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

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Published on: July 29, 2013

Dynamic localization in Glauber-Fock lattices.

S Longhi¹, A Szameit

¹Dipartimento di Fisica and Istituto di Fotonica e Nanotecnologie de Consiglio Nazionale delle Ricerche, Politecnico di Milano, Piazza L da Vinci 32, I-20133 Milan, Italy. longhi@fisi.polimi.it

Journal of Physics. Condensed Matter : an Institute of Physics Journal

|December 11, 2012

Summary

Dynamic localization, suppressing quantum diffusion, is achieved in Glauber-Fock lattices. This phenomenon occurs despite inhomogeneous hopping rates and lattice truncation in these quantum models.

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Area of Science:

Solid-state physics
Quantum optics
Quantum field theory

Background:

Glauber-Fock lattices are semi-infinite tight-binding models with inhomogeneous hopping rates.
These lattices appear in various quantum mechanical systems.
Dynamic localization is a known phenomenon involving suppression of quantum diffusion.

Purpose of the Study:

To investigate the exact realization of dynamic localization in Glauber-Fock lattices.
To demonstrate dynamic localization despite lattice inhomogeneities.

Main Methods:

Theoretical analysis of quantum dynamics in inhomogeneous lattices.
Applying an external sinusoidal force to induce dynamic localization.

Main Results:

Dynamic localization is shown to be exactly realizable in Glauber-Fock lattices.
Suppression of quantum diffusion and periodic quantum self-imaging are confirmed.
The phenomenon persists despite inhomogeneous hopping rates and lattice truncation.

Conclusions:

Glauber-Fock lattices provide an exact platform for studying dynamic localization.
This finding has implications for quantum transport and control in disordered systems.