ANOMALOUS DIFFUSION IN THE KICKED HARPER SYSTEM
نویسندگان
چکیده
منابع مشابه
Quantum diffusion in a biased kicked Harper system.
Quantum diffusion in a biased kicked Harper system, modeling field-induced transport in superlattices, is studied for fully chaotic dynamics of the underlying classical system. Under these conditions, the classical transport is diffusive whereas the quantum diffusion can be either enhanced or suppressed for commensurable or incommensurable ratio of the Bloch period to the driving period, respec...
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The simulation of complex quantum systems on a quantum computer is studied, taking the kicked Harper model as an example. This well-studied system has a rich variety of dynamical behavior depending on parameters, displays interesting phenomena such as fractal spectra, mixed phase space, dynamical localization, anomalous diffusion, or partial delocalization, and can describe electrons in a magne...
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We study the dynamics of a quantum rotator, impulsively kicked according to the almost-periodic Fibonacci sequence. A special numerical technique allows us to carry on this investigation for as many as 10(12) kicks. It is shown that above a critical kick strength, the excitation of the system is well described by regular diffusion, while below this border it becomes anomalous and subdiffusive. ...
متن کاملQuantum Chaos and Spectral Transitions in the Kicked Harper Model
In contrast to bounded systems, quantum chaos in extended systems may be associated with fractal spectra, metal-insulator transitions due to avoided band crossings, and spreading wave packets. In this lecture we point out the role of avoided band crossings for spectral transitions in the example of the kicked Harper model. We explain the coexistence of localized and extended eigenfunctions oo t...
متن کاملTopological singularities and transport in kicked Harper model.
Quasienergy spectrum of kicked Harper model is found to exhibit a series of diabolic crossings. These conical degeneracies reside mostly on the symmetry line of its two-dimensional parameter space and their locations are found to coincide with the local maxima of the kinetic energy of the kicked system. Additionally, there are exceptional point singularities, that are found by analytically cont...
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ژورنال
عنوان ژورنال: Fractals
سال: 1996
ISSN: 0218-348X,1793-6543
DOI: 10.1142/s0218348x96000480