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Phys. Rev. A 57, 3184–3187 (1998)

Quantum-state sensitivity to initial conditions

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Gonzalo Garcia de Polavieja*
Physical and Theoretical Chemistry Laboratory, South Parks Road, Oxford OX1 3QZ, United Kingdom

Received 25 November 1997; published in the issue dated May 1998

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.

© 1998 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.57.3184
DOI:
10.1103/PhysRevA.57.3184
PACS:
03.65.Bz, 05.45.+b

*Electronic address: gonzalo@rydberg.thchem.ox.ac.uk