Sie können Bookmarks mittels Listen verwalten, loggen Sie sich dafür bitte in Ihr SLUB Benutzerkonto ein.
Medientyp:
E-Artikel
Titel:
Quantum stochastic differential equation for unstable systems
Beteiligte:
Belavkin, V. P.;
Staszewski, P.
Erschienen:
AIP Publishing, 2000
Erschienen in:
Journal of Mathematical Physics, 41 (2000) 11, Seite 7220-7233
Sprache:
Englisch
DOI:
10.1063/1.1310357
ISSN:
0022-2488;
1089-7658
Entstehung:
Anmerkungen:
Beschreibung:
<jats:p>A semiclassical non-Hamiltonian model of a spontaneous collapse of unstable quantum system is given. The time evolution of the system becomes non-Hamiltonian at random instants of transition of pure states to reduced ones, η⟼Cη, given by a contraction C. The counting trajectories are assumed to satisfy the Poisson law. A unitary dilation of the concractive stochastic dynamics is found. In particular, in the limit of frequent detection corresponding to the large number limit we obtain the Itô–Schrödinger stochastic unitary evolution for the pure state of unstable quantum system providing a new stochastic version of the quantum Zeno effect.</jats:p>