玻色哈伯德模型的有限系统密度矩阵重整化群算法

运用有限系统密度矩阵重整化群算法(FS-DMRG)研究一维光格子中超冷玻色原子模型-Bose-Hubbard模型在绝对零度下发生超流(SF)—Mott绝缘(MI)相变的特征.通过计算粒子局域密度,单粒子能隙和压缩系数,分析体系分别处于两种状态下的特征,并利用相图曲线得到体系发生相变的临界值.运用该数值算法得到的结果比现有其他解析解更准确.     

一种新型光格子中孤子的控制(英文)

本文数值研究了一种纵向呈周期性指数调制的克尔非线性光格子中空间孤子的控制和导向.结果表明,这种光格子能提供更大范围的孤子控制,通过合理设计光格子的参数如光格子的深度、横向调制频率、纵向调制周期以及输入波束的参数可以实现孤子的控制.     

光晶格中超流费米气体的能隙孤子

研究了一维光晶格中超流费米气体的能隙孤子. 应用平均场理论和超流费米气体的流体动力学模型, 利用变分法得到了在整个跨越区超流费米气体在光晶格中存在带隙孤子的条件, 即原子间的非线性相互作用项与系统化学势以及晶格深度的相互关系. 通过对超流费米气体的基态能隙孤子空间分布的分析与对比, 揭示了在一维情况下超流费米气体能隙孤子的存在并发现超流费米气体能隙孤子在整个跨越区当系统从Bose-Einstein凝聚端跨越到BCS端时孤子存在的条件与孤子空间分布存在明显的差别.     

费米气体在调制缺陷晶格中的超流特性

本文研究了费米气体在调制缺陷的一维环形光晶格中的超流特性．在流体动力学模型和两模近似下,整个系统的动力学性质可以等效为单摆模型的哈密顿量,从而得到系统发生超流相变的临界条件ρc ．系统在BEC-BCS整个渡越区中,临界原子数密度将使得系统存在缺陷导致阻尼的正常态之外的另一种状态,即平面波连续穿过缺陷的超流态．系统的超流特性依赖于缺陷的强度、类型以及原子间的相互作用,并且由于缺陷与原子间相互作用的耦合,系统在BCS端更容易维持超流态。     

具有振幅调制的光学格子中光束的演化研究

利用变分原理和数值模拟的方法研究了光束在光传输方向的横截面上存在着具有振幅调制的光学格子时的演化,得到了光束宽度、振幅、光束的波阵面曲率随传播距离的演化形式.通过将光束的传输类比于粒子的运动,发现光束参量的条件存在三个区域,在不同的区域光束将在光格子的调制下有不同的传输形式,光格子振幅调制系数在各个区域起到了重要作用.光学格子中周期格子的作用有类似非线性的很好的特性,周期格子的引入提供了更好地控制格子孤子形成和传输的参考条件.     

平面波导环形格子结构型光交错复用器的设计

在分析比较双折射晶体偏振光干涉型和平面波导环形格子结构型光交错复用滤波器原理的基础上,揭示了两者在光谱透射率的数学上的等效性,给出了两者结构参量之间的等效关系,可以直接利用经简单傅里叶级数对比法获得的晶体的结构参量对平面波导环形格子结构型光交错复用滤波器进行结构设计。利用该方法对一个两级平面波导环形格子结构型光交错复用滤波器进行了优化设计,信道隔离度比文献中结构提高了近5dB,而且结构参量有多种组合。与利用复杂的格子理论计算仅获得一组结构参量相比,该方法更加简单、有效。     

表面缺陷基态模孤子的性质及其临界行为

表面缺陷基态模孤子的性质在实现全光控制方面有重要的应用。基于非线性薛定谔方程,利用虚时间变换、非线性松弛法以及分步傅里叶算法等数值方法对具有半无限缺陷光格子的克尔型非线性介质中存在的基态模的特性进行了详细研究。研究结果表明:对于吸引型半无限缺陷光格子,表面缺陷基态模只能分布于缺陷处,而对于排斥型半无限缺陷光格子,表面缺陷基态模既可以分布于缺陷处,也可以分布于其他格子通道处;每个系统参数存在着一个临界值,当其他参数保持不变的情况下,这个系统参数的数值大于或小于其临界值时,表面缺陷基态模将能或不能分布于缺陷处。从物理机制方面看,光格子与光束诱导的非线性折射率之间的竞争导致了这种临界行为的出现。     

