Rb(5PJ)与He,N2的碰撞精细结构混合和猝灭

在气体样品池条件下,研究了Rb(5PJ) (He,N2)碰撞能量转移过程.用调频半导体激光器激发Rb原子至Rb(5P3/2)态,在不同的He或N2气压下,测量了直接5P3/2→5S1/2荧光和转移5P1/2→5S1/2荧光.对于Rb(5PJ)与He的碰撞,只发生精细结构转移(略去碰撞猝灭效应),电子态能量仅能转移为He原子的平动能.在与N2的碰撞中,向分子振转态的转移是重要的.本实验中,Rb的密度为4.5×1011 cm-3,由辐射陷获理论得到5P1/2→5S1/2的有效辐射率为2.47×107 s-1.利用速率方程分析,可以得到碰撞转移速率系数,对于He,5P3/2→5S1/2转移速率系数kHe21=2.61×10 12 cm3·s.对于N2,测量5PJ He和5PJ N2两种情况下直接荧光与敏化荧光的相对强度比,利用最小二乘法确定5Pa/2→5S1/2转移速率系数kN212=2.36×10-11 cm3·s,5PJ态猝灭速率系数kN2=1.44×10-11 cm3·s-1.由实验结果证实了Cs-N2主要是直线式碰撞传能机制,与其他实验结果进行了比较.     

Cs(6P)+(Ne,N2)碰撞能量转移

在气体样品池条件下,研究了Cs(6P3/2) (Ne,N2)碰撞能量转移过程.用调频半导体激光器激发Cs原子至Cs(6P3/2)态,在不同的Ne或N2气压下,测量了直接6P3/2→6S1/2荧光和转移6P1/2→6S1/2荧光,对于6P3/2与Ne的碰撞,电子态能量仅能转移为Ne原子的平动能.在与N2的碰撞中,向分子振转态的转移是重要的.利用速率方程分析,可以得到碰撞转移速率系数,对于Ne,6PJ精细结构碰撞转移速率系数为1.45×10-12cm3·s-1.对于N2,测量6P Ne和6P N2二种情况下荧光的相对强度比,确定精细结构速率系数为1.64×10-12cm3·s-1,6P态猝灭速率系数为4.88×10-12cm3·s-1.     

Rb(5P)激发态的辐射及与N2碰撞的能量转移

应用激光吸收和荧光方法,测量了Rb(5P)态与N2碰撞的精细结构混合和碰撞猝灭截面.Rb原子被激光激发到5P3/2态,将与泵浦激光束反向平行的检测激光束调到5PJ→7S1/2的跃迁,测量5PJ激发态的密度及空间分布,由此计算了5PJ→5S的有效辐射率,在T=340K和N2密度0.5×1016＜N＜4×1016cm-3范围内测量了5P1/2→5S1/2(794nm)发射的敏化荧光强度I794,量N/I794与N有抛物线型的关系,表明了5PJ的猝灭是由于与N2分子的碰撞产生的,而不是由与Rb基态原子碰撞产生的.由最小二乘法确定的二次多项式的系数得到5P态与N2碰撞精细结构混合截面σ3/2→1/2=(10.43±3.54)×10-16cm2,猝灭截面σD=(9.8±3.4)×10-16cm2.与在不同的实验条件下得到的结果在误差范围内一致.     

Rb蒸气中的5PJ+5PJ′→5S+5DJ″碰撞能量合并

研究了Rb(5PJ) Rb(5PJ′)→Rb(5S) Rb(5DJ″)的碰撞能量合并过程,一台单模半导体激光器共振激发Rb原子的5P1/2或5P3/2态,另一与泵浦激光束反向平行的单模激光束作为吸收线探测激发态原子密度及其空间分布,吸收线分别调至5P1/2→5D3/2和5P3/2→7S1/2跃迁,由激发态原子密度和谱线荧光比得到碰撞能量合并过程5PJ 5PJ′→5S 5DJ″的截面.两台激光器同时分别激发5P1/2和5P3/2态,通过对5DJ″→5PJ的荧光探测,得到5P3/2 5P1/2碰撞转移到5D5/2和5D3/2的截面分别为(1.12±0.50)×10-14和(1.01±0.45)×10-14cm2.     

Cs(8S)态的碰撞转移和高位原子态的激发

在Cs蒸气中,二步激发Cs原子至8S态,研究了其碰撞转移和高位原子态的产生过程.在1016～1017 cm-3密度范围内,测量了碰撞激发转移8S 6S→6D 6S的速率系数.由测得的荧光强度随密度的变化关系,得到k6D=(2.4±0.5)×10-10 cm3·s-1.同时研究了碰撞能量合并过程5D 5D→nL 6S(nL=9D,11S,7F),5D态是由8S→7P→5D的辐射跃迁产生的.由以前测量过的6P 5D 6S 7D的转移速率系数以及6P态的原子密度,结合荧光强度比得到碰撞能量合并过程的速率系数,对于9D,11S和7F各态,其平均值分别为(6.4±3.2)×10-10,(1.0±0.5)×10-10和(8.4±4.2)×10-10 cm3·s-1.     

