Statistics of orthogonality catastrophe events in localised disordered lattices

Year: 2018

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

Autors Affiliation: [Cosco, F.; Borrelli, M.; Laine, E-M; Maniscalco, S.] Univ Turku, QTF Ctr Excellence, Turku Ctr Quantum Phys, Dept Phys & Astron, FI-20014 Turku, Finland.
[Pascazio, S.] Univ Bari, Dipartimento Fis, I-70126 Bari, Italy and Univ Bari, MECENAS, I-70126 Bari, Italy and CNR, INO, I-50125 Florence, Italy and INFN, Sez Bari, I-70126 Bari, Italy.
[Scardicchio, A.] Abdus Salam Int Ctr Theoret Phys, Str Costiera 11, I-34151 Trieste, Italy and INFN, Sez Trieste, Via Valerio 2, I-34127 Trieste, Italy.
[Maniscalco, S.] Aalto Univ, QTF Ctr Excellence, Dept Appl Phys, FI-00076 Aalto, Finland.

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-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.


Volume: 20      Pages from: 073041-1  to: 073041-11

KeyWords: orthogonality catastrophe; disordered lattice; fermi gas; many-body localization; Quantum simulations
DOI: 10.1088/1367-2630/aad10b

Citations: 4
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