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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/.
URI: https://dspace.lboro.ac.uk/2134/436
Appears in Collections:Pre-prints (Maths)

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