A comprehensive model for photon noise and correlations in semiconductor cascade lasers is presented. Photon emission events in different gain sections of cascade lasers are correlated. These correlations are found to be positive and arise because the gain sections are connected electrically. The scaling of photon correlations and intensity noise with the number of cascade sections is discussed...

We investigate three-dimensional quantum turbulence as described by the Gross-Pitaevskii model using analytical method exploited in Onsager "ideal turbulence" theory. derive scale-independence of scale-to-scale kinetic energy flux and establish a double-cascade scenario: at scales much larger than mean intervortex $\ell_i$, Richardson cascade becomes dominant, whereas smaller another type is in...