1212.2046 (Jacopo Giacomelli)

Localization properties of one-dimensional speckle potentials in a box    [PDF]

Jacopo Giacomelli

We investigate the localization properties of the single particle spectrum of a one-dimensional speckle potential. We consider both the repulsive and the attractive cases. The system is controlled by a couple of parameters: (i) a dimensionless variable, determined by the mass of the particle, the correlation length and the average intensity of the field; (ii) the size of the box containing the particle. Depending on the value of these parameters and the considered energy level, the eigenstates exhibit different regimes of localization. We compared our numerical results to the present theoretical framework, showing the key role played by the finite size of the system and the self-correlation of the potential when the observed behaviour turns out to be different from the predicted one.

View original: http://arxiv.org/abs/1212.2046