Rb(5PJ)+Rb(5PJ)→Rb(5S)+Rb(nl=5D,7S)碰撞能量合并

研究了Rb(5PJ) Rb(5PJ)→Rb(nlJ') Rb(5S)碰撞能量合并过程,利用单模半导体激光器分别共振激发Rb原子的5P1/2或5P3/2态,利用另一与泵浦激光束反向平行的单模激光束作为吸收线探测激发态原子密度及其空间分布,吸收线分别调至5P1/2→5D3/2和5P3/2→7S1/2跃迁.由激发态原子密度和谱线荧光比得到碰撞能量合并过程的截面,对5P3/2激发,碰撞转移得到5D5/2,5D3/2和7S1/2的截面分别是(1.32士0.59)×10-14,(1.18士0.53)×10-14和(3.21士1.44)×10-15cm2;对5P1/2激发,碰撞转移到5D5/2和5D3/2的截面分别是(6.57士2.96)×10-15和(5.90士2.66)×10-15cm2.与其他的实验结果进行了比较.     

K(4P_J)-N_2,He碰撞转移及猝灭截面的测量

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)×10-15cm2和4P3/2→4P1/2的碰撞转移截面为(1.62±0.41)×10-15cm2,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)×10-15cm2和(0.60±0.18)×10-16cm2。     

Cs(6P)激发态的辐射及与N2碰撞的能量转移

应用激光吸收和荧光方法,测量了Cs(6P)态与N2碰撞的精细结构转移和碰撞猝灭截面。Cs原子被激光激发到6P3/2态,将与泵浦激光束反向平行的检测激光束调到6PJ→8S1/2的跃迁,测量了6PJ激发态的密度及空间分布,由此计算了6PJ→6S的有效辐射率。在T=337 K(蒸气压公式给出Cs密度N0=1.25×1012cm-3)和N2密度2×1016相似文献   

存在缓冲气体的Cs蒸气中的三体碰撞

本文研究了Cs(6P3/2) Cs(6P3/2) He→Cs(4FJ) Cs(6S1/2) He的碰撞能量转移过程.在温度为337～357 K,利用单模半导体激光器共振激发Cs原子至6P3/2态,利用另一与泵浦激光束反向平行激光束作为吸收线探测6P3/2态原子密度及其空间分布.缓冲气体增大了两个6P3/2原子间的能量转移,这可从测量由两个Cs(6P3/2)原子碰撞而被布居的4FJ态所发射的荧光得到证实.得到三体碰撞速率系数为(1.35±0.18)×10-27 cm6s-1,(2.22±0.21)×10-27 cm6s-1.     

Cs(6D_J)+(H_2,H_e)的反应与非反应碰撞能量转移

在样品池条件下,利用原子荧光光谱方法,测量了Cs(6DJ)与H2,He碰撞中的反应与非反应能量转移截面.利用脉冲激光886nm线双光子激发Cs(6S)到Cs(6D3/2)态,原子荧光中除含有6D3/2→6P的直接荧光外,还含有6D5/2→6P的转移荧光.利用三能级模型的速率方程分析,在不同的He和H2密度下,分别测垦直接荧光与转移荧光的时间积分荧光强度比,得到了6D3/2与H2和He碰撞的精细结构转移截面分别为σ=(55±13)×10-16和(16±4)×10-16 cm2,同时确定了6D5/2与H2和He的碰撞猝灭速率系数.6D5/2态与H2的碰撞猝灭速率系数比6D5/2与He的大,它是反应与非反应速率系数之和,利用实验数据确定非反应速率系数为6.3×10-10 cm3·s-1,得到6D5/2与H2的反应截面为(2.0±0.8)×10-16 cm2.利用不同H2(或He)密度下6D5/2→6P3/2时间积分荧光强度,得到6D3/2与H2反应截面为(4.0±1.6)×10-16 cm2,6D3/2与H2反应的活性大于6D5/2.     

