山西大学成功实现费米气体量子简并

山西大学量子光学与光量子器件国家重点实验室长期以来开展冷原子方面的实验研究,已建立了腔QED、冷原子的EIT、冷原子光缔合产生冷分子、玻色费米混合气体冷却等实验平台。该实验室张靖教授带领的研究小组继7月7日成功实现了铷原子的玻色-爱因斯坦凝聚(BEC)之后,8月30日又成功     

超冷铷铯极性分子振转光谱的实验研究

利用激光冷却俘获技术在双暗磁光阱中获得高密度的超冷铷原子和铯原子,通过光缔合方法制备超冷铷铯极性分子.采用共振增强双光子电离技术探测基三重态a³∑⁺的铷铯分子,产率约为10⁴/s.通过改变缔合光频率,获得（2）0⁺,（3）0^-,（2）0^-等分子态的高分辨振转光谱,拟合得到相应的转动常数分别为0.00349 cm^-1,0.00649 cm^-1,0.00372 cm^-1.     

山西大学成功实现铷原子的玻色-爱因斯坦凝聚

山西大学量子光学与光量子器件国家重点实验室张靖教授研究小组于7月7日成功实现了铷原子的玻色-爱因斯坦凝聚(BEC).实验结果显示,冷原子云在温度降低到约为500nK时开始发生相变,经过进一步蒸发冷却,最终得到了约为6×104个原子的纯净BEC.目前该小组正将铷原子和费米原子钾40同时装入磁阱中,蒸发冷却铷原子来协同冷却钾原子,最终同时实现玻色气体玻色-爱因斯坦凝聚和费米气体量子简并.     

铷原子频标磁致频移相关问题研究

长期稳定度是评价铷原子频标性能的一项关键指标．物理系统内部静磁场（C场）稳定性引起的磁致频移与铷频标长期稳定度有关．利用⁸⁷Rb原子基态磁敏跃迁频率与轴向外加磁场的线性关系,测量了铷频标物理系统内部磁场强度,并计算了铷频标物理系统磁屏蔽筒轴向磁屏蔽因子约为3 828．实验结果表明磁屏蔽筒有效地降低了地磁场日波动对铷频标物理系统内部C场的影响,使磁致频移控制在合理范围内．     

偶极玻色-爱因斯坦凝聚体在类方势阱中的Bénard-von Kármán涡街

对偶极玻色-爱因斯坦凝聚体（Bose-Einstein condensate,BEC）在类方势阱中的Bénard-von Kármán涡街现象进行了数值研究.结果表明,当障碍势在BEC中的运动速度与尺寸在适当范围内时,系统中会出现稳定的两列涡旋对阵列,即Bénard-von Kármán涡街.研究了偶极相互作用强弱、障碍势尺寸以及运动速度对尾流中产生的涡旋结构的影响,得到了相图结构.对障碍势所受拖拽力进行计算,分析了涡旋对产生的力学机理.     

双组分玻色-爱因斯坦凝聚体的混溶性

基于包含Lee-Huang-Yang修正的物态方程,研究了具有排斥相互作用的双组分玻色-爱因斯坦凝聚体在平均场弱失稳区间的基态相图.根据相平衡条件,确定了等质量混合体系中不混溶态、部分混溶态以及均匀混溶态之间的相边界.在原子密度足够稀薄的情形下,给出了相边界和量子临界点的解析表达式.讨论了密度响应的静态极化率在量子临界点附近的发散行为.对于不等质量的双组分凝聚体,利用低浓度展开的物态方程,得到了部分混溶态出现的阈值密度,并提出了判断部分混溶构型的解析方法,为钠、钾、铷等冷原子混合体系的实验观测提供了明确的理论指引.     

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。     

玻色-爱因斯坦凝聚特性及其应用

本文介绍了北京大学建立的玻色-爱因斯坦凝聚实验平台，实现了玻色-爱因斯坦凝聚（图1），获得了原子数为五十万个，温度为50纳开尔文的玻色凝聚体。在此基础上我们精密测量了玻色-爱因斯坦凝聚的相变温度，还利用玻色-爱因斯坦凝聚实验平台通过马越让那跃迁获得了可控的多量子态玻色爱因斯坦凝聚体。并利用四种方法获得了原子激光（图2），其中有三种方法是国际上第一次使用。另外，我们提出了将玻色一爱因斯坦凝聚转入Magic光晶格阱，实现精度优于10^-17的新型原子钟的设想。     

