Tunable two-axis spin model and spin squeezing in two cavities

Multi-mode cavities have now attracted much attention both experimentally and theoretically. In this paper, inspired by recent experiments of cavity-assisted Raman transitions, we realize a two-axis spin Hamiltonian H = q(J_x~2+ χJ_y~2) + ω_0J_z in two cavities. This realized Hamiltonian has a distinct property that all parameters can be tuned independently. For proper parameters, the well-studied one- and two-axis twisting Hamiltonians are recovered, and the scaling of N~(-1) of the maximal squeezing factor can occur naturally. On the other hand, in the two-axis twisting Hamiltonian, spin squeezing is usually reduced when increasing the atomic resonant frequency ω_0. Surprisingly, we find that by combining with the dimensionless parameter χ(-1), this atomic resonant frequency ω_0 can enhance spin squeezing greatly. These results are beneficial for achieving the required spin squeezing in experiments.     

General Solution and Localized COherent Soliton Structures of the （2＋1）—Dimensional Generalized Davey—Stewarson Equations

In this paper,the variable separation approach is used to obtain localized coherent structures of the (2 1)-dimensional generalized Davey-Stewarson equations:iqt 1/2(qxx=qyy) (R S)q=0,Rx=-σ/2|q|y^2,Sy=-σ/2|q|2/x.Applying a special Baecklund transformation and introducing arbitrary functions of the seed solutions.and abundance of the localized structures of this model is derived,By selceting the arbitrary functions appropriately,some special types of localized excitations such as dromions,dromion lattice,breathers,and instantons are constructed.     

Two-Parameter Deformed Quantum Algebra SUq,s(4)

The commutation relations of thegenerators of the two-parameter deformed quantum algebra SU_q,s(4) are given and irreducible q,s-tensor operators of rank (1/2) of the quantum algebra SU_q,s(2) are constructed.     

AlH~+离子5个Λ-S态和10个?态的光谱性质以及激光冷却的理论研究

利用考虑Davidson修正的内收缩多参考组态相互作用(icMRCI+Q)方法结合相关一致基组aug-ccpV6Z计算了AlH~+离子前两个离解极限对应的5个Λ-S态和10个?态的势能曲线.为了提高势能曲线的可靠性和精确性,计算中考虑了自旋轨道耦合效应、芯电子价电子相关和标量相对论修正以及将势能外推至完全基组极限.基于得到的势能曲线,获得了束缚和准束缚的4个Λ-S态和8个?态的光谱常数和振动能级,与已有的实验结果符合.计算了2(1/2)→X~2Σ_(1/2)~+和A~2Π_(3/2)→X~2Σ_(1/2)~+跃迁的跃迁偶极距.利用计算的精确的势能曲线和跃迁偶极矩,获得了2(1/2)~(第一势阱)(υ′=0, 1)→X~2Σ_(1/2)~+(υ′′)和A~2Π_(3/2)(υ′=0, 1)→X~2Σ_(1/2)~+(υ′′)跃迁的高度对角化分布的Franck-Condon因子(f_(00)和f_(11))和大的振动分支比;预测了2(1/2)~(第一势阱)(υ′=0, 1)和A~2Π_(3/2)(υ′=0, 1)态短的自发辐射寿命和窄的辐射宽度,这适合于AlH~+离子的快速激光致冷.所需的3束激光冷却波长都在紫外区域.这些结果表明了激光冷却AlH~+离子的可行性.此外,评估了自旋轨道耦合效应对光谱常数、振动能级和激光冷却AlH~+离子的影响.     

BaF radical: A promising candidate for laser cooling and magneto-optical trapping

Recently, there have been great interest and advancement in the field of laser cooling and magneto-optical trapping of molecules. The rich internal structure of molecules naturally lends themselves to extensive and exciting applications. In this paper, the radical~(138)Ba~(19) F, as a promising candidate for laser cooling and magneto-optical trapping, is discussed in detail.The highly diagonal Franck–Condon factors between the X~2Σ~+_(1/2)and A~2Π_(1/2) states are first confirmed with three different methods. Afterwards, with the effective Hamiltonian approach and irreducible tensor theory, the hyperfine structure of the X~2Σ~+_(1/2)state is calculated accurately. A scheme for laser cooling is given clearly. Besides, the Zeeman effects of the upper(A~2Π_(1/2)) and lower(X~2Σ~+_(1/2)) levels are also studied, and their respective g factors are obtained under a weak magnetic field.Its large g factor of the upper state A~2Π_(1/2) is advantageous for magneto-optical trapping. Finally, by studying Stark effect of Ba F in the X~2Σ~+_(1/2), we investigate the dependence of the internal effective electric field on the applied electric field. It is suggested that such a laser-cooled Ba F is also a promising candidate for precision measurement of electron electric dipole moment.     

