Production of dual species Bose–Einstein condensates of ~(39)K and ~(87)Rb

We report the production of~(39) K and~(87) Rb Bose–Einstein condensates(BECs) in the lowest hyperfine states |F =1, m_F = 1 simultaneously. We collect atoms in bright/dark magneto-optical traps(MOTs) of~(39) K/~(87) Rb to overcome the light-assisted losses of~(39) K atoms. Gray molasses cooling on the D1 line of the~(39) K is used to effectively increase the phase density, which improves the loading efficiency of~(39) K into the quadrupole magnetic trap. Simultaneously, the normal molasses is employed for~(87) Rb. After the microwave evaporation cooling on~(87) Rb in the optically plugged magnetic trap,the atoms mixture is transferred to a crossed optical dipole trap, where the collisional properties of the two species in different combinations of the hyperfine states are studied. The dual species BECs of~(39) K and~(87) Rb are obtained by further evaporative cooling in an optical dipole trap at a magnetic field of 372.6 G with the background repulsive interspecies scattering length a_(KRb)= 34 a_0(a_0 is the Bohr radius) and the intraspecies scattering length a_K= 20.05 a_0.     

Achieving ultracold Bose-Fermi mixture of 87Rb and 40K with dual dark magnetic-optical-trap

We demonstrate that dual dark magnetic-optical-traps (MOTs) have great importance in the two-species ⁸⁷Rb and ⁴⁰K mixture compared with dual bright MOTs. The dark MOT has a little improvement in the trapping of single-species ⁸⁷Rb or ⁴⁰K gases compared with bright MOT. For the case of loading two-species ⁸⁷Rb and ⁴⁰K simultaneously, the improvement of ⁴⁰K in the dual dark MOTs is mainly from the reduction of light-assisted collision losses. The dual dark MOTs employ a pair of conical lenses to produce the hollow beam for repump laser with high efficiency. The number and density of ⁸⁷Rb and ⁴⁰K atoms after evaporative cooling in the hybrid magnetic trap with dark MOT loading are compared with those in bright MOT. The atoms with large number and high density make it easier to realize the quantum degenerate of Bose-Fermi mixture.     

Electromagnetically induced transparency in a Zeeman-sublevels Λ-system of cold ~(87)Rb atoms in free space

We report the experimental investigation of electromagnetically induced transparency(EIT) in a Zeeman-sublevelsΛ-type system of cold ~(87)Rb atoms in free space. We use the Zeeman substates of the hyperfine energy states 5~2S_(1/2), F = 2 and 5~2P_(3/2), F = 2 of ~(87)Rb D_2 line to form a Λ-type EIT scheme. The EIT signal is obtained by scanning the probe light over 1 MHz in 4 ms with an 80 MHz arbitrary waveform generator. More than 97% transparency and 100 k Hz EIT window are observed. This EIT scheme is suited for an application of pulsed coherent storage atom clock(Yan B, et al. 2009 Phys.Rev. A 79 063820).     

多模1064nm光纤激光器实现一维远失谐光晶格

采用1064 nm多模30 W连续光纤激光器, 搭建了一个周期为25 μm的一维远失谐光学晶格势场. 对铷原子进行磁光阱装载和偏振梯度冷却, 实现了铷冷原子团在光晶格中的装载. 借助于短程飞行时间法, 测量晶格中冷原子温度为20 μK, 为下一步实现量子信息存储实验奠定了基础.     

Laser frequency locking based on the normal and abnormal saturated absorption spectroscopy of ~(87)Rb

We present a practical method to avoid the mis-locking phenomenon in the saturated-absorption-spectrum laserfrequency-locking system and set up a simple theoretical model to explain the abnormal saturated absorption spectrum. The method uses the normal and abnormal saturated absorption spectra of the same transition 5~2S_(1/2), F = 2–5~2P_(3/2), F'= 3 saturated absorption of the ~(87)Rb D_2resonance line. After subtracting these two signals with the help of electronics, we can obtain a spectrum with a single peak to lock the laser. In our experiment, we use the normal and inverse signals of the transitions 5~2S_(1/2), F = 2–5~2P_(3/2), F'= 3 saturated absorption of the ~(87)Rb D_2 resonance line to lock a 780-nm distributed feedback(DFB) diode laser. This method improves the long-term locking performance and is suitable for other kinds of diode lasers.     

