Abstract
The different time-dependent distances of two arbitrarily close quantum or classical statistical states to a third fixed state are shown to imply an experimentally relevant notion of state sensitivity to initial conditions. A quantitative classification scheme of quantum states by their sensitivity and instability in state space is given that reduces to the one performed by classical mechanical Lyapunov exponents in the classical limit.
- Received 25 November 1997
DOI:https://doi.org/10.1103/PhysRevA.57.3184
©1998 American Physical Society