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Related Experiment Video

Updated: Mar 31, 2026

Fabrication and Characterization of Disordered Polymer Optical Fibers for Transverse Anderson Localization of Light

Fabrication and Characterization of Disordered Polymer Optical Fibers for Transverse Anderson Localization of Light

Published on: July 29, 2013

Localization without recurrence and pseudo-Bloch oscillations in optics.

|October 16, 2015

Summary

Dynamical localization, the absence of wave packet spreading, is shown to occur even without recurrence. This study demonstrates localization in systems with continuous spectra, challenging previous assumptions.

Area of Science:

Quantum mechanics
Wave packet dynamics
Optical physics

Background:

Dynamical localization, characterized by the absence of secular spreading of wave packets, is typically linked to Hamiltonians with pure point spectra and complete eigenstates.
Such systems exhibit quasi-periodic dynamics, including recurrence phenomena.

Purpose of the Study:

To investigate the possibility of dynamical localization in systems with absolutely continuous spectra, where recurrence is forbidden.
To propose and explain an optical system exhibiting localization without recurrence.

Main Methods:

Theoretical analysis of Hamiltonians with absolutely continuous spectra.
Proposal of an optical system using beam propagation in a self-imaging optical resonator with a phase grating.

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Related Experiment Videos

Last Updated: Mar 31, 2026

Fabrication and Characterization of Disordered Polymer Optical Fibers for Transverse Anderson Localization of Light

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Published on: July 29, 2013

Automation of Mode Locking in a Nonlinear Polarization Rotation Fiber Laser through Output Polarization Measurements

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Main Results:

Demonstration that dynamical localization can occur in Hamiltonians with absolutely continuous spectra.
Identification of pseudo-Bloch optical oscillations as the mechanism for localization without recurrence in the proposed optical system.

Conclusions:

Dynamical localization is not exclusively tied to pure point spectra and can manifest in systems with continuous spectra.
The proposed optical system provides a novel platform for observing and studying localization without recurrence, offering insights into wave packet dynamics.