光学相位锁定激光在原子玻色-爱因斯坦凝聚中实现拉曼耦合

采用光学相位锁定环路技术将外腔反馈式半导体激光器锁定到与钛宝石激光器输出激光频率上. 锁定后两束激光的差频线宽从MHz降低到Hz量级, 同时两束激光的频率差可实现几百兆赫兹到7 GHz的精密调节. 锁定的两束激光作用在铷原子玻色-爱因斯坦凝聚的两个基态超精细态F=2, 1, 观测到在两个超精细态之间的拉曼跃迁. 该技术可用于超冷原子两个超精细态之间自旋轨道耦合.     

STUDY OF FARADAY ANOMALOUS DISPERSION SPECTRA OF THE HYPERFINE STRUCTURE OF Rb D2 LINES

Natural rubidium is a mixture of the two isotopes, ⁸⁵Rb and ⁸⁷Rb, the natural abundances of which are 72.2 and 27.8 percent, respectively. Taking into account their hyperfine structure, we have cal-culated the Faraday anomalous dispersion spectra (FADS)of Rb D₂ lines in different magnetic fields and observed them experimentally. The theoretical calculations are in good agreement with the experi-mental results. In this paper, we also discuss the results.     

High quality electromagnetically induced transparency spectroscopy of ~(87)Rb in a buffer gas cell with a magnetic field

We have studied the phenomenon of electromagnetically induced transparency(EIT) of ~(87)Rb vapor with a buffer gas in a magnetic field at room temperature. It is found that the spectral lines caused by the velocity selective optical pump effects get much weaker and wider when the sample cell is mixed with a 5-Torr N_2 gas while the EIT signal is kept almost unchanged. A weighted least-square fit is also developed to remove the Doppler broadening completely. This spectral method provides a way to measure the Zeeman splitting with high resolution, for example, the Λ-type EIT resonance splits into four peaks on the D_2 line of ~(87)Rb in the thermal 2-cm vapor cell with a magnetic field along the electric field of the linearly polarized coupling laser. The high-resolution spectrum can be used to lock the laser to a given frequency by tuning the magnetic field.     

EXPERIMENTAL STUDY OF AC ZEEMAN EFFECT IN 87Rb ATOMIC FREQUENCY STANDARD

We have proved experimentally that the frequency shift formula of AC Zeeman effect presented by us is correct. In a ⁸⁷Rb atomic frequency standard we add a new microwave field which causes the frequency shift of O-O transition frequency of ⁸⁷Rb atomic ground state. This frequency shift as a function of frequency and power of the added microwave field is measured. The experimental results agree with theory.     

Photoassociation spectra of ultracold ~(85)Rb_2 molecule in 0_u~+ long range state near the 5S_(1/2)+ 5P_(1/2) asymptote

We investigate the high resolution photoassociation spectra of ~(85)Rb_2 molecules in 0~+_u long range state below the(5S_(1/2)+ 5P_(1/2)) asymptote. The ~(85)Rb atomic samples are trapped in a dark magneto–optical trap(MOT) and prepared in the dark state. With the help of trap loss technique, we obtain considerable photoassociation spectroscopy with rovibrational resolution, some of which have never been observed before. The observed spectrum is fitted by a rigid rotation model, and the rotational constants of ultracold ~(85)Rb_2 molecule in long range 0~+_u are obtained for different vibrational states. By applying the Le Roy–Bernstein method, we assign the vibrational quantum numbers and derive C_3 coefficient, which is used to obtain the potential energy curve.     

