Signature of chaos in the semi quantum behavior of a classically regular triple well heterostructure

• 作者: Serge Bruno Yamgoue Timoleon Crepin Kofane Tiokeng Olivier Lekeufack
• 来源期刊: 自然科学期刊(英文)
• 学科: 数学
• 关键词: Nonlinear Dynamics SEMI Quantum CHAOS Effective Potential
• 年，卷（期）: zrkxqkyw_2010,（3）
• 页码范围: 145-154
• 页数: 10页
• 分类号: O1

摘要

We analyze the phenomenon of semiquantum chaos in the classically regular triple well model from classical to quantum. His dynamics is very rich because it provides areas of regular be-havior, chaotic ones and multiple quantum tun-neling depending on the energy of the system as the Planck’s constant varies from 0 to 1. The Time Dependent Variational Principle TDVP using generalized Gaussian trial wave function, which, in many-body theory leads to the Hartree Fock Approximation TDHF, is added to the tech-niques of Gaussian effective potentials and both are used to study the system. The extended classical system with fluctuation variables non- linearly coupled to the average variables exhibit energy dependent transitions between regular behavior and semi quantum chaos monitored by bifurcation diagram together with some numerical indicators.