artículo
Regularity of solutions to linear stochastic Schrodinger equations
Fecha
2007Registro en:
10.1142/S0219025707002725
1793-6306
0219-0257
WOS:000250893800005
Autor
Mora, Carlos M.
Rebolledo, Rolando
Institución
Resumen
We develop linear stochastic Schrodinger equations driven by standard cylindrical Brownian motions (LSSs) that unravel quantum master equations in Lindblad form into quantum trajectories. More precisely, this paper establishes the existence and uniqueness of the smooth strong solution X-t to a LSS with regular initial condition. Moreover, we obtain that the mean value of the square norm of X-t is constant. We also treat the approximation of LSSs by ordinary stochastic differential equations. We apply our results to: (i) models of quantum measurements of position and momentum; and (ii) a system formed by fermions.