Hamiltonian systems kicked rotor system

To date there are only a few studies of the quantum dynamics associated with classical anomalous diffusion. We consider here a recent study by Brumer and co-workers, who showed that quantum effects can further accelerate classical anomalous diffusion [97]. This is highly counterintuitive, since people tend to believe that in aU cases quantum effects suppress classical chaotic transport. The system they studied is a modified kicked rotor system, whose Hamiltonian is given by... 

It turns out that this analysis applies only to systems with a bounded phase space. It is possible that topological restrictions on the accessible phase space - and not only the form of the particular Hamiltonian -play a crucial role in determining when the weak form of the QCT actually applies. For example, this might explain why the open-system quantum delta-kicked rotor is a counter-example to naive expectations regarding the QCT (S. Habib et.al., 2002). 

Gaspard and Rice [35] also proposed a four-dimensional map in order to smdy Hamiltonian systems with Arnold diffusion. The model Hamiltonian is a free rotor in a Morse-like kicking field and takes the following form ... 

Here we employ the quantum kicked rotor as a simple model of quanmm chaos systems. The Hamiltonian of a kicked rotor is written as... 

A time diagram of the electric field bursts (5.1.1) is shown in Fig. 5.3. A planar rotor perturbed by a sequence of delta kicks according to (5.1.1) is known as the kicked rotor. In order to familiarize ourselves with the physics of kicked systems, we focus in this section on the classical mechanics of the kicked rotor. If we denote by L the angular momentum of the rotor, the Hamiltonian function of the kicked rotor is given by... 

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See also in sourсe #XX -- [ ]

See also in sourсe #XX -- [ ]

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