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Lyapunov exponents from quantum dynamics
Author(s) -
Haake Fritz,
Wiedemann Harald,
Życzkowski Karol
Publication year - 1992
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19925040706
Subject(s) - lyapunov exponent , dynamics (music) , quantum dynamics , quantum , statistical physics , physics , quantum mechanics , nonlinear system , acoustics
We extract classical Lyapunov exponents from the time dependence of quantum mechanical expectation values. Classical chaos is revealed as a quantum transient with a liftetime ∼ ln ħ . Our strategy is shown to work for the example of a periodically kicked top.