General Approach to the Quantum Kicked Particle in a Magnetic Field: Quantum-Antiresonance Transition

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dc.creatorDana, Itzhack
dc.creatorDorofeev, Dmitry L.
dc.date2005-04-13
dc.date2005-12-14
dc.date.accessioned2026-07-07T06:40:18Z
dc.date.available2026-07-07T06:40:18Z
dc.descriptionThe quantum kicked particle in a magnetic field is studied in a weak-chaos regime under realistic conditions, i.e., for {\em general} values of the conserved coordinate $x_{\rm c}$ of the cyclotron orbit center. The system exhibits spectral structures [``Hofstadter butterflies'' (HBs)] and quantum diffusion depending sensitively on $x_{\rm c}$. Most significant changes take place when $x_{\rm c}$ approaches the value at which quantum antiresonance (exactly periodic recurrences) can occur: the HB essentially ``doubles'' and the quantum-diffusion coefficient $D(x_{\rm c})$ is strongly reduced. An explanation of these phenomena, including an approximate formula for $D(x_{\rm c})$ in a class of wave packets, is given on the basis of an effective Hamiltonian which is derived as a power expansion in a small parameter. The global quantum diffusion of a two-dimensional wave packet for all $x_{\rm c}$ is briefly considered.
dc.descriptionRevised Version, published
dc.identifierhttps://arxiv.org/abs/nlin/0504030
dc.identifierhttp://arxiv.org/abs/nlin/0504030
dc.identifierPhysical Review E 72, 046205 (2005)
dc.identifierdoi:10.1103/PhysRevE.72.046205
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101362
dc.subjectChaotic Dynamics
dc.subjectMesoscale and Nanoscale Physics
dc.subjectMathematical Physics
dc.subjectAtomic Physics
dc.subjectQuantum Physics
dc.titleGeneral Approach to the Quantum Kicked Particle in a Magnetic Field: Quantum-Antiresonance Transition
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