TY - JOUR
T1 - Temporal crossover from classical to quantum behavior
T2 - a Markov-chain approach
AU - Lai, Ying Cheng
AU - Ott, Edward
AU - Grebogi, Celso
PY - 1993/2/1
Y1 - 1993/2/1
N2 - Previous renormalization group analyses that for chaotic systems near their critical points, the crossover time from classical to quantum behaviors scales with the Planck constant h{stroke} as tmax∼h{stroke}-μ. We argue that the same scaling relation also holds for typical two-degrees-of-freedom and time-independent chaotic Hamiltonian systems. Our analysis makes use of a self-similar Markov-chain model which was previously used to qualitatively explain the algebraic decay law in Hamiltonian systems.
AB - Previous renormalization group analyses that for chaotic systems near their critical points, the crossover time from classical to quantum behaviors scales with the Planck constant h{stroke} as tmax∼h{stroke}-μ. We argue that the same scaling relation also holds for typical two-degrees-of-freedom and time-independent chaotic Hamiltonian systems. Our analysis makes use of a self-similar Markov-chain model which was previously used to qualitatively explain the algebraic decay law in Hamiltonian systems.
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U2 - 10.1016/0375-9601(93)90178-3
DO - 10.1016/0375-9601(93)90178-3
M3 - Article
AN - SCOPUS:0001758524
SN - 0375-9601
VL - 173
SP - 148
EP - 152
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 2
ER -