One- and Two-Mode Combination Squeezing Operator for Two Harmonic Oscillators with Coordinate-Momentum Coupling

By virtue of the technique of integration within an ordered product of operators, we derive the normal ordering expansion of a one- and two-mode combination squeezing operator for two harmonic oscillators with coordinate- momentum coupling. It turns out that this squeezing operator just diagonalizes the Hamiltonian H=p^21/2m1＋m1ω^21x^21/2＋p^222m2＋m2ω^22x^22/2-λx2p1 so its ground state is a one- and two-mode combination squeezed state. Quantum fluctuation in the ground state is calculated.     

Realization of the N(odd)-Dimensional Quantum Euclidean Space by Differential Operators

The quantum Euclidean space R_q^N is a kind of noncommutative space that is obtained from ordinary Euclidean space R^N by deformation with parameter q. When N is odd, the structure of this space is similar to R_q³. Motivated by realization of R_q³ by differential operators in R³, we give such realization for R_q⁵ and R_q⁷ cases and generalize our results to R_q^N (N odd) in this paper, that is, we show that the algebra of R_q^N can be realized by differential operators acting on C^∝ functions on undeformed space R^N.     

Differential cohomology of C (a)

Let be a finite dimensional real Lie algebra and ^* its dual. ^* is a Poisson manifold. Thus the space C^∞( ^*) of C^∞ functions on ^* has an associative and a Lie algebra structure. The problem of formal deformations of such a structure needs the determination of some cohomology groups of C^∞( ^*), considered as a module on itself for left multiplication or adjoint representation. We determine here these groups. The result is very similar to the case of C^∞(W), where W is a symplectic manifold except for the Lie algebras h_r × ^m, direct products of Heisenberg and abelian Lie algebras.     

ZnAl2O4:Cr3+晶体4A2基态ZFS及其三角晶格畸变研究

用对角化哈密顿矩阵的方法,借助New man晶场叠加模型,研究了ZnAl₂O₄:Cr³⁺晶体的基态零场分裂(ZFS)及其电子光谱,理论结果与实验一致.定量研究表明,掺杂晶体ZnAl₂O₄:Cr³⁺中,络离子(CrO₆)^9-局域结构应有压缩的三角畸变(△θ=3.06°).同时指出,自旋二重态对⁴A₂基态ZFS参量b₂⁰的贡献不可忽略,而对g因子的贡献甚微.     

The Multi-Pole Neveu-Schwarz Algebra on Riemann Supersphere

According to the Riemann-Roch theorem, we construct bases H_-n⁽ⁱ⁾ and N_-m^(f), for the meromorphic λ = -1 and λ = -1/2 differentials on the Riemann sphere S². The dual bases, A_-n⁽ⁱ⁾, and D_-m^(j), of these meromorphic λ differentials on C_r curves are defined. Expanding the component fields TB(z) and TF(z) of the stress-energy tensor T(z) in the superconformal field theory by the dual bases A_-n⁽ⁱ⁾, and D_-m^(j), respectively, we obtain a series of expanding coefficients. The commutation relations among these coefficients are given explicitly, which,is just the multi-pole Neveu-Schwarz algebra with central extensions on the Riemann supersphere S. Physical implics tions of the algebra are also discussed.     

Quantum and super-quantum group related to the Alexander-Conway polynomial

We describe the quasitriangular structure (universal R-matrix) on the nonstandard quantum group U_q(H₁, H₂, X^±) associated to the Alexander-Conway matrix solution of the Yang-Baxter equation. We show that this Hopf algebra is connected with the super-Hopf algebra U_qgl(1 | 1) by a general process of superization.     

Measurement of the slope parameter for the neutral pion spectrum in KL → πππ decay

The π⁰ spectrum in the K_L⁰ → 3π decay was measured using a wire chambers magnetic spectrometer. In the usual approximation, the matrix element can be expressed as: M² ≈ 1 + 2a₀(M_K/M_π²)(2T_π⁰−T_π⁰max) + a₁(M_K²/M_π⁴)(2T_π⁰−T_π⁰max)². We obtained a₀ = −0.282 ± 0.011 and a₁ consistent with zero.     

