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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| Veröffentlicht in: | Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2011-08, Vol.44 (33), p.335101-12 |
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| container_issue | 33 |
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| container_title | Journal of physics. A, Mathematical and theoretical |
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| creator | PROBST, B DUBERTRAND, R WIMBERGER, S |
| description | 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. |
| doi_str_mv | 10.1088/1751-8113/44/33/335101 |
| format | Article |
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| language | eng |
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| source | IOP Publishing Journals; Institute of Physics (IOP) Journals - HEAL-Link |
| subjects | Approximation Atom and neutron interferometry Evolution Exact sciences and technology Mathematical analysis Mathematical models Orbits Physical, chemical, mathematical & earth Sciences Physics Physique Physique, chimie, mathématiques & sciences de la terre Quantum transport Rotational Rotors Semiclassical methods Temporal logic |
| title | Fidelity of the near-resonant quantum kicked rotor |
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