Sokolov VV, Zhirov OV, Alonso D, Casati G
Budker Institute of Nuclear Physics, 630090 Novosibirsk, Russia.
Phys Rev Lett. 2000 Apr 17;84(16):3566-9. doi: 10.1103/PhysRevLett.84.3566.
The quantum kicked rotor map is embedded into a continuous unitary transformation generated by a time-independent quasi Hamiltonian. In some vicinity of a quantum resonance of order q, we relate the problem to the regular motion along a circle in a (q(2)-1) component inhomogeneous "magnetic" field of a quantum particle with q intrinsic degrees of freedom described by the SU(q) group. This motion is in parallel with the classical phase oscillations near a nonlinear resonance.
量子受踢转子映射被嵌入到由与时间无关的准哈密顿量生成的连续幺正变换中。在q阶量子共振的某个邻域内，我们将该问题与具有q个本征自由度的量子粒子在由SU(q)群描述的(q² - 1)分量非均匀“磁场”中沿圆周的规则运动相关联。这种运动与非线性共振附近的经典相位振荡平行。
