The wave packets both linear and nonlinear like solitons (signals) described by a complex time-dependent function are mapped onto positive probability distributions (tomograms). Quasidistributions, wavelets and tomograms are shown to have an intrinsic connection. Analysis is extended to signals obeying to the von Neumann-like equation. For solitons (nonlinear signals) obeying to the nonlinear Schroedinger equation, the tomographic probability representation is introduced. It is shown that in the probability representation the soliton satisfies to a nonlinear generalization of the Fokker-Planck equation. Solutions to the Gross-Pitaevskii equation corresponding to solitons in Bose-Einstein condensate are considered.
Quantum tomography, wavepackets and solitons / S., De Nicola; Fedele, Renato; M. A., Man'Ko; V. I., Man'Ko. - STAMPA. - (2004), pp. 175-208.
Quantum tomography, wavepackets and solitons
FEDELE, RENATO;
2004
Abstract
The wave packets both linear and nonlinear like solitons (signals) described by a complex time-dependent function are mapped onto positive probability distributions (tomograms). Quasidistributions, wavelets and tomograms are shown to have an intrinsic connection. Analysis is extended to signals obeying to the von Neumann-like equation. For solitons (nonlinear signals) obeying to the nonlinear Schroedinger equation, the tomographic probability representation is introduced. It is shown that in the probability representation the soliton satisfies to a nonlinear generalization of the Fokker-Planck equation. Solutions to the Gross-Pitaevskii equation corresponding to solitons in Bose-Einstein condensate are considered.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
