Adiabatic evolution of eigenspectra of model 1-d and 2-d Hamiltonians: Quantum adiabatic switching algorithm in a time-independent Fourier grid Hamiltonian framework

作     者：Sarkar, P Bhattacharyya, SP 

作者机构：Indian Assoc Cultivat Sci Dept Phys Chem Calcutta 700032 W Bengal India 

出 版 物：《INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY》 (国际量子化学杂志)

年 卷 期：1998年第67卷第3期

页      面：133-141页

核心收录：

学科分类：081704[工学-应用化学] 07[理学] 070304[理学-物理化学(含∶化学物理)] 08[工学] 0817[工学-化学工程与技术] 0703[理学-化学] 0701[理学-数学] 0702[理学-物理学] 

主　　题：Mechanics Formulation Systems Field Hamiltonian Exchange Algorithm mechanic Fourier disorientation to time Mechanics Adiabatic 

摘      要：We explore the viability of a time-independent quantum adiabatic switching algorithm in the Fourier grid Hamiltonian (FGH) framework in the presence of degeneracy, avoided crossing, and chaos. The algorithm is simple and cost effective and provides information about the full eigenspectrum of the evolving Hamiltonian. It is shown to be capable of capturing accurately the change in the pattern of level spacing distribution statistics as one switches from a nonchaotic region of parameter values into the chaotic region. The Transition turns out to be less sharp than anticipated. (C) 1998 John Wiley & Sons, Inc.