Super-sensitivity in Dynamics of Ising Model with Transverse Field:From Perspective of Franck-Condon Principle  

作　　者：徐磊 杨立平 

机构地区：[1]Beijing Computational Science Research Center,Beijing 100084,China [2]Birck Nanotechnology Center and Purdue Quantum Center,School of Electrical and Computer Engineering,Purdue University,West Lafayette,Indiana 47906,USA

出　　处：《Communications in Theoretical Physics》2018年第12期808-816,共9页理论物理通讯（英文版）

基　　金：Supported by the National Basic Research Program of China under Grant Nos.2016YFA0301201 and 2014CB921403,NSFC under Grant No.11534002 and NSAF under Grant Nos.U1730449 and U1530401

摘　　要：We study the role of Franck-Condon(F-C) principle in the dynamics of a central spin system, which is coupled to an Ising chain in transverse field. The transition process of energy levels caused by the excited central spin is studied to manifest the quantum critical effect through the Franck-Condon principle. The super-sensitivity of this quantum critical system is demonstrated clearly from the properties of Franck-Condon factors. We analytically show how spin numbers, coupling strength and order parameter of the Ising chain sensitively effect on the energy level populations in dynamical evolution near the critical point. This super-sensitivity and criticality are explicitly displayed in absorption spectrum.We study the role of Franck-Condon(F-C) principle in the dynamics of a central spin system, which is coupled to an Ising chain in transverse field. The transition process of energy levels caused by the excited central spin is studied to manifest the quantum critical effect through the Franck-Condon principle. The super-sensitivity of this quantum critical system is demonstrated clearly from the properties of Franck-Condon factors. We analytically show how spin numbers, coupling strength and order parameter of the Ising chain sensitively effect on the energy level populations in dynamical evolution near the critical point. This super-sensitivity and criticality are explicitly displayed in absorption spectrum.

关 键 词：FRANCK-CONDON PRINCIPLE ISING model QUANTUM phase TRANSITION super-sensitivity 

分 类 号：O4[理学—物理]