Kinetic modeling of multiphase flow based on simplified Enskog equation

A new kinetic model for multiphase flow was presented under the framework of the discrete Boltzmann method (DBM). Significantly different from the previous DBM, a bottom-up approach was adopted in this model. The effects of molecular size and repulsion potential were described by the Enskog collision model; the attraction potential was obtained through the mean-field approximation method. The molecular interactions, which result in the non-ideal equation of state and surface tension, were directly introduced as an external force term. Several typical benchmark problems, including Couette flow, two-phase coexistence curve, the Laplace law, phase separation, and the collision of two droplets, were simulated to verify the model. Especially, for two types of droplet collisions, the strengths of two non-equilibrium effects, {\overline{D}}_2^{*} and {\overline{D}}_3^{*} , defined through the second and third order non-conserved kinetic moments of (f-f^{eq}), are comparatively investigated, where f\left(f^{eq}\right)is the (equilibrium) distribution function. It is interesting to find that during the collision process, {\overline{D}}_2^{*} is always significantly larger than {\overline{D}}_3^{*}, {\overline{D}}_2^{*} can be used to identify the different stages of the collision process and to distinguish different types of collisions. The modeling method can be directly extended to a higher-order model for the case where the non-equilibrium effect is strong, and the linear constitutive law of viscous stress is no longer valid.     

Self-organized criticality in multi-pulse gamma-ray bursts

The variability in multi-pulse gamma-ray bursts(GRBs)may help to reveal the mechanism of underlying processes from the central engine.To investigate whether the self-organized criticality(SOC)phenomena exist in the prompt phase of GRBs,we statistically study the proper ties of GRBs with more than 3 pulses in each burst by fitting the distributions of several observed physical variables with a Markov Chain Monte Carlo approach,including the isotropic energy E_iso,the duration time T,and the peak count rate P of each pulse.Our sample consists of 454 pulses in 93 GRBs observed by the CGRO/BATSE satellite.The best-fitting values and uncertainties for these power-law indices of the differential frequency distributions are:α_E^d=1.54±0.09,α_T^d=1.82_-0.15^+0.14andα_P^d=2.09_-0.19^0.18,while the power-law indices in the cumulative frequency distributions are:α_E^c=1.44_-0.10^+0.08,α_T^c=1.75_-0.13^0.11andα_P^c=1.99_-0.19^+0.16.We find that these distributions are roughly consistent with the physical framework of a Fractal-Diffusive,Self^Organized Criticality(FD-SOC)system with the spatial dimension S=3 and the classical diffusionβ=1.Our results support that the jet responsible for the GRBs should be magnetically dominated and magnetic instabilities(e.g.,kink model,or tearing-model instability)lead the GRB emission region into the SOC state.     

Gluon number fluctuations and diffusive scaling effect

The diffusive scaling is studied based on pomeron loop equations in the fixed coupling case. At Y?YDS, the gluon number fluctuations become important, the geometric scaling is replaced by the diffusive scaling. In the diffusive scaling regime, the deep inelastic scattering (DIS) total scattering cross-section is a function of single variable ln?[1/(r2Qs2(X))]/DY. We show that the deep inelastic scattering experimental data lie on a single curve, which seems to indicate the existence of the diffusive scaling phenomenology in the deep inelastic scattering.     

Diverse magnetism in stable and metastable structures of CrTe

In this paper, we systematically investigated the structural and magnetic properties of CrTe by combining particle swarm optimization algorithm and first-principles calculations. By considering the electronic correlation effect, we predicted the ground-state structure of CrTe to be NiAs-type (space group P6₃/mmc) structure at ambient pressure, consistent with the experimental observation. Moreover, we found two extra meta-stable Cmcaand R\overline{3}m structures which have negative formation enthalpy and stable phonon dispersion at ambient pressure. The Cmcastructure is a layered antiferromagnetic metal. The cleaved energy of a single layer is 0.464 J/m² , indicating the possible synthesis of CrTe monolayer. The R\overline{3}m structure is a ferromagnetic half-metal. When external pressure is applied, the ground-state structure of CrTe transitions from P63/mmc structure to R\overline{3}m structure at a pressure of 34 GPa, then to R\overline{3}m structure at 42 GPa. We thought these results help to motivate experimental studies of the CrTe compounds in the application of spintronics.     

Evolution law of Wigner function in laser process

Based on the density operator’s o perator-sum representation r ecently obtained by Fan and Hu for a laser process (Opt. Commun., 2008, 281: 5571; Opt. Commun., 2009, 282: 932; Phys. Lett. B, 2008, 22: 2435), we derive the evolution law of Wigner operator, the law is concisely expressed in the normally ordered formΔ(α,α*,t)=Tπ:exp?[-2T(a?e-(κ-g)t-α*)-(ae-(k-g)t-α)] :, where g and κ are the cavity gain and the loss, respectively, and T≡ (κ-g )(κ+g-2ge^{-2(κ-g) t})^-1. When t=0,Δ(α,α,t)→1π : exp?[-2(a?-α*)-(a-α)] :, which is the initial Wigner operator. Using this formalism the evolution law of Wigner functions in laser process can be directly obtained.     

