Manifestation of Quantum Chaos in the Spectra of Quantum Well with Tilted Magnetic Field

作     者：LIU Bo DAI Jian-hua ZHANG Guang-cai ZHANG Hong-jun 刘波;戴建华;张广才;张洪钧

作者机构：Laboratory of Optical PhysicsInstitute of Physics&Center for Condensed Matter PhysicsChinese Academy of SciencesBeijing 100080 

出 版 物：《Chinese Physics Letters》 (中国物理快报（英文版）)

年 卷 期：1999年第16卷第2期

页      面：140-142页

核心收录：

学科分类：07[理学] 070201[理学-理论物理] 0702[理学-物理学] 

基　　金：Supported by the National Natural Science Foundation of China under Grant No.69778013 

主　　题：field. quantum unitary 

摘      要：Two statistical properties,the nearest neighbor energy level spacing distribution P(s)and the spectral rigidityΔ3(L),are reported for energy level of a quantum well in a tilted magnetic ***-reversal(T)symmetry is broken in the *** system is invariant under the anti-unitary combination of symmetric operations which include T,leading to what is called false *** the increasing magnetic field,P(s)andΔ3(L)change from Brody type-like distribution to the Gaussian orthogonal ensemble(GOE)*** result is a clear manifestation of quantum chaos in the system and is in agreement with the prediction of which the false T-violation suffices to give the energy spectra the properties of the GOE,instead of the Gaussian unitary ensemble(GUE).The result indicates that the system translates from mixed-type state to quantum chaotic ***,the spectral rigidityΔ3(L)turns into GUE with the magnetic field *** different demonstration of P(s)and theΔ3(L)is due to the counting of only finite semi-classical orbits.