Anomalous localization in a kicked quasicrystal

Abstract Quantum transport can distinguish between dynamical phases of matter. For instance, ballistic propagation characterizes the absence of disorder, whereas in many-body localized phases, particles do not propagate for exponentially long times. Additional possibilities include states of matter...

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Bibliographic Details
Published in:Nature physics 2024-03, Vol.20 (3), p.409-414
Main Authors: Shimasaki, Toshihiko, Prichard, Max, Kondakci, H. Esat, Pagett, Jared E., Bai, Yifei, Dotti, Peter, Cao, Alec, Dardia, Anna R., Lu, Tsung-Cheng, Grover, Tarun, Weld, David M.
Format: Article
Language:English
Subjects:
Eigenvectors
Localization
Phase diagrams
Phases
Quantum transport
Quasicrystals
Transport properties
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Summary:Abstract Quantum transport can distinguish between dynamical phases of matter. For instance, ballistic propagation characterizes the absence of disorder, whereas in many-body localized phases, particles do not propagate for exponentially long times. Additional possibilities include states of matter exhibiting anomalous transport in which particles propagate with a non-trivial exponent. Here we report the experimental observation of anomalous transport across a broad range of the phase diagram of a kicked quasicrystal. The Hamiltonian of our system has been predicted to exhibit a rich phase diagram, including not only fully localized and fully delocalized phases but also an extended region comprising a nested pattern of localized, delocalized and multifractal states, which gives rise to anomalous transport. Our cold-atom realization is enabled by new Floquet engineering techniques, which expand the accessible phase diagram by five orders of magnitude. Mapping transport properties throughout the phase diagram, we observe disorder-driven re-entrant delocalization and sub-ballistic transport, and we present a theoretical explanation of these phenomena based on eigenstate multifractality.
ISSN:1745-2473
1745-2481
DOI:10.1038/s41567-023-02329-4