Abstract
Self-similar solutions of the coherent diffusion equation are derived and measured. The set of real similarity solutions is generalized by the introduction of a nonuniform phase, based on the elegant Gaussian modes of optical diffraction. In a light-storage experiment, the complex solutions are imprinted on a gas of diffusing atoms, and the self-similar evolution of both their amplitude and phase pattern is demonstrated. An algebraic decay depending on the mode order is measured. Notably, as opposed to the regular diffusion spreading, a subset of the solutions exhibits a self-similar contraction.
Original language | English |
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Article number | 183602 |
Journal | Physical Review Letters |
Volume | 105 |
Issue number | 18 |
DOIs | |
State | Published - 27 Oct 2010 |
Externally published | Yes |
ASJC Scopus subject areas
- General Physics and Astronomy