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: Univ Turku, QTF Ctr Excellence, Turku Ctr Quantum Phys, Dept Phys & Astron, FI-20014 Turku, Finland; Univ Bari, Dipartimento Fis, I-70126 Bari, Italy; Univ Bari, MECENAS, I-70126 Bari, Italy; CNR, INO, I-50125 Florence, Italy; INFN, Sez Bari, I-70126 Bari, Italy; Abdus Salam Int Ctr Theoret Phys, Str Costiera 11, I-34151 Trieste, Italy; INFN, Sez Trieste, Via Valerio 2, I-34127 Trieste, Italy; 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.

Journal/Review: NEW JOURNAL OF PHYSICS

Volume: 20      Pages from: 73041-1  to: 73041-11

More Information: FC, MB, E-ML and SM acknowledge financial support from the Horizon 2020 EU collaborative project QuProCS (Grant Agreement 641277), the Academy of Finland Centre of Excellence program (Project no. 312058) and the Academy of Finland (Project no. 287750). SP is partly supported by INFN through the project ’QUANTUM’. AS is partly supported by a Google Faculty Award. The computer resources of the Finnish IT Center for Science (CSC) and the FGCI project (Finland) are acknowledged.
KeyWords: orthogonality catastrophe; disordered lattice; fermi gas; many-body localization; Quantum simulations
DOI: 10.1088/1367-2630/aad10b

ImpactFactor: 3.773
Citations: 5
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