On the entangled fractional squeezing transformation

We propose an entangled fractional squeezing transformation (EFrST) generated by using two mutually conjugate entangled state representations with the following operator: e-iα(a1?a2?+a1a2)eiπa2?a2; this transformation sharply contrasts the complex fractional Fourier transformation produced by using e-iα(a1?a2?+a2?a2)eiπa2?a2 (see Front. Phys. DOI 10.1007/s11467-014-0445-x). The EFrST is obtained by converting the triangular functions in the integration kernel of the usual fractional Fourier transformation into hyperbolic functions, i.e., tanα → tanhα and sinα → sinhα. The fractional property of the EFrST can be well described by virtue of the properties of the entangled state representations.     

Relation between gravitational mass and baryonic mass for non-rotating and rapidly rotating neutron stars

With a selected sample of neutron star(NS)equations of state(EOSs)that are consistent with the current observations and have a range of maximum masses,we investigate the relations between NS gravitational mass Mg and baryonic mass and the relations between the maximum NS mass supported through uniform rotation(Mmax)and that of nonrotating NSs(Mtov).We find that for an EOS-independent quadratic,universal transformation formula(Mb=Mg+A×M^2/g),the best-fit A value is 0.080 for non-rotating NSs,0.064 for maximally rotating NSs,and 0.073 when NSs with arbitrary rotation are considered.The residual error of the transformation is?0.1M⊙ for non-spin or maximum-spin,but is as large as?0.2M⊙ for all spins.For different EOSs,we find that the parameter A for non-rotating NSs is proportional to R^-1/1.4(where R1.4 is NS radius for 1.4M⊙ in units of km).For a particular EOS,if one adopts the best-fit parameters for different spin periods,the residual error of the transformation is smaller,which is of the order of O.O1M⊙ for the quadratic form and less than O.O1M⊙ for the cubic form(Mb=Mg+A1×M^2/g+A2×M^3/g).We also find a very tight and general correlation between the normalized mass gain due to spin △m≡(Mmax-MTOV)MTOV and the spin period normalized to the Keplerian period P,i.e.,log10 △m=(-2.74±0.05)log10 P+log10(0.20±0.01),which is independent of EOS models.These empirical relations are helpful to study NS-NS mergers with a long-lived NS merger product using multi-messenger data.The application of our results to GW170817 is discussed.     

Spatial modulation of unitary impurity-induced resonances in superconducting CeCoIn5

Motivated by recent experimental progress in high-resolution scanning tunneling microscopy (STM) techniques, we investigate the local quasiparticle density of states around a unitary impurity in the heavy-fermion superconductor CeCoIn₅. Based on the T -matrix approach we obtain a sharp nearly zero-energy resonance state in the strong impurity potential scattering localized around the impurity and find qualitative differences in the spatial pattern of the tunneling conductance modulated by the nodal structure of the superconducting gap. These unique features may be used as a probe of the superconducting gap symmetry and, in combination with further STM measurements, may help to confirm the dx2−y2 pairing in CeCoIn₅ at ambient pressure.     

Conditions for ponderomotive resonances in the Kapitza–Dirac effect

By applying a nonperturbative quantum electrodynamic theory, we study ponderomotive resonances when an electron beam is scattered by a standing photon wave. Our study shows that the ponderomotive parameter u_p, the ponderomotive energy per laser-photon energy, for each of the two traveling laser modes possesses a minimum value ℏω/(mec2). Ponderomotive resonances occur only when the ratio of the laser photon energy to the electron rest-mass energy is a fraction, where the denominator is twice the square of a positive integer and the numerator is the total ponderomotive number, which is also a positive integer.     

Optimal phase sensitivity of atomic Ramsey interferometers with coherent spin states

We present a detailed analysis of phase sensitivity for a nonlinear Ramsey interferometer, which utilize effective mean-field interaction of a two-component Bose–Einstein condensate in phase accumulation. For large enough particle number N and small phase shift ?, analytical results of the Ramsey signal and the phase sensitivity are derived for a product coherent state |θ,0?. When collisional dephasing is absent, we confirm that the optimal sensitivity scales as 2/N^3/2 for polar angle of the initial state θ = π/4 or 3π/4. The best-sensitivity phase satisfies different transcendental equations, depending upon the initial state and the observable being measured after the phase accumulation. In the presence of the collisional dephasing, we show that the N^-3/2-scaling rule of the sensitivity maintains with spin operators J^x and J^y measurements. A slightly better sensitivity is attainable for optimal coherent state with θ = π/6 or 5π/6.