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Updated: Feb 16, 2026
09:19
Fabrication and Characterization of Disordered Polymer Optical Fibers for Transverse Anderson Localization of Light
Published on: July 29, 2013
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Three-Dimensional Localized-Delocalized Anderson Transition in the Time Domain.
Dominique Delande1, Luis Morales-Molina2, Krzysztof Sacha3,4
1Laboratoire Kastler Brossel, UPMC-Sorbonne Universités, CNRS, ENS-PSL Research University, Collège de France, 4 Place Jussieu, 75005 Paris, France.
Physical Review Letters
|December 30, 2017
Summary
Time crystals exhibit periodic behavior, analogous to space crystals. Disorder in driving can cause Anderson localization in time, potentially observable in ultracold atomic gases.
Area of Science:
- Quantum physics
- Condensed matter physics
- Statistical mechanics
Background:
- Time crystals exhibit spontaneous periodic evolution, mirroring spatial crystals.
- Periodic potentials model spatial crystals, while driven systems model temporal crystalline phenomena.
- Disorder in periodic driving can induce Anderson localization in time.
Purpose of the Study:
- To investigate the possibility of a localized-delocalized Anderson transition in the time domain.
- To explore the analogy between time-domain Anderson transitions and traditional spatial Anderson transitions.
Main Methods:
- Simulating a three-dimensional system subjected to disordered pseudoperiodic driving.
- Analyzing the probability of detecting the system at a fixed configuration space point over time.
Main Results:
- Demonstrated a localized-delocalized Anderson transition in the time domain for a disordered driven system.
- Established a strong analogy between this time-domain transition and the standard three-dimensional Anderson transition.
Conclusions:
- A disordered pseudoperiodic driving can lead to an Anderson transition in the time domain.
- This phenomenon is analogous to Anderson transitions in disordered spatial systems.
- The transition could be experimentally verified using ultracold atomic gases.
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