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Localized systems coupled to small baths: From Anderson to Zeno

Author(s): Huse, David A; Nandkishore, Rahul; Pietracaprina, Francesca; Ros, Valentina; Scardicchio, Antonello

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Abstract: We investigate what happens if an Anderson localized system is coupled to a small bath, with a discrete spectrum, when the coupling between system and bath is specially chosen so as to never localize the bath. We find that the effect of the bath on localization in the system is a nonmonotonic function of the coupling between system and bath. At weak couplings, the bath facilitates transport by allowing the system to “borrow” energy from the bath. But, above a certain coupling the bath produces localization because of an orthogonality catastrophe, whereby the bath “dresses” the system and hence suppresses the hopping matrix element. We call this last regime the regime of “Zeno localization” since the physics of this regime is akin to the quantum Zeno effect, where frequent measurements of the position of a particle impede its motion. We confirm our results by numerical exact diagonalization.
Publication Date: Jul-2015
Electronic Publication Date: 8-Jul-2015
Citation: Huse, David A, Nandkishore, Rahul, Pietracaprina, Francesca, Ros, Valentina, Scardicchio, Antonello. (2015). Localized systems coupled to small baths: From Anderson to Zeno. Physical Review B, 92 (1), 10.1103/PhysRevB.92.014203
DOI: doi:10.1103/PhysRevB.92.014203
ISSN: 1098-0121
EISSN: 1550-235X
Type of Material: Journal Article
Journal/Proceeding Title: Physical Review B
Version: Author's manuscript

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