重自共轭原子核中α凝聚体物理性质的理论研究（英文）

原子核多体系统中可以存在一类被称为α凝聚体的奇异物理态。该奇异态可以被视为玻色-爱因斯坦凝聚在原子核物理中的推广。一般认为,α凝聚体不仅可以存在于~(12)C中,也可以存在于诸如~(16)O,~(20)Ne,~(24)Mg,~(28)Si等质量更重的自共轭原子核中。重自共轭原子核中的α凝聚体的物理性质是核结构理论重要的研究课题,相关理论计算可以为实验研究提供有益参考。主要介绍了该研究方向的基本理论框架,包括Tohsaki-Horiuchi-Schuck-Rpke波函数方法、Yamada-Schuck模型,以及近期提出的半解析近似方法。还讨论了α粒子间四体相互作用对α凝聚体物理性质的影响,并对α凝聚体破裂和一维α凝聚体等可能的研究方向做了简要论述。     

光晶格中玻色-爱因斯坦凝聚体的自旋和磁研究

近年应用光晶格（optical lattice)控制原子玻色－爱因斯坦凝聚体（BEC）的研究取得了突破性的进展。德国Munich研究小组首次在三维光晶格中观察到了超冷原子从BEC超流状态向Mott insulator状态的量子相变。这样的量子相变现象不仅具有重大的理论研究价值，而且为BEC的实际应用提供了新的途径。文章介绍了作者近来在光晶格中BEC的自旋和磁特性方面的一些研究进展，并探讨了它们在磁传感器及量子计算中的可能应用。     

玻色-爱因斯坦凝聚体中的超流现象

在玻色－爱因斯坦凝聚（BEC）的超流现象的研究中，人们通常采用平均场近似下求解Gross-Pitaveskii方程的方法，我们采用更严格的准确对角化的方法对弱排斥相互作用下两维旋转N－Boson体系的凝聚状态进行了研究，研究表明，弱相互作用下的基态并不是人们通常认为的单一凝聚态，而是一个碎裂凝聚态，通过碎裂态能谱与平均场方法给出的能谱之间的比较以及条件几率分布函数的计算，我们指出这种碎裂凝聚态有着内在的不稳定性，很容易破缺到一个单一凝聚状态；计算给出的条件几率分布可以用来揭示破缺石的状态，其分布图案与平均场近似下得到的涡旋图形相类似，我们进一步注意到过去研究工作主要集中在弱相互作用极限下和强相互作用Thomas-Fermi近似极限下这两种极端情况，为考察两种极限间的中间过渡区域，我们研究了中等相互作用强度下体系的基态性质。     

Photon condensation: A new paradigm for Bose–Einstein condensation

Bose–Einstein condensation is a state of matter known to be responsible for peculiar properties exhibited by superfluid Helium-4 and superconductors. Bose–Einstein condensate (BEC) in its pure form is realizable with alkali atoms under ultra-cold temperatures. In this paper, we review the experimental scheme that demonstrates the atomic Bose–Einstein condensate. We also elaborate on the theoretical framework for atomic Bose–Einstein condensation, which includes statistical mechanics and the Gross–Pitaevskii equation. As an extension, we discuss Bose–Einstein condensation of photons realized in a fluorescent dye filled optical microcavity. We analyze this phenomenon based on the generalized Planck’s law in statistical mechanics. Further, a comparison is made between photon condensate and laser. We describe how photon condensate may be a possible alternative for lasers since it does not require an energy consuming population inversion process.     

On the thermodynamics of degenerate Bose gas with delta-shaped interaction potential

Within the self-consistent Hartree–Fock approximation, the equilibrium weakly nonideal Bose gas with a delta-shaped interaction potential in the presence of the Bose–Einstein condensate is considered without using quasi-averages. On this basis, using the virial theorem and diagram techniques of the perturbation theory for the equilibrium system in a macroscopic volume, the equation of state providing the isothermal compressibility finiteness, including the Bose–Einstein condensate domain of existence, is obtained.     

