General Approach to the Quantum Kicked Particle in a Magnetic Field: Quantum-Antiresonance Transition
arXiv:nlin/0504030 · doi:10.1103/PhysRevE.72.046205
Abstract
The 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 of the cyclotron orbit center. The system exhibits spectral structures [``Hofstadter butterflies'' (HBs)] and quantum diffusion depending sensitively on . Most significant changes take place when approaches the value at which quantum antiresonance (exactly periodic recurrences) can occur: the HB essentially ``doubles'' and the quantum-diffusion coefficient is strongly reduced. An explanation of these phenomena, including an approximate formula for 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 is briefly considered.
arXiv commentRevised Version, published
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