Studies of Bs^0 → η＇η＇ Decays in pQCD Approach

We calculate the CP averaged branching ratios and CP-violating asymmetries for Bs^0 → η＇η＇ and η＇η＇ decays in the perturbative QCD （pQCD） approach here. The pQCD predictions for the C P-averaged branching ratios are Br（Bs^0 → ηη）=（14.2-7.5^＋18.0） ×10^-6,Br（Bs^0 → ηη＇）=（12.4-7.0^＋18.2）×10^-6,and Br（Bs^0 → η＇η＇） =（9.2-4.9^＋15.3）×10^-6, which agree well with those obtained by employing the QCD factorization approach and also be consistent with available experimental upper limits. The gluonic contributions are small in size： less than 7% for Bs →ηηand ηη＇ decays, and around 18% for Bs →η＇η＇ decay. The CP-violating asymmetries for three decays are very small： less than 3% in magnitude.     

Non—spectator Diquark Effiects on Lifetimes of Λb,Ωb（＊） and Weak Decay Rates of ∑bΞb（＊）

The difference of τB and τAb indicates the role of the light flavors,We calculate the lifetinmes of B-meson and Λb based on the weak effective Hamiltonian while assuming the heavy baryon is constructed by a heavy b-quark and a diquark containing two light quarks.In this scenario,we use the information of the measured ratio τΛb/τB as input to predict rates of the inclusive weak decays of ∑b^(*) and Ξb^(*) into non-bottom final states.We find that these rates of ∑b^(*) and Ξb^(*) are much larger than those of B-mesons and Λb,We also give the predictions for the lifetimes of Ωb and Ω,Pheomenological implication of our result is discussed.     

Li+和Er3+掺杂对Ba2SiO4：Eu2+发光性能的影响

采用化学沉淀法一次煅烧工艺制备了Ba_1.99-x/2-2ySiO₄:Eu_0.01²⁺, Li_x+y²⁺, Eu_y³⁺绿色荧光粉, 用X射线衍射仪和荧光分光光度计对样品的晶体结构、发光性能进行表征. 结果表明: 少量Eu²⁺, Li⁺和Er³⁺的共掺杂没有改变晶体结构; 其激发光谱分布在270–440 nm波长范围, 谱峰位于288 nm, 360 nm处, 可以被InGaN 管芯产生的360–410 nm辐射有效激发; 在360 nm近紫外光激发下, 测得其发射光谱峰值在500 nm 处, 是Eu²⁺4f⁶5d¹→4f⁷跃迁的典型发射; 荧光粉发光强度随着Li⁺掺杂量的增大先增强, 后减弱, 当x=0.1时, 发光强度最大; 随着Li⁺, Er³⁺共掺杂量的增加(y=0.012), 出现位于530 nm和488 nm的发射峰, 对应于Er³⁺的²H_11/2→⁴I_15/2和⁴F_7/2→⁴I_15/2特征发射, 同时分析了Eu²⁺→Er³⁺的能量传递过程. 关键词： 化学沉淀法 2SiO₄：Eu²⁺,Li⁺,Er³⁺')" href="#">Ba₂SiO₄：Eu²⁺,Li⁺,Er³⁺ 能量传递 发光性能     

