Ulam method for the Chirikov standard map
نویسندگان
چکیده
منابع مشابه
Poincaré recurrences and Ulam method for the Chirikov standard map
We study numerically the statistics of Poincaré recurrences for the Chirikov standard map and the separatrix map at parameters with a critical golden invariant curve. The properties of recurrences are analyzed with the help of a generalized Ulam method. This method allows us to construct the corresponding Ulam matrix whose spectrum and eigenstates are analyzed by the powerful Arnoldi method. We...
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(1959) Chirikov criterion (1969) Classical map: ¯ p = p + K sin x ¯ x = x + ¯ p (1979) Quantum map (kicked rotator): ¯ ψ = e −î p 2 /2 e −iK / cosˆx ψ (1959-2008) Hamiltonian classical / quantum chaos : H (ˆ p , ˆ x) = ˆ p 2 / 2 + K cosˆx m δ (t − m) [ ˆ p , ˆ x ] = −i (2001) Quantum computations (2008) Ongoing experiments with cold atoms and Bose-Einstein condensates
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ژورنال
عنوان ژورنال: The European Physical Journal B
سال: 2010
ISSN: 1434-6028,1434-6036
DOI: 10.1140/epjb/e2010-00190-6