原子与分子物理学报
原子與分子物理學報
원자여분자물이학보
CHINESE JOURNAL OF ATOMIC AND MOLECULAR PHYSICS
2008年
2期
293-298
,共6页
张仕勋%邝小渝%朱钦圣%程继文
張仕勛%鄺小渝%硃欽聖%程繼文
장사훈%광소투%주흠골%정계문
纠缠演化%代数动力学%非自治系统
糾纏縯化%代數動力學%非自治繫統
규전연화%대수동역학%비자치계통
entanglement evolution%algebraic dynamics%non-autonomouse system
我们研究了含时旋转磁场中海森堡XXX模型下的双量子比特的动力学演化情况.基于此非自治系统的代数结构,我们用代数动力学方法求得了系统的精确解析解.在此基础上,进一步研究了在不同初态下系统的纠缠测度随时间的演化,发现纠缠测度由系统的初态的系数和耦合强度决定.
我們研究瞭含時鏇轉磁場中海森堡XXX模型下的雙量子比特的動力學縯化情況.基于此非自治繫統的代數結構,我們用代數動力學方法求得瞭繫統的精確解析解.在此基礎上,進一步研究瞭在不同初態下繫統的糾纏測度隨時間的縯化,髮現糾纏測度由繫統的初態的繫數和耦閤彊度決定.
아문연구료함시선전자장중해삼보XXX모형하적쌍양자비특적동역학연화정황.기우차비자치계통적대수결구,아문용대수동역학방법구득료계통적정학해석해.재차기출상,진일보연구료재불동초태하계통적규전측도수시간적연화,발현규전측도유계통적초태적계수화우합강도결정.
We study the dynamics evolution of a two-qubit Heisenberg XXX spin chain under a time-dependent rotating magnetic field. Based on the algebraic structure of the non-autonomouse system, the exact solution of the Schrodinger equation is obtained by using the method of algebraic dynamics. Based on the time-dependent analytical solution, we further study the entanglement evolution between the two coupled spins for different initial states, and find that the entanglement is determined by the coefficients of the initial state and the coupling constant J of the system.