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.     

旋量玻色-爱因斯坦凝聚体拓扑性质的研究进展

实现玻色-爱因斯坦凝聚的原子大多具备内部自旋自由度,在光势阱下原子内部自旋被解冻,从而使原子可以凝聚到各个超精细量子态上,形成旋量玻色-爱因斯坦凝聚体.灵活的自旋自由度成为体系相关的动力学变量,可以使体系出现新奇的拓扑量子态,如自旋畴壁、涡旋、磁单极子、斯格明子等.本文综述了旋量玻色-爱因斯坦凝聚的实验和理论研究,旋量玻色-爱因斯坦凝聚体中拓扑缺陷的种类,以及两分量、三分量玻色-爱因斯坦凝聚体中拓扑缺陷的研究进展.     

超冷费米原子气体的超流动性

最近美国MIT的Ketterle W教授和他的同事们对超冷费米原子气体具有超流动性作出了实验论证，他们观察到在锂-6原子气体形成玻色-爱因斯坦凝结时会出现涡流运动，涡流呈现出持久的无摩擦的流动特性．Ketterle研究组用激光束将冷冻的原子固定在各自的位置上，然后再分离出若干激光光束来激发出涡流．通常玻色原子与费米原子在低温下的量子行为是很不相同的．     

从费米原子到配对超冷分子

自从1995年以来，实验物理学家已经在一系列玻色原子气系统中实现了玻色—爱因斯坦凝聚(BEC)，它们是^1H，^7Li，^23Na，^85Rb和^87Rb等等，这些玻色原子具有整数自旋量子数，与玻色原子相对应的是费米原子，它们具有半整数的自旋值，例如^40K。即使在非常接近绝对零度的低温下，费米原子气也不可能凝聚到单一量子态：每一个费米原子所     

从气体吸附率看范德瓦耳斯气体模型的局限性

利用占据数方法和正则系综理论分别求出了费米气体、玻色气体和范德瓦耳斯气体的化学势,比较了这三种气体与理想气体吸附率的差异.指出:费米气体的吸附率高于理想气体,玻色气体则低于理想气体.存在一个临界温度,高于此温度,用范德瓦耳斯气体描述费米气体不如理想气体模型;低于此温度,用范德瓦耳斯气体描述玻色气体不如理想气体模型.     

一维谐振子势阱中的理想量子气体

本文利用微正则系综研究了囚禁于一维谐振子势阱中的无相互作用的玻色气体和费米气体的热力学性质,并指出一维谐振子势阱中理想玻色气体和费米气体的热力学性质是相同的。     

超流费米气体相滑移时的密度分布

当前在冷原子和玻色爱因斯坦凝聚(BEC)领域的一个重要问题是在Feshbach共振附近的冷费米气体如何从BEC态演变到BCS(Bardeen Schrieffer Cooper)态.本文进一步研究在Feshbach共振附近超流态的相滑移现象.通过具体的数值计算，给出了费米气体在相滑移时的粒子数密度的分布，并对不同温度下的相滑移的大小进行了分析.结果表明，相滑移现象可以作为实验上判断系统是否处于超流态的一个可行的判据. 关键词： 超流费米气体 相滑移 Feshbach共振     

光晶格中超冷原子系统的磁激发

囚禁在光学晶格中的旋量凝聚体由于其长的相干性和可调控性,使其成为时下热点的多比特量子计算的潜在候选载体,清楚地了解该体系的自旋和磁性的产生和调控就显得尤为重要.本文主要从理论上回顾了光晶格原子自旋链的磁性的由来和操控手段.从激光冷却原子出发,制备旋量玻色-爱因斯坦凝聚体,并装载进光晶格,最后实现原子自旋链,对整个过程的理论研究进行了综述;就如何产生和操控自旋激发进行了详细探讨,其中包括磁孤子的制备;讨论了如何将原子自旋链应用于量子模拟.对光学晶格中的磁激发研究将会对其在冷原子物理、凝聚态物理、量子信息等各方向的应用起指导性作用.     

用遗传算法研究一维光晶格中玻色凝聚气体基态波函数

以Gross-Pitaevskii（G-P）平均场能量泛函为目标函数,运用遗传算法研究一维光晶格系统中玻色凝聚气体的基态性质,提出了求解系统波函数的一种新方法.通过优化计算,对当前常用的托马斯-费米近似和高斯近似模型进行修正和讨论,并给出最优基态波函数. 关键词： 玻色凝聚气体 遗传算法 波函数     

玻色-费米气体量子简并光学偶极阱的设计

实现了将预冷却(温度约为1～2μK)的87 Rb和40 K原子装载到远红失谐的光学偶极力阱中,继而利用逐步降低光强的方法对其进行蒸发冷却,获得了87 Rb原子的玻色-爱因斯坦凝聚(BEC),并用协同冷却的方法得到了40 K原子的量子简并(DFG)。实验上通过光纤传输远红失谐激光束降低了光束指向性的抖动,又利用光强反馈伺服系统抑制远红失谐激光的强度抖动,提高了获得玻色-爱因斯坦凝聚和简并费米气体的重复性和稳定性。实验上得到玻色-爱因斯坦凝聚的原子数达8.48×105个,简并费米气体的原子数量约为3.34×106个。     

玻色-爱因斯坦凝聚领域Feshbach共振现象研究进展

Feshbach共振现象是当前玻色一爱因斯坦凝聚领域中的一个研究热点．目前在大多数低温碱金属原子气体里都已观测到Feshbach共振现象．在实验里利用Feshbach共振可以任意改变这些系统中原子之间的相互作用强度，从强相互排斥作用到强相互吸引作用都可以实现．文章详细介绍Feshbach共振现象以及目前它在原子气体系统里的最重要的两个应用，研究费米子气体里的超流态和有强相互作用的玻色子气体．     

