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Related Experiment Video

Updated: Jul 31, 2025

Fabrication and Characterization of Disordered Polymer Optical Fibers for Transverse Anderson Localization of Light
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Anderson localization without eigenstates in photonic quantum walks.

Stefano Longhi

    Optics Letters
    |May 1, 2023
    PubMed
    Summary

    Anderson localization, typically disrupted by disorder, can persist in specific systems even with time-dependent drives. This study demonstrates "localization without eigenstates" in photonic quantum walks, extending to non-Hermitian dynamics.

    Area of Science:

    • Quantum physics
    • Condensed matter physics
    • Photonics

    Background:

    • Anderson localization is a phenomenon where waves are trapped by disorder.
    • Temporal fluctuations or aperiodic drives usually cause delocalization, restoring transport.
    • A special case in 1D lattices allows persistent Anderson localization under certain time-dependent drives, termed "localization without eigenstates."

    Purpose of the Study:

    • To investigate the observation of "localization without eigenstates" in discrete-time photonic quantum walks.
    • To explore the extension of this phenomenon to non-Hermitian dynamics.

    Main Methods:

    • Utilizing discrete-time photonic quantum walks.
    • Introducing static disorder to the coin operator.
    • Analyzing the system's behavior under time-dependent drivings.

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    Main Results:

    • Demonstrated that Anderson localization can persist in discrete-time photonic quantum walks with static disorder.
    • Showcased the phenomenon of "localization without eigenstates" in this photonic system.
    • Extended the findings to non-Hermitian quantum walks.

    Conclusions:

    • The study confirms the existence of "localization without eigenstates" in photonic quantum walks.
    • This phenomenon offers new insights into Anderson localization in open quantum systems and non-Hermitian physics.