CaMoO4：Eu3+,Bi3+,Li+红色荧光粉的共沉淀制备与表征

采用共沉淀法合成了红色荧光粉Ca_0.75MoO₄：Eu_0.25³⁺、Ca_0.75MoO₄：Eu_0.25-x³⁺,Bi_x³⁺及Ca_0.5MoO₄：Eu_0.25-2x³⁺, Bi_x³⁺,Li_0.25+x⁺,并采用X射线衍射(XRD)、拉曼光谱,扫描电镜(SEM)和荧光光谱(PL)测定分析了其结构形貌特征及发光性能。结果表明：制备的CaMoO₄：Eu³⁺,Bi³⁺,Li⁺红色荧光粉为白钨矿结构,颗粒尺寸约为0.5~1 μm。掺杂Bi³⁺的Ca_0.75MoO₄：Eu_0.25-x³⁺,Bi_x³⁺的相对发光强度明显高于未掺Bi³⁺的Ca_0.75MoO₄：Eu_0.25³⁺荧光粉。Bi³⁺离子的掺杂将吸收来的能量传递给激活离子Eu³⁺,起到了能量传递的作用。当Bi³⁺掺杂量为x=0.005时,在395 nm激发下,主发射峰在616 nm处的相对发光强度最大,但掺杂浓度过高时会出现浓度猝灭现象。另外,电荷补偿剂的掺入能够解决材料中因同晶取代引起的电荷不平衡的问题,以Li⁺作电荷补偿剂、Eu³⁺和 Bi³⁺共掺合成的Ca_0.5MoO₄：Eu³⁺_0.23,Bi_0.01³⁺,Li⁺_0.26红色荧光粉的发光性能强于Ca_0.75MoO₄：Eu_0.25³⁺、Ca_0.5MoO₄：Eu_0.25³⁺, Li_0.25⁺及Ca_0.75MoO₄：Eu_0.24³⁺,Bi_0.01³⁺。     

A Phenomenological Expression for Deuteron Electromagnetic Form Factors Based on Perturbative QCD Predict ions

For deuteron's electromagnetic form factors, perturbative QCD (pQCD) predicts that G₀₀⁺ becomes the dominate helicity amplitude and G₊₀⁺ and G_{+ -}⁺ are suppressed by factors A_QCD/Q and A_QCD²/Q² at large Q² respectively. We try to discuss the higher-order corrections beyond the pQCD asymptotic predictions by interpolating an analytical form to the intermediate energy region. From fitting the data, our results show that the helicity-zero to zero matrix element G₀₀⁺ dominates the gross structure function A(Q²) in both the large and intermediate energy regions. It is a good approximation for G_{+ -}⁺ to ignore the higher-order contributions and the higher-order corrections to G₊₀⁺ should be taken into account due to sizeable contributions in the intermediate energy region.     

超冷铯分子0u+(6P3/2)长程态的高灵敏光缔合光谱研究

利用发展的调制俘获损耗荧光光谱技术实验测量了超冷铯分子0_u⁺(6P_3/2)长程态的高灵敏光缔合光谱. 光谱探测范围较国际已有报道扩大了60 cm^-1, 观察到25个长程区域新的振动能级. 通过LeRoy-Bernstein公式对振动束缚能数据进行拟合, 获得了超冷铯分子0_u⁺(6P_3/2)态的长程系数C₃ 为16.103±0.010. 构建了超冷铯分子0_u⁺(6P_3/2)态长程区域的势能曲线.     

Reanalysis of the Z_c(4020), Z_c(4025), Z(4050) and Z(4250) as Tetraquark States with QCD Sum Rules

In this article, we calculate the contributions of the vacuum condensates up to dimension-10 in the operator product expansion, and study the C γμ- Cγνtype scalar, axial-vector and tensor tetraquark states in details with the QCD sum rules. In calculations, we use the formula μ = (M 2X/ Y /Z-(2Mc)2)~(1/2) to determine the energy scales of the QCD spectral densities. The predictions MJ =2=(4.02+0.09-0.09) GeV, MJ =1=(4.02+0.07-0.08) GeV favor assigning the Zc(4020) and Zc(4025) as the JP C= 1+-or 2++diquark-antidiquark type tetraquark states, while the prediction M++J =0=(3.85+0.15-0.09) GeV disfavors assigning the Z(4050) and Z(4250) as the JP C= 0diquark-antidiquark type tetraquark states. Furthermore, we discuss the strong decays of the 0++, 1+-, 2++diquark-antidiquark type tetraquark states in details.     

Mixing of Pseudo-Goldstone Bosons and Effects on HERA High-Q2 Events

We study the mixing of pseudo-Goldstone bosons predicted by technicolor theory and the effects on HERA high-Q² events. We find that: (a) there eyist two F = 0 scalar leptoquarks P₃′ with m(P₃′) = 200 GeV and P₃⁰ with m(₃⁰) =225 GeV for β₁ = β₂ = 0.4; (b) the P₃′ and P₃⁰ can contribute the required cross section to account for the excesses of NC and CC high-Q² events; (c) the coexistence of P₃′ and P₃⁰ may be responsible for the splitting of averaged mass of the H1 and ZEUS high-Q² neutral current events.