光学偶极阱中铷原子5S_(1/2)及5P_(3/2)态的AC Stark频移

基于二能级模型和多能级模型,分析计算了由强聚焦高斯光束形成的光学偶极阱中87Rb原子5S1/2态和5P3/2态的AC Stark频移。基于多能级模型,针对在852 nm高斯激光束强聚焦所形成的87Rb原子远失谐光学偶极阱中进行偏振梯度冷却的情形,计算了冷却循环跃迁(5S1/2F=2-5P3/2F′=3)的频移量,结果显示频移对molasses冷却过程产生了重要的影响。同时,计算了5S1/2|F=2,mF=±2〉态和5P3/2|F′=3,mF=±3〉态的AC Stark频移随光学偶极阱激光波长的变化情况,发现在红失谐情况下,对于87Rb原子5S1/2-5P3/2态跃迁不存在魔数波长。     

Measuring the quantum state of a large angular momentum

We demonstrate a general method to measure the quantum state of an angular momentum of arbitrary magnitude. The (2F+1)x(2F+1) density matrix is completely determined from a set of Stern-Gerlach measurements with (4F+1) different orientations of the quantization axis. We implement the protocol for laser cooled Cesium atoms in the 6S(1/2)(F = 4) hyperfine ground state and apply it to a variety of test states prepared by optical pumping and Larmor precession. A comparison of input and measured states shows typical reconstruction fidelities F >/~0.95.     

蓝移阱中单个铯原子基态磁不敏感态的相干操控

单个中性原子的超精细微波跃迁能级的相干性是基于中性原子量子计算、量子信息处理和量子模拟的基础.我们在实验上利用微波双光子拉曼过程实现了蓝移阱中铯原子基态超精细态|6S1/2,F=3,mF=-1〉和|6S1/2,F=4,mF=1〉间的相干操控,并研究了其相对能级频移随磁场的变化,获得了"魔术"磁场的大小为1.4(2)Gauss(1 Gauss=10-4 T).结果表明,利用魔术磁场可大幅改善超精细态|6S1/2,F=3,mF=-1?和|6S1/2,F=4,mF=1〉之间的相干性,测量到的相干时间可达1.0(1)s.     

Nonequilibrium dynamics and superfluid ring excitations in binary Bose-Einstein condensates

We revisit a classic study [D. S. Hall, Phys. Rev. Lett. 81, 1539 (1998)10.1103/PhysRevLett.81.1539] of interpenetrating Bose-Einstein condensates in the hyperfine states |F=1,m{f}=-1 identical with |1 and |F=2,m{f}=+1 identical with |2 of 87Rb and observe striking new nonequilibrium component separation dynamics in the form of oscillating ringlike structures. The process of component separation is not significantly damped, a finding that also contrasts sharply with earlier experimental work, allowing a clean first look at a collective excitation of a binary superfluid. We further demonstrate extraordinary quantitative agreement between theoretical and experimental results using a multicomponent mean-field model with key additional features: the inclusion of atomic losses and the careful characterization of trap potentials (at the level of a fraction of a percent).     

Decoherence of electromagnetically induced transparency in atomic vapor

We report characterization of electromagnetically induced transparency (EIT) resonances in the D1 line of (87)Rb under various experimental conditions. The dependence of the EIT linewidth on the power of the pump field was investigated at various temperatures for the ground states of the lambda system associated with different hyperfine levels of the atomic 5S(1/2) state as well as magnetic sublevels of the same hyperfine level. Strictly linear behavior was observed in all cases. A theoretical analysis of our results shows that dephasing in the ground state is the main source of decoherence, with population exchange playing a minor role.     

Noise sensitivity of an atomic velocity sensor

We use Bloch oscillations to accelerate coherently rubidium atoms. The variation of the velocity induced by this acceleration is an integer number times the recoil velocity due to the absorption of one photon. The measurement of the velocity variation is achieved using two velocity selective Raman -pulses: the first pulse transfers atoms from the hyperfine state 5S1/2, $" align="middle" border="0"> to 5S1/2, $" align="middle" border="0"> into a narrow velocity class. After the acceleration of this selected atomic slice, we apply the second Raman pulse to bring the resonant atoms back to the initial state 5S1/2, $" align="middle" border="0"> . The populations in (F=1 and F=2) are measured separately by using a one-dimensional time-of-flight technique. To plot the final velocity distribution we repeat this procedure by scanning the Raman beam frequency of the second pulse. This two -pulses system constitutes then a velocity sensor. Any noise in the relative phase shift of the Raman beams induces an error in the measured velocity. In this paper we present a theoretical and an experimental analysis of this velocity sensor, which take into account the phase fluctuations during the Raman pulses.     