Interacting bosons in an optical lattice

A strongly interacting Bose gas in an optical lattice is studied using a hard‐core interaction. Two different approaches are introduced, one is based on a spin‐1/2 Fermi gas with attractive interaction, the other one on a functional integral with an additional constraint (slave‐boson approach). The relation between fermions and hard‐core bosons is briefly discussed for the case of a one‐dimensional Bose gas. For a three‐dimensional gas we identify the order parameter of the Bose‐Einstein condensate through a Hubbard‐Stratonovich transformation and treat the corresponding theories within a mean‐field approximation and with Gaussian fluctuations. This allows us to evaluate the phase diagram, including the Bose‐Einstein condensate and the Mott insulator, the density‐density correlation function, the static structure factor, and the quasiparticle excitation spectrum. The role of quantum and thermal fluctuations are studied in detail for both approaches, where we find good agreement with the Gross‐Pitaevskii equation and with the Bogoliubov approach in the dilute regime. In the dense regime, which is characterized by the phase transition between the Bose‐Einstein condensate and the Mott insulator, we discuss a renormalized Gross‐Pitaevskii equation. This equation can describe the macroscopic wave function of the Bose‐Einstein condensate in the dilute regime as well as close to the transition to the Mott insulator. Finally, we compare the results of the attractive spin‐1/2 Fermi gas and those of the slave‐boson approach and find good agreement for all physical quantities.     

Experimental study of coupling Bose–Einstein condensates into weakly non-trapping and trapping states

We study the production of an atom laser from a Bose–Einstein condensate using radio-frequency out-coupling. Single frequency coupling from the Bose–Einstein condensate leads to unstable production of an atom laser due to the extreme sensitivity of this process to magnetic field fluctuations. The extent of this experimental instability is quantified. Stable, repeatable production of an atom laser is achieved by the frequency modulation of the coupling, which forms a frequency comb across the condensate. Different regimes of modulated coupling are discussed. In addition the coupling of atoms into a weakly trapping state is studied. The oscillation frequency of this state in the vertical direction is measured. Preliminary results indicating qualitative difference between condensate and thermal cloud coupling are presented.     

Features of dynamics of stimulated atomic-molecular Raman conversion in a Bose-Einstein condensate

A set of nonlinear evolution equations describing the dynamics of atoms, molecules, and photons in the course of stimulated atomic—molecular conversion in a Bose—Einstein condensate is derived and studied in the mean-field approximation. It is shown that conversion can be periodic or aperiodic in time, the rate of the process being determined to a considerable extent by the initial density of particles and by the initial phase difference. Depending on the initial conditions, various conversion modes can be realized. The possibility of stabilization of a special state (of rest) of the system for nonzero initial number densities of particles is predicted. It is pointed out that coherence of a Bose condensate of atoms, molecules, and photons predetermines the possibility of phase control of the conversion process.     

Application of potential harmonic expansion method to BEC: Thermodynamic properties of trapped23Na atoms

We adopt the potential harmonics expansion method for anab initio solution of the many-body system in a Bose condensate containing interacting bosons. Unlike commonly adopted mean-field theories, our method is capable of handling two-body correlation properly. We disregard three- and higher-body correlations. This simplification is ideally suited to dilute Bose Einstein condensates, whose number density is required to be so small that the interparticle separation is much larger than the range of two-body interaction to avoid three- and higher-body collisions, leading to the formation of molecules and consequent instability of the condensate. In our method we can incorporate realistic finite range interactions. We calculate energies of low-lying states of a condensate containing²³Na atoms and some thermodynamical properties of the condensate.     

玻色子多体系统的平均场理论:玻色-爱因斯坦凝聚体(BEC)的冷却与激发

用量子主方程的平均场近似和代数动力学研究玻色-爱因斯坦凝聚体的sympathetic cooling; 用玻色-爱因斯坦凝聚体波函数的运动方程的平均场近似 非线性薛定谔方程研究玻色 爱因斯坦凝聚体的暗孤子和明孤子激发.     

Features of the Interaction of a Magnon Bose—Einstein Condensate with Acoustic Modes in Yttrium Iron Garnet Films

JETP Letters - The interaction of a magnon Bose—Einstein condensate (mBEC) in a perpendicularly magnetized yttrium iron garnet film with high-order acoustic modes appearing at the sizes of an...     

Coherent manipulation and guiding of Bose–Einstein condensates by optical dipole potentials

The coherent manipulation of Bose–Einstein condensates by far blue detuned optical dipole potentials is discussed in two regimes. The local manipulation of the phase of the condensate wavefunction by temporally applied dipole potentials represents a powerful tool for the design of matter waves. We use this method in particular for the creation of dark solitons in Bose–Einstein condensates and study their dynamics. Spatially inhomogeneous dipole potentials like far blue detuned doughnut laser beams can be used for the creation of Bose–Einstein condensates within a waveguide structure.