Fractal noise in quantum ballistic and diffusive lattice systems

被引：8

作者：

Amanatidis, EJ ^{[1
]}

Katsanos, DE ^{[1
]}

Evangelou, SN ^{[1
]}

机构：

[1] Univ Ioannina, Dept Phys, GR-45110 Ioannina, Greece

来源：

PHYSICAL REVIEW B | 2004年 / 69卷 / 19期

关键词：

D O I：

10.1103/PhysRevB.69.195107

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We demonstrate fractal noise in the quantum evolution of wave packets moving either ballistically or diffusively in periodic and quasiperiodic tight-binding lattices, respectively. For the ballistic case with various initial superpositions we obtain a space-time self-affine fractal Psi(x,t) which verifies the predictions by Berry for "a particle in a box," in addition to quantum revivals. For the diffusive case self-similar fractal evolution is also obtained. These universal fractal features of quantum theory might be useful in the field of quantum information, for creating efficient quantum algorithms, and can possibly be detectable in scattering from nanostructures.

引用

页码：195107 / 1

页数：8

共 21 条

[11] Propagation of Bose-Einstein condensates in a magnetic waveguide [J].