Self-organization in dissipative optical lattices.
We show that the transition from Gaussian to the q-Gaussian distributions occurring in atomic transport in dissipative optical lattices can be interpreted as self-organization by recourse to a modified version of Klimontovich's S-theorem. As a result, we find that self-organization is possible in the transition regime, only where the second moment (p(2)) is finite. Therefore, the nonadditivity parameter q is confined within the range 1<q<5/3, although the whole spectrum of q values, i.e., 1<q<3, is considered theoretically possible. The range of q values obtained from the modified S-theorem is also confirmed by the experiments carried out by Douglas et al. [Phys. Rev. Lett. 96, 110601 (2006)].
Department of Physics, Faculty of Science, Ege University, Izmir, Turkey.
G Baris
GB
Bağci
Ugur
U
Tirnakli
D000465:Algorithms; D003198:Computer Simulation; D008027:Light; D015233:Models, Statistical; D017711:Nonlinear Dynamics; D055096:Optical Devices; D012542:Scattering, Radiation