On Quantum Stochastic Dynamics

A.W. Majewski, B. Zegarlinski

1996, v.2, №1, 87-116

ABSTRACT

We review a recent progress in the domain of quantum stochastic dynamics for quantum spin system on a lattice. In particular, we present some new construction of noncommutative $L_p$ spaces and we show how one can exploit this framework to construct stochastic dynamics of jump and diffusion type.

Keywords: non-commutative $L_p$ spaces,stochastic spin flip and diffusion dynamics,quantum spins,systems on a lattice,finite range interactions