| Автор | V P Belavkin |
| Автор | O Melsheimer |
| Дата выпуска | 1996-02-01 |
| dc.description | We give an explicit stochastic Hamiltonian model of discontinuous unitary evolution for quantum spontaneous jumps like in a system of atoms in quantum optics, or in a system of quantum particles that interacts singularly with `bubbles' which admit a continual counting observation. This model allows one to watch a quantum trajectory in a photodetector or in a cloud chamber by spontaneous localizations of the momenta of the scattered photons or bubbles. Thus, the continuous reduction and spontaneous localization theory is obtained from a Hamiltonian singular interaction as a result of quantum filtering, i.e. a sequential time continuous conditioning of an input quantum process by the output measurement data. We show that in the case of indistinguishable particles or atoms, the a posteriori dynamics is mixing, giving rise to an irreversible Boltzmann-type reduction equation. The latter coincides with the non-stochastic Schrödinger equation only in the mean-field approximation, whereas the central limit yields Gaussian mixing fluctuations described by a quantum state reduction equation of diffusive type. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | A stochastic Hamiltonian approach for quantum jumps, spontaneous localizations, and continuous trajectories |
| Тип | paper |
| DOI | 10.1088/1355-5111/8/1/013 |
| Electronic ISSN | 1361-6625 |
| Print ISSN | 1355-5111 |
| Журнал | Quantum and Semiclassical Optics: Journal of the European Optical Society Part B |
| Том | 8 |
| Первая страница | 167 |
| Последняя страница | 187 |
| Выпуск | 1 |
