Localized and extended states in a disordered trap

Details Localized and extended states in a disordered trap Localized and extended states in a disordered trap

2010-06-21

arxiv.org/abs/1006.4049v2

Physical Review Letters 106 (2011) 040601

Physics

Condensed Matter

Other Condensed Matter

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Scientific paper

We study Anderson localization in a disordered potential combined with an inhomogeneous trap. We show that the spectrum displays both localized and extended states, which coexist at intermediate energies. In the region of coexistence, we find that the extended states result from confinement by the trap and are weakly affected by the disorder. Conversely, the localized states correspond to eigenstates of the disordered potential, which are only affected by the trap via an inhomogeneous energy shift. These results are relevant to disordered quantum gases and we propose a realistic scheme to observe the coexistence of localized and extended states in these systems.

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