We provide an overview of experimental studies on partially coherent spatial solitons in photorefractive materials, including the first experimental demonstration of bright and dark incoherent solitons, incoherent vortex solitons, Y-junction dark solitons and anti-dark solitons, and pixel-like incoherent soliton arrays. These solitons are created with partially spatially incoherent light beams ...

We present a modal theory of self-trapping spatially incoherent light beams in any general nonlinear media. We find that a self-trapped incoherent beam induces a multimode waveguide which guides the beam itself by multiply populating the guided modes. The self-trapping process alters the statistics of the incoherent beam, rendering it localized. We find the conditions for self-trapping (“existe...

Statistical and computational techniques for revealing the internal structure that underlies the set of random correlated data exists in a great variety at present; and target decomposition theorems, either in the coherent or incoherent formulation, are well established. In spite of this fact a rather innovative and new concept is presented in this contribution. In turn the Principal Component ...

We introduce a generalized approach to characterize the non-Markovianity of quantum dynamical maps via breakdown monotonicity thermodynamic functions. By adopting an entropy-based formulation thermodynamics, we use relationship between heat and entropy propose measure based on flow for single-qubit evolutions. This can be applied unital that do not invert sign internal energy. Under certain con...