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|Title: ||Renormalization analysis of correlation properties in a quasiperiodically forced two-level system|
|Authors: ||Mestel, B.D.|
Osbaldestin, Andrew H.
|Issue Date: ||2002|
|Abstract: ||We give a rigorous renormalization analysis of the self-similarity of correlation functions in a quasiperiodically forced two-level system. More precisely, the system considered is a quantum two-level system in a time-dependent field consisting of periodic kicks with amplitude given by a discontinuous modulation function driven in a quasiperiodic manner at golden mean frequency. Mathematically, our analysis consists of a description of all piecewise-constant periodic orbits of an additive functional recurrence. We further establish a criterion for such orbits to be globally bounded functions. In a particular example, previously only treated numerically, we further calculate explicitly the asymptotic height of the main peaks in the correlation function.|
|Description: ||This pre-print has been submitted, and accepted, to the journal, Journal of Mathematical Physics [© American Institute of Physics]. The definitive version: MESTEL, B.D. and OSBALDESTIN, A.H., 2002. Renormalization analysis of correlation properties in a quasiperiodically forced two-level system. Journal of Mathematical Physics, 43(7), pp. 3458-3483, is available at: http://jmp.aip.org/jmp/.|
|Appears in Collections:||Pre-prints (Maths)|
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