自旋-轨道耦合作用下双组分量子气体中的动力学结构因子与求和规则

在自旋-轨道耦合作用下,双组分量子气体中密度涨落和自旋涨落的动力学结构因子满足不同形式的求和规则.特别是动力学结构因子的一阶矩一般不具有空间反演对称性.针对两个特定的模型——Raman耦合作用下的无相互作用费米气体与弱相互作用玻色气体,分别计算了在不同参数条件下密度涨落和自旋涨落的动力学结构因子,并讨论了实验上观测其一阶矩偏离空间反演对称所需达到的能谱分辨率.     

Triple-quantum MAS-NMR of quadrupolar nuclei

From two-dimensional multiquantum NMR spectra of quadrupolar nuclei, it is now possible to obtain much greater resolution than in a classical single-quantum magic-angle spinning or variable-angle spinning spectrum. We describe here a very simple pulse scheme which efficiently excites the desired multiquantum NMR coherence and a new acquisition procedure which yields to pure-absorption mode 2D spectra. Experimental spectra for ⁸⁷Rb in polycrystalline rubidium nitrate illustrate the method.     

采用高信噪比电磁诱导透明谱测定~(85)Rb原子5D_(5/2)态的超精细相互作用常数

基于~(85)Rb原子5S1/2-5P3/2-5D_(5/2)阶梯型能级系统(780 nm+776 nm),利用高信噪比的电磁诱导透明谱对~(85)Rb原子5D_(5/2)态超精细分裂进行测量.其中,频率校准是通过位相型电光调制器和共焦法布里-珀罗腔共同实现的.通过测量~(85)Rb原子5D′5/2态(F′=5),(F′′=4)及(F′′=3)之间的超精细分裂,我们确定了~(85)Rb原子5D_(5/2)态的磁偶极超精细相互作用常数(A=-(2.222±0.019)MHz)和电四极超精细相互作用常数(B=(2.664±0.130)MHz).     

Solid-state 87Rb NMR study in powdered RbMnCl3

Structural phase transition at 290 K and the implication on the intermediate phase above 290 K in powdered RbMnCl₃ are observed by using a solid-state ⁸⁷Rb NMR spectroscopy. Quadrupole coupling constants (e²qQ/h), the asymmetry parameters (η), and the relative peak intensities for two physically nonequivalent Rb sites, Rb(I) and Rb(II), are determined from nonlinear least-squares fits to the ⁸⁷Rb NMR powder patterns in the temperature range from 260 to 330 K. Quadrupole coupling constants and the asymmetry parameters are examined for the detection of the phase transition resulting in a significant structural change in the Rb(II) site. In addition, changes in the relative peak intensity between the Rb(I) and Rb(II) sites seem to suggest the existence of an anomalous intermediate phase, which is complemented by the differential scanning calorimetry and X-ray diffraction studies.     

Raman sideband cooling of rubidium atoms in optical lattice

We develop a simple and practical scheme to apply sideband cooling to a cloud of rubidium atoms. A sample containing 4 × 10~(70) ~(87)Rb is trapped in a far red detuned optical lattice. Through optimizing the relevant parameters, i.e., laser detuning, magnetic field, polarization, and duration time, a temperature around 1.5 μK and phase space density close to 1/500 are achieved. Compared with polarization gradient cooling, the temperature decreases by around one order of magnitude. This technique could be used in high precision measurement such as atomic clocks and atom interferometer. It could also serve as a precooling means before evaporation cooling in a dipole trap, and may be a promising method of achieving quantum degeneracy with purely optical means.     

High contrast atomic magnetometer based on coherent population trapping

We present an experimental and theoretical investigation of the coherent population trapping （CPT） resonance excited on the D1 line of 87Rb atoms by bichromatic linearly polarized laser light. The experimental results show that a lin｜｜lin tran- sition scheme is a promising alternative to the conventional circular-circular transition scheme for an atomic magnetometer. Compared with the circular light transition scheme, linear light accounts for high-contrast transmission resonances, which makes this excitation scheme promising for high-sensitivity magnetometers. We also use linear light and circular light to detect changes of a standard magnetic field, separately.     

