Surface electromagnetic waves at a superfluid liquid—normal metal interface

Surface electromagnetic waves, which can propagate along the plane interface between a superfluid liquid and a normal metal, are investigated. The dispersion relations for surface waves with different polarizations of the optical anisotropy of the superfluid liquid are obtained and their possible frequency ranges are determined. It is shown that anisotropic optical contribution to the dielectric constant of the superfluid liquid can be determined from experiments on excitation of surface electromagnetic waves.     

Microscopic modes in a Fermi superfluid. I. Linearized kinetic equations

This is the first of two papers in which microscopic expressions for the amplitudes and dispersion relations for hydrodynamic modes in an isotropic Fermi superfluid are derived. In this first paper we derive closed, decoupled, linearized kinetic equations for the bogolon spin density and total density in a Fermi superfluid with fluctuating superfluid velocity, and we discuss the form of the hydrodynamic equations that result from these equations.     

Microscopic modes in a Fermi superfluid. II. Dispersion relations

This is the second of two papers in which microscopic expressions for the amplitudes and dispersion relations for hydrodynamic modes in an isotropic Fermi superfluid are derived. In this paper we obtain approximate solutions to the linearized kinetic equations for the bogolon spin density and total density for the case of long-wavelength disturbances after long times when a fluctuating superfluid velocity is present. In so doing, we obtain microscopic expressions for the amplitude and dispersion relations for the spin diffusion mode, the two shear modes, and the four longitudinal modes (two first-sound modes and two second-sound modes).     

Dynamical effects in superfluid helium 4

The close structural similarity between the commutation relations of harmonic oscillator operators and the operators for Bose fields is exploited to study the excitation spectrum in superfluid helium 4. By applying ‘broken symmetry’ condition it is shown how the creation of phonon gives rise to superfluid behaviour of liquid He 4. The energy gap needed for roton excitation is derived.     

Quenched Kosterlitz-Thouless superfluid transitions

Rapidly quenched Kosterlitz-Thouless (KT) superfluid transitions are studied by solving the Fokker-Planck equation for the vortex