Soliton trains in Bose-Fermi mixtures

We theoretically consider the formation of bright solitons in a mixture of Bose and Fermi degenerate gases. While we assume the forces between atoms in a pure Bose component to be effectively repulsive, their character can be changed from repulsive to attractive in the presence of fermions provided the Bose and Fermi gases attract each other strongly enough. In such a regime the Bose component becomes a gas of effectively attractive atoms. Hence, generating bright solitons in the bosonic gas is possible. Indeed, after a sudden increase of the strength of attraction between bosons and fermions (realized by using a Feshbach resonance technique or by firm radial squeezing of both samples) soliton trains appear in the Bose-Fermi mixture.     

Mixtures of Bose gases under rotation

We examine the rotational properties of a mixture of two Bose gases. Considering the limit of weak interactions between the atoms, we investigate the behavior of the system under a fixed angular momentum. We demonstrate a number of exact results in this many-body system.     

Thermodynamic properties of a finite Bose gas in a harmonic trap

We have investigated the thermodynamic behaviour of ideal Bose gases with an arbitrary number of particles confined in a harmonic potential. By taking into account the conservation of total number $N$ of particles and using a saddle-point approximation, we derive analytically the simple explicit expression of mean occupation number in any state of the finite system. The temperature dependence of the chemical potential, specific heat, and condensate fraction for the trapped finite-size Bose system is obtained numerically. We compare our results with the usual treatment which is based on the grand canonical ensemble. It is shown that there exists a considerable difference between them at sufficiently low temperatures, specially for the relative small numbers of Bose atoms. The finite-size scaling at the transition temperature for the harmonically trapped systems is also discussed. We find that the scaled condensate fractions for various system sizes and temperatures collapse onto a single scaled form.     

Yang—Yang thermodynamics of one-dimensional Bose gases with anisotropic transversal confinement

By combining the thermodynamic Bethe ansatz and local density approximation, we investigate the Yang—Yang thermodynamics of interacting one-dimensional Bose gases with anisotropic transversal confinement. It is shown that with the increase of anisotropic parameter at low temperature, the Bose atoms are distributed over a wider region, while at high temperature the density distribution is not affected obviously. Both the temperature and transversal confinement can strengthen the local pressure of the Bose gases.     

Atomic four-wave mixing: fermions versus bosons

We compare four-wave mixing in quantum degenerate gases of bosonic and fermionic atoms. We find that matter-wave gratings formed from either bosonic or fermionic atoms can in principle exhibit nearly identical Bragg scattering and four-wave mixing properties. This implies that effects such as coherent matter-wave amplification and superradiance can occur in degenerate Fermi gases. This effect is due to constructive many-particle quantum interferences, which in the boson case are interpreted as "Bose enhancement."     

Collapse mechanism of the condensate wavefunction in the Bose-Fermi mixture with attraction between the components

The ground state of the mixture of degenerate Bose and Fermi atoms in a trap has been analyzed on the basis of the effective Hamiltonian. The two types of the solutions of the modified Gross-Pitaevskii equation that correspond to the stationary and unstable states of the Bose gas have been found numerically. The chemical potential and energy are found as functions of the number of bosons for these two types of the solutions. The manyvalued character of these functions has been analyzed and the critical number of bosons at which the system collapse occurs has been determined.     

Shortcut to a Fermi-degenerate gas of molecules via cooperative association

We theoretically examine the creation of a Fermi-degenerate gas of molecules by considering a photoassociation or Feshbach resonance applied to a degenerate Bose-Fermi mixture of atoms. This problem raises interest because, unlike bosons, fermions in general do not behave cooperatively, so that the collective conversion of a degenerate gas atoms into a macroscopic number of diatomic molecules is not to be expected. Nevertheless, we find that the coupled Fermi system displays collective Rabi-like oscillations and a rapid adiabatic passage between atoms and molecules, thereby mimicking Bose-Einstein statistics. Cooperative association of a degenerate mixture of Bose and Fermi gases could therefore serve as a shortcut to a degenerate gas of Fermi molecules.     

二维简谐势阱中旋转理想玻色气体热力学性质的修正

利用截断求和方法修正了二维简谐势阱中旋转理想玻色气体的热力学性质.对玻色-爱因斯坦凝聚(BEC)临界温度的修正表明:旋转框架下的BEC临界温度随旋转频率增大而快速趋近于零,到达势阱特征频率时,基态将会发生从BEC态到强关联非凝聚态的转变;由合成磁场引起的旋转对BEC临界温度的影响则要弱得多.对旋转导致的抗磁性的修正表明:磁化强度随旋转频率和合成磁场的增大而增强.利用截断求和方法计算的结果与考虑有限尺度效应的修正结果获得了很好的一致.     

Probing 1D super-strongly correlated dipolar quantum gases

One-dimensional (1D) dipolar quantum gases are characterized by a very special condition where super-strong correlations occur to significantly affect the static and dynamical low-energy behavior. This behavior is accurately described by the Luttinger Liquid theory with parameter K < 1. Dipolar Bose gases are routinely studied in laboratory with Chromium atoms. On the other hand, 1D realizations with molecular quantum gases can be at reach of current experimental expertises, allowing to explore such extreme quantum degenerate conditions which are the bottom line for designing technological devices. Aim of the present contribution is to focus on the possible probes expected to signal the reach of Luttinger-Liquid behavior in 1D dipolar gases.