锶原子光晶格钟自旋极化谱线的探测

87Sr原子存在核自旋,在磁场作用下原子能级会分裂成不同塞曼子能级.通过光抽运对原子进行自旋极化,其自旋极化谱线的探测为锶光钟系统的闭环锁定提供精确的频率参考.本文对~(87)Sr原子钟跃迁能级5s~2~1S_0→5s5p~3P_0中的m_F=+9/2和m_F=-9/2的塞曼磁子能级自旋极化谱线进行了探测.经过一级宽带冷却和二级窄线宽冷却与俘获后,锶冷原子温度为3.9μK,原子数目为3.5×10~6.利用邻近"魔术波长"的813.426 nm半导体激光光源实现水平方向的一维光晶格装载.采用归一化探测方法用线宽为Hz量级的698 nm钟激光对~1S_0→~3P_0偶极禁戒跃迁进行探测,在150 ms的探测时间下获得线宽为6.7 Hz的钟跃迁简并谱.在磁光阱竖直方向施加一个300 mGs的偏置磁场获得塞曼分裂谱,并通过689 nm的圆偏振自旋极化光进行光抽运,最终在探测时间为150 ms时,获得左右旋极化谱线线宽分别为6.2 Hz和6.8 Hz.     

Sub-Doppler spectroscopy by sub-micron thin Cs vapour layer

A unique extremely thin cell (ETC) with the thickness of Cs atomic vapour layer in the range of 150–300 nm has been developed for the first time. All six hyperfine transitions of D₂ line (852 nm) of Cs, i.e. 6S_1/2(F=3)→6P_3/2(F=2–4) and 6S_1/2(F=4)→6P_3/2(F=3–5) are very well resolved in the transmission and fluorescence spectra, whereas in a cell of usual length they are not resolved due to Doppler broadening. It is demonstrated that a robust and widely used simple laser-diode technique is enough to observe separately atomic hyperfine transitions at the intensity up to 100 mW/cm² thanks to the ETC usage. We report also the first results obtained with the new ETC of 300 nm thickness filled with natural Rb. The usage of ETC allowed us to completely resolve each particular hyperfine transition of both ⁸⁵Rb and ⁸⁷Rb isotopes in D₁ line fluorescence spectrum.     

磁阱中超冷玻色气体临界行为的观测

超冷玻色气体为研究量子临界现象提供了一个非常干净的实验系统. 弱相互作用下的三维玻色气体的临界行为与⁴He发生超流相变时的临界行为类似, 都属于三维XY型普适类. 从正常流体到超流的量子相变过程中, 系统会经历一个从无序相到长程有序相的转变; 而在相变点附近, 系统参量会表现出一些奇点的特征. 本文从实验上观测到了静磁阱中超冷⁸⁷Rb玻色气体在凝聚体相变温度T_c附近的临界行为. 原子气体从静磁阱中释放, 经过30 ms的自由飞行后, 通过吸收成像得到原子气体的动量分布; 然后从中扣除热原子气体的动量分布, 提取出空间上处于临界区域内的原子气体动量分布, 并对不同温度下的动量分布半高宽进行统计. 统计结果显示: 在非常接近相变温度T_c时, 动量分布的半高宽突然减小, 表现出十分明显的奇点行为.     

Analytical solutions for a doubly driven two-level atom

We have deduced analytical solutions of an energy level diagram of the doubly driven/dressed atom for a two-level atom exposed to a strong near-resonant bichromatic laser field in a special case, i.e., the bichromatic field with frequencies ω1 and ω2, and Rabi frequencies ?1 and ?2, in which the first coupling field of ?1 acts on the bare atomic levels, and then the resulting singly dressed states are driven by the second coupling field of ?2, thus resulting in the doubly dressed atom.We have measured the probe absorption spectra of a doubly driven two-level atom. The system consists of 52S1/2, F= 2 and 5~2P_(3/2), F'= 3 states of ~(87)Rb atoms in a magneto-optical trap(MOT) as well as the cooling/trapping beams and an additional coupling field. As for the spectroscopic properties of the doubly driven two-level atom, theoretical analytical solutions are in general agreement with the experimental spectrum as a whole.