Mari, Pascazio, Saverio, Scardicchio, Antonello, Maniscalco, Sabrina |
|---|---|
| Rok vydání: | 2018 |
| Předmět: | |
| Zdroj: | 2018 New J. Phys. 20 073041 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1088/1367-2630/aad10b |
| Popis: | We address the phenomenon of statistical orthogonality catastrophe in insulating disordered systems. More in 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 the Aubry- Andr\'e insulators, highlighting the arising differences. Particularly, in the Aubry-Andr\'e 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. Comment: 13 pages, 5 figures |
| Databáze: | arXiv |
| Externí odkaz: |
|