超流氦系统负压换热器研究进展

近年来我国大型低温制冷系统研制取得了较大的进展,对超流氦低温系统的研制提出了需求,而超流氦系统的高效运行离不开负压换热器。文中介绍了超流氦低温系统中负压换热器的研究进展、传热机理中存在的问题及其未来发展的方向,为负压换热器的设计以及以后的探索提供参考。     

超流~3He涡旋线中的新发现

超导体中磁通线及超流He中涡旋线的存在,早已为人们所熟知.它们的结构是简单的,都是在直径约为相干长度的正常态的芯子外面环以超流,具有轴对称性.磁通线的磁通量和涡旋线的环量都是量子化的,分别为一个磁通量子和环量量子,这是在超导体及超流4He中特有的宏观量子现象.1972年发现的液体3He的超流相,虽然是一种新型的超流相,但由于它的宏观量子性,人们自然地认为会有涡旋线存在,这已为后来的实验所证实. 近两年利用赫尔辛基低温实验室中能达到mK温度的旋转恒温器,芬兰和苏联的科学家发现了两个完全出乎人们意料的结果.这是在旋转的超流液体…     

超流氦相分离器临界速度计算方法与比较

超流氦在空间探测的极低温制冷系统中被广泛应用,在研究超流氦通过圆管或者狭缝时,需要分清超流氦在圆管或者狭缝中的流动状态,从而应用不同的模型来计算超流氦的制冷量。根据查阅已有的相关文献资料,列举分析不同的超流氦临界速度计算方法,然后进行比较。     

Superfluidity and phase transitions in a resonant Bose gas

The atomic Bose gas is studied across a Feshbach resonance, mapping out its phase diagram, and computing its thermodynamics and excitation spectra. It is shown that such a degenerate gas admits two distinct atomic and molecular superfluid phases, with the latter distinguished by the absence of atomic off-diagonal long-range order, gapped atomic excitations, and deconfined atomic π-vortices. The properties of the molecular superfluid are explored, and it is shown that across a Feshbach resonance it undergoes a quantum Ising transition to the atomic superfluid, where both atoms and molecules are condensed. In addition to its distinct thermodynamic signatures and deconfined half-vortices, in a trap a molecular superfluid should be identifiable by the absence of an atomic condensate peak and the presence of a molecular one.     

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     

Quark-antiquark scattering phase shift and meson spectral function in pion superfluid

We study the quark-antiquark scattering phase shift and meson spectral function in the pion superfluid described by the Nambu-Jona-Lasinio model. Meson mixing in the pion superfluid dramatically changes the full scattering phase shift and significantly broadens the spectral function of some collective modes.     

双光子过程耗散耦合腔阵列中的量子相变

基于准玻色方法, 利用平均场理论解析求解了环境作用下双光子过程耦合腔阵列体系的哈密顿量, 得到了体系序参量的解析表达式, 并讨论了耗散对体系超流-Mott绝缘相变的影响. 研究结果表明: 双光子共振情况下系统重铸相干的腔间耦合率临界值为(ZJ/β)= (ZJ/β)_c'≈ 0.34;双光子相互作用过程比单光子过程具有更大的耗散率, 系统维持长程相干状态的时间更短, 而实现重铸相干的腔间耦合率的临界值更大.     

Nodal Topological Phases in s-wave Superfluid of Ultracold Fermionic Gases

The gapless Weyl superfluid has been widely studied in the three-dimensional ultracold fermionic superfluid.In contrast to Weyl superfluid, there exists another kind of gapless superfluid with topologically protected nodal lines,which can be regarded as the superfluid counterpart of nodal line semimetal in the condensed matter physics, just as Weyl superfluid with Weyl semimetal. In this paper we study the ground states of the cold fermionic gases in cubic optical lattices with one-dimensional spin-orbit coupling and transverse Zeeman field and map out the topological phase diagram of the system. We demonstrate that in addition to a fully gapped topologically trivial phase, some different nodal line superfluid phases appear when the Zeeman field is adjusted. The presence of topologically stable nodal lines implies the dispersionless zero-energy flat band in a finite region of the surface Brillouin zone. Experimentally these nodal line superfluid states can be detected via the momentum-resolved radio-frequency spectroscopy. The nodal line topological superfluid provide fertile grounds for exploring exotic quantum matters in the context of ultracold atoms.     

