Codice  QDD 180 
Titolo  The Hamiltonian generating Quantum Stochastic Evolutions in the limit from Repeated to Continuous Interactions 
Data  20140508 
Autore/i  Gregoratti, M. 
Link  Download full text 
Abstract  We consider a quantum stochastic evolution in continuous time defined by the quantum stochastic differential equation of Hudson and Parthasarathy. On one side, such an evolution can be defined also by a standard Schroedinger equation with a singular and unbounded Hamiltonian operator K. On the other side, such an evolution can be obtained also as a limit from Hamiltonian repeated interactions in discrete time. We study how the structure of the Hamiltonian K emerges in the limit from repeated to continuous interactions. We present results in the case of 1dimensional multiplicity and system spaces, where calculations can be explicitly performed, and the proper formulation of the problem can be discussed. 
