Statistics of orthogonality catastrophe events in localised disordered lattices. (20th July 2018)

• Record Type: Journal Article
• Authors: Cosco, F; Borrelli, M; Laine, E-M; Pascazio, S; Scardicchio, A; Maniscalco, S
• Is Part Of: New journal of physics. Volume 20:Number 7(2018:Jul.)
• Publication Date: 2018-07-20
• Subjects: orthogonality catastrophe -- disordered lattice -- fermi gas; Physics -- Periodicals; Physics; Periodicals; 530.05
• DOI: 10.1088/1367-2630/aad10b
• Languages: English
• ISSNs: 1367-2630

Abstract

Abstract: 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.