量子电子学报
量子電子學報
양자전자학보
CHINESE JOURNAL OF QUANTUM ELECTRONICS
2010年
3期
293-299
,共7页
量子光学%几何相位%动力学相位%自旋为1/2的粒子%自旋纠缠%匀强磁场
量子光學%幾何相位%動力學相位%自鏇為1/2的粒子%自鏇糾纏%勻彊磁場
양자광학%궤하상위%동역학상위%자선위1/2적입자%자선규전%균강자장
quantum optics%geometric phase%dynamic phase%spin-1/2 particle%spin entanglement%uniform magnetic field
研究了两个自旋为1/2的粒子在自旋相互作用情况下的Berry几何相位纠缠依赖,分别计算了两个自旋为1/2的纠缠粒子之间在存在自旋相互作用和无相互作用下的Berry几何相位,并得到在纠缠消失时几何相位的计算表达式.讨论了两个粒子中只有一个粒子受到外磁场作用时的几何相位.结果发现其几何相位并不等于单个粒子在受到外磁场作用时的几何相位,而是与影响自旋纠缠强度作用的α有关,同时还得到了几何相位依赖于纠缠的普遍公式.
研究瞭兩箇自鏇為1/2的粒子在自鏇相互作用情況下的Berry幾何相位糾纏依賴,分彆計算瞭兩箇自鏇為1/2的糾纏粒子之間在存在自鏇相互作用和無相互作用下的Berry幾何相位,併得到在糾纏消失時幾何相位的計算錶達式.討論瞭兩箇粒子中隻有一箇粒子受到外磁場作用時的幾何相位.結果髮現其幾何相位併不等于單箇粒子在受到外磁場作用時的幾何相位,而是與影響自鏇糾纏彊度作用的α有關,同時還得到瞭幾何相位依賴于糾纏的普遍公式.
연구료량개자선위1/2적입자재자선상호작용정황하적Berry궤하상위규전의뢰,분별계산료량개자선위1/2적규전입자지간재존재자선상호작용화무상호작용하적Berry궤하상위,병득도재규전소실시궤하상위적계산표체식.토론료량개입자중지유일개입자수도외자장작용시적궤하상위.결과발현기궤하상위병불등우단개입자재수도외자장작용시적궤하상위,이시여영향자선규전강도작용적α유관,동시환득도료궤하상위의뢰우규전적보편공식.
The entanglement dependence of Berry's geometric phase is studied in the case of two spin-1/2 particles with a spin-spin interaction.Berry's phases for two spin-1/2 entanglement particles in the presence of spin-spin interaction and noninteraction are calculated,respectively.The expression of calculating geometric phase,when entanglement vanishes,is obtained.Moreover,the geometric phase is discussed when only one of the two particles is affected by the external magnetic field.It is shown that its geometric phase is not equal to that of single particle which is acted by the external magnetic field,and the result is related to α that affect the strength of entanglement. A general entanglement-dependence geometric phase is formulated.
