Fidelity of the near-resonant quantum kicked rotor
We present a perturbative result for the temporal evolution of the fidelity of the quantum kicked rotor, i.e. the overlap of the same initial state evolved with two slightly different kicking strengths, for kicking periods close to a principal quantum resonance. Based on a pendulum approximation, we...
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| Main Authors: | , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
27 July 2011
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| In: |
Journal of physics. A, Mathematical and theoretical
Year: 2011, Volume: 44, Issue: 33, Pages: 1-12 |
| ISSN: | 1751-8121 |
| DOI: | 10.1088/1751-8113/44/33/335101 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1088/1751-8113/44/33/335101 Verlag, lizenzpflichtig, Volltext: https://dx.doi.org/10.1088/1751-8113/44/33/335101 
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| Author Notes: | B. Probst, R. Dubertrand and S. Wimberger |
| Summary: | We present a perturbative result for the temporal evolution of the fidelity of the quantum kicked rotor, i.e. the overlap of the same initial state evolved with two slightly different kicking strengths, for kicking periods close to a principal quantum resonance. Based on a pendulum approximation, we describe the fidelity for rotational orbits in the pseudo-classical phase space of a corresponding classical map. Our results are compared to numerical simulations indicating the range of applicability of our analytical approximation. |
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| Item Description: | Gesehen am 17.01.2023 |
| Physical Description: | Online Resource |
| ISSN: | 1751-8121 |
| DOI: | 10.1088/1751-8113/44/33/335101 |