Spin-orbit coupling adjusting topological superfluid of mass-imbalanced Fermi gas

Topological superfluid state is different from the normal superfluid one due to the excitation energy gap on the boundary. How to obtain the topological superfluid state by using spin-orbit coupling to control the s-waves paired mass-imbalanced Fermi gas is a recent novel topic. In this paper, we study the topological superfluid phase diagram of two-dimensional mass-imbalanced Fermi gas with Rashba spin-orbit coupling at zero temperature. We find that due to the competition among mass imbalance, pairing interaction and spin-orbit coupling, there is a double-well structure in the thermodynamic potential, which affects the properties of the ground state of the system. We comprehensively give the phase diagrams of the system on the plane of spin-orbit coupling and chemical potential, and the phase diagrams on the plane of the reduced mass ratio and two-body binding energy. This study not only points out the stable region of topological superfluid state of mass-imbalanced Fermi gas, but also provides a detailed theoretical basis for better observation of topological superfluid state in experiments.     

失谐对耗散耦合腔阵列体系超流-绝缘相变的影响

利用平均场理论和微扰论解析求解了失谐存在且环境作用下Jaynes-Cummings-Hubbard模型的哈密顿量,得到了体系序参量的解析表达式,并讨论了失谐对体系超流一绝缘相变的影响,研究结果表明:调节失谐可以改变腔间的有效排斥势和系统的临界隧穿率,实现系统在超流态和绝缘态之间转变,结合耗散耦合腔阵列的输运性质探讨了失谐对序参量取值的影响,结果显示:沿失谐负支随着失谐的增大,序参量会经历先增后减的变化。     

Holographic p-wave superfluid with Weyl corrections

In this work,we study the effects of the Weyl corrections on the p-wave superfluid phase transition in terms of an EinsteinMaxwell theory coupled to a complex vector field.In the probe limit,it is observed that the phase structure is significantly modified owing to the presence of the higher order Weyl corrections.The latter,in general,facilitates the emergence of the superfluid phase as the condensate increases with the Weyl coupling measured byγ.Moreover,several features about the phase structure of the holographic superfluid are carefully investigated.In a specific region,the phase transition from the normal phase to the superfluid phase is identified to be the first order,instead of being the second order,as in the cases for many holographic superconductors.By carrying out a numerical scan of model parameters,the boundary dividing these two types of transitions is located and shown to be rather sensitive to the strength of Weyl coupling.Also,a feature known as"Cave of Winds",associated with the emergence of a second superfluid phase,is observed for specific choices of model parameters.However,it becomes less prominent and eventually disappears asγincreases.Furthermore,for temperature in the vicinity of the critical one for vanishing superfluid velocity,denoted by T0,the supercurrent is found to be independent of the Weyl coupling.The calculated ratio,of the condensate with vanishing superfluid velocity to that with maximal superfluid velocity,is in good agreement with that predicted by Ginzburg-Landau theory.While compared with the impact on the phase structure owing to the higher curvature corrections,the findings in our present study demonstrate entirely different characteristics.Further implications are discussed.     

px+ipy superfluid from s-wave interactions of fermionic cold atoms

Two-dimensional (p(x)+ip(y)) superfluids or superconductors offer a playground for studying intriguing physics such as quantum teleportation, non-Abelian statistics, and topological quantum computation. Creating such a superfluid in cold fermionic atom optical traps using p-wave Feshbach resonance is turning out to be challenging. Here we propose a method to create a p(x)+ip(y) superfluid directly from an s-wave interaction making use of a topological Berry phase, which can be artificially generated. We discuss ways to detect the spontaneous Hall mass current, which acts as a diagnostic for the chiral p-wave superfluid.     

A model for the λ-transition of helium

Summary Guided by the analogy to the Bose-Einstein condensation of the ideal Bose gas (IBG) we propose a new model for the λ-transition of liquid helium. Deviating from the IBG our model uses phase-ordered and localized single-particle functions. This means that finite groups of particles are assumed to be phase-locked. These phase correlations can be related to the singularity at the transition point and to the occurrence of the superfluid density. The model leads to the following results: 1) a possible explanation of the logarithmic singularity of the specific heat, 2) a characteristic functional form for the superfluid density which yield excellent fits to the experimental data, 3) a quantitative prediction of a small nonzero entropy content of the superfluid component.