利用770nm脉冲激光激发基态K原子到K(4P1/2)态,在样品池中,利用原子荧光光谱方法,测量了K(4PJ)和N2、He碰撞的精细结构转移截面和碰撞猝灭截面。在不同N2、He气体密度下,通过对4P1/2→4S1/2共振荧光与4P3/2→4S1/2转移荧光的时间积分荧光强度进行测量,得到其荧光强度比与N2、He密度成线性关系。从荧光强度比R与(Nv)-1线性关系图中的直线斜率可以得到4P1/2→4P3/2转移截面为(2.77±0.69)×10^-15cm^2和4P3/2→4P1/2的碰撞转移截面为(1.62±0.41)×10^-15cm^2,从直线的截距计算出K(4P3/2)与N2、He的碰撞猝灭截面为(0.40±0.12)×10^-15cm^2和(0.60±0.18)×10^-16cm^2。
在样品池条件下,利用原子荧光光谱方法,测量了Rb(5D)He,Ar,H2碰撞中5D→7S的激发能量转移截面。获得的荧光包括由激发态产生的直接荧光部分和由于碰撞布居态而产生的敏化荧光部分。在不同的猝灭气体压强下,测量了相关的两部分荧光的相对荧光强度,得到了Rb(5D)与He,Ar和Hz碰撞的5D→7s转移截面分别为(1.2±0.3)×10^-17cm^2,(1.3±0.3)×10^-18cm^2和(8.3±2.1)×10^-17cm^2。同时确定了Rb(7S)与He,Ar和H2的碰撞猝灭速率系数。7s态与H2的碰撞猝灭速率系数1.7×10^-10cm^3·s^-1比Rb(7S)与He,Ar的大得多,它是反应与非反应速率系数之和,利用实验数据确定Rb(7S)与H。的反应截面为(1.O±0.4)×10^-16cm^2,Rb(5D)与H2反应截面为(7.1±2.9)×10^-17cm^2。Rb(7S)与H2的反应活动性大于Rb(5D)。
In the context of
p-adic quantum mechanics, we investigate composite systems of
p-adic qubits and
p-adically controlled quantum logic gates. We build on the notion of a single
p-adic qubit as a two-dimensional irreducible representation of the compact
p-adic special orthogonal group SO(3)
p. We show that the classification of these representations reduces to the finite case, as they all factorise through some finite quotient SO(3)
p mod
pk. Then, we tackle the problem of
p-adic qubit composition and entanglement, fundamental for a
p-adic formulation of quantum information processing. We classify the representations of SO(3)
p mod
p, and analyse tensor products of two
p-adic qubit representations lifted from SO(3)
p mod
p. We solve the Clebsch-Gordan problem for such systems, revealing that the coupled bases decompose into singlet and doublet states. We further study entanglement arising from those stable subsystems. For
p=3, we construct a set of gates from
4-dimensional irreducible representations of SO(3)
p mod
p that we prove to be universal for quantum computation.