量子光学中的非经典态

本文扼要地介绍了光子数态、热光场态、相干态、压缩态、相位态和中间态等。重点是介绍它们的物理性质。例如,指出相干态在谐振子座标表象中的表示就是带电谐振子在均匀电场中的基态波函数;它的时间演化波包的概率密度分布,形状不随时间变但中心位置随时间作周期振荡。文中对相干态和压缩态等提供了也许是一点新的看法：将相干态、压缩真空态、压缩相干态和相干压缩态等看作是一准玻色子的基态或相干态。而实现的手段可以是原来的幺正算符也可以是投影算符。这样的好处是：（１）对相干态和压缩态间的联系有更深的认识;（２）便于计算和进一步展开等等。文中还对各个态的压缩性、统计性等作了介绍,有的还用图表等演示了它们的非类经典特性。最后,文中还介绍了准概率分布函数、相空间技术以及它们的应用并给出了示例     

Echo spectroscopy and quantum stability of trapped atoms

We investigate the dephasing of ultra cold 85Rb atoms trapped in an optical dipole trap and prepared in a coherent superposition of their two hyperfine ground states by interaction with a microwave pulse. We demonstrate that the dephasing, measured as the Ramsey fringe contrast, can be reversed by stimulating a coherence echo with a pi pulse between the two pi / 2 pulses, in analogy to the photon echo. We also demonstrate that "echo spectroscopy" can be used to study the quantum dynamics in the trap even when more than 10(6) states are thermally populated and to study the crossover from quantum to classical dynamics.     

Microwave spectroscopy of cold rubidium atoms

The effect of microwave radiation on the resonance fluorescence of a cloud of cold ⁸⁵Rb atoms in a magnetooptical trap is studied. The radiation frequency was tuned near the hyperfine splitting frequency of rubidium atoms in the 5S ground state. The microwave field induced magnetic dipole transitions between the magnetic sublevels of the 5S (F=2) and 5S (F=3) states, resulting in a change in the fluorescence signal. The resonance fluorescence spectra were recorded by tuning the microwave radiation frequency. The observed spectra were found to be substantially dependent on the transition under study and the frequency of a repump laser used in the cooling scheme.     

Velocity selective optical pumping of Rb hyperfine lines induced by a train of femtosecond pulses

We present direct observation of the velocity-selective optical pumping of the Rb ground state hyperfine levels induced by 5S(1/2) --> 5P(1/2) femtosecond pulse-train excitation. A modified direct frequency comb spectroscopy based on the fixed frequency comb and a weak cw scanning probe laser was developed. The femtosecond pulse-train excitation of a Doppler-broadened Rb four-level atomic vapor is investigated theoretically in the context of the density matrix formalism and the results are compared with the experiment.     

用微波调制的半导体激光观测^8^7Rb超精细能级的相干共振

用微波调制的半导体激光泵浦８７Ｒｂ汽泡室原子，直接观察到其基态超精细能级间△ｍＦ＝０、±１和±２的能级相干共振信号，其中Ｏ－Ｏ（Ｆ＝２，ｍＦ＝０）能级相干共振信号可用作原子钟的参考标准．     

利用铷原子双光子跃迁产生420nm蓝光的实验研究

本实验通过饱和吸收方法获得了铷原子5S_(1/2)→5 P_(3/2)单光子跃迁光谱,并进一步研究了铷原子5S_(1/2)→5 P_(3/2)→5 D_(5/2)的双光子跃迁光谱。使用780nm的控制光和776nm的信号光反向共线作用到铷泡中,通过探测6 P_(3/2)→5S_(1/2)自发辐射产生的420nm蓝光信号得到铷原子5S_(1/2)→5 P_(3/2)→5 D_(5/2)双光子跃迁光谱,利用法布里-珀罗干涉仪测量了~(87)Rb和~(85)Rb的5 D_(5/2)激发态超精细能级,详细研究了铷泡温度和776nm信号光功率对~(87)Rb 5S_(1/2)(F=2)→5 D_(5/2)双光子跃迁光谱的影响。该研究工作为基于原子分子精密光谱测量提供了实验基础。     

Tracking interacting dark states through higher order absorption resonances

A three photon resonance arising due to coherent population trapped (CPT) states in multi-level systems, is experimentally shown to be a powerful spectral marker to detect interacting CPT states. In systems showing N type or double Λ type level configurations, these absorption resonances can be used to identify spectral positions of maximal interactions between competing CPT ground states. The contrast of the absorption resonance serves to identify even partially destructive interactions between the CPT states, eliminating the need for strong resonant changes of ground state coherence for identification. We demonstrate this effect in a room temperature, gaseous collection of ⁸⁷Rb. atoms. Three laser fields interact with a double Λ configuration in the Zeeman degenerate levels of the ground state 5S_1/2S_{1/2}, F = 1 and those of the excited states 5P_3/2P_{3/2}, F = 0,1, around the D2 line. The three-photon resonance is studied in the counter-propagating third field when the other two co-propagating fields satisfy the two-photon resonance condition necessary for creation of CPT states. We envisage that this absorption feature in the third field, can become a veritable tool to quantify degradation of CPT induced effects in engineered quantum states using multi-level systems.     

Calculation of the hyperfine structure constants in 85Rb and 133Cs

For heavy atoms or ions, such as, Rb and Cs et al., relativistic effect must be considered in the calculation. In this paper, the relativistic many-body perturbation theory is used to solve the Dirac equation. And the zeroth-order hyperfine constants are evaluated with Dirac-Fock wave function. The finite basis sets of dirac equation are constructed by B-splines. With the finite basis sets the core polarization and the correlation diagrams are calculated. The hyperfine structure constants of the 5S1/2 and 6S1/2 states of 85Rb as well as the 6S1/2 and 7S1/2 states of 133Cs are evaluated.     

超精细能级中85Rb激发态(｜52P1/2F>、｜52P3/2F>)原子与理想金属表面间范德瓦尔斯作用系数C3的估算

利用碱金属原子与理想金属表面间范德瓦尔斯(vdW)作用势和不可约张量方法,首次计算了85Rb激发态52P1/2 (F=2,3)及52P3/2 (F=1,2,3,4) 原子超精细结构的C3系数.数值分别对应为:4.0542 、4.0553 及4.3012 、4.3312 、4.3369 、4.3104 .为了说明其结果的准确性,还与其他作者的理论数据和相关实验数据进行了比较,结果表明本文所得到的85Rb激发态52P1/2 (F=2,3)及52P3/2(F=1,2,3,4)原子的C3数值是可靠的     

超精细能级中85Rb激发态(｜52P1/2F>、｜52P3/2F>)原子与理想金属表面间范德瓦尔斯作用系数C3的估算

利用碱金属原子与理想金属表面间范德瓦尔斯(vdW)作用势和不可约张量方法,首次计算了85Rb激发态52P1/2 (F=2,3)及52P3/2 (F=1,2,3,4) 原子超精细结构的C3系数.数值分别对应为:4.0542 、4.0553 及4.3012 、4.3312 、4.3369 、4.3104 .为了说明其结果的准确性,还与其他作者的理论数据和相关实验数据进行了比较,结果表明本文所得到的85Rb激发态52P1/2 (F=2,3)及52P3/2(F=1,2,3,4)原子的C3数值是可靠的     

基态原子与理想金属Au表面间的范德瓦尔斯作用

研究了基态碱金属原子与理想金属Au表面间的范德瓦尔斯(vdW)作用.通过分析电四极跃迁对vdW的贡献,构建了计算超精细能级碱金属原子与理想金属表面间vdW作用系数C3的理论模型.以85Rb、133Cs为例,计算了其基态原子超精细能级的C3系数.其中85Rb: 52S1/2 (F=2)及52S1/2 (F=3)对应的C3系数分别为:2.2409 及2.2425 ;133Cs: 62S1/2 (F=3)及62S1/2 (F=4)分别对应 2.4480 及2.4538 .研究还发现随着 的增大,C3增大,z (原子与金属表面之间的距离)不变时,原子与理想金属表面间vdW作用增强. 这一研究在实现原子囚禁及介质表面量子反射等方面具有重要意义     

基态原子与理想金属Au表面间的范德瓦尔斯作用

研究了基态碱金属原子与理想金属Au表面间的范德瓦尔斯(vdW)作用.通过分析电四极跃迁对vdW的贡献,构建了计算超精细能级碱金属原子与理想金属表面间vdW作用系数C3的理论模型.以85Rb、133Cs为例,计算了其基态原子超精细能级的C3系数.其中85Rb: 52S1/2 (F=2)及52S1/2 (F=3)对应的C3系数分别为:2.2409 及2.2425 ;133Cs: 62S1/2 (F=3)及62S1/2 (F=4)分别对应 2.4480 及2.4538 .研究还发现随着 的增大,C3增大,z (原子与金属表面之间的距离)不变时,原子与理想金属表面间vdW作用增强. 这一研究在实现原子囚禁及介质表面量子反射等方面具有重要意义     

任意两个相干态的叠加态的相位分布和Wigner函数

从相位分布和Wigner函数两个方面研究了任意两个相干态|β〉 and |mβeiδ〉的叠加态的量子统计性质.结果表明这种叠加态的非经典特性与β2,振幅系数m,相干态间的位相差δ以及叠加系数间的位相差都有关.当参量选择合适,这种叠加态存在着量子效应.计算了两个相干态等几率混合系综的相位分布和Wigner函数,经过与前者比较,结果表明由于相干项的存在,使得叠加态具有很好的量子力学行为.     

Atomic vapor cells for chip-scale atomic clocks with improved long-term frequency stability

A novel technique for microfabricating alkali atom vapor cells is described in which alkali atoms are evaporated into a micromachined cell cavity through a glass nozzle. A cell of interior volume 1 mm3, containing 87Rb and a buffer gas, was made in this way and integrated into an atomic clock based on coherent population trapping. A fractional frequency instability of 6 x 10(-12) at 1000 s of integration was measured. The long-term drift of the F=1, mF=0-->F=2, mF=0 hyperfine frequency of atoms in these cells is below 5 x 10(-11)/day.