Accelerator dynamics of a fractional kicked rotor

Details Accelerator dynamics of a fractional kicked rotor Accelerator dynamics of a fractional kicked rotor

2006-09-14

arxiv.org/abs/nlin/0609036v1

Phys. Rev. E 75, 037201 (2007)

Nonlinear Sciences

Chaotic Dynamics

Submitted for publication in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.75.037201

It is shown that the Weyl fractional derivative can quantize an open system. A fractional kicked rotor is studied in the framework of the fractional Schrodinger equation. The system is described by the non-Hermitian Hamiltonian by virtue of the Weyl fractional derivative. Violation of space symmetry leads to acceleration of the orbital momentum. Quantum localization saturates this acceleration, such that the average value of the orbital momentum can be a direct current and the system behaves like a ratchet. The classical counterpart is a nonlinear kicked rotor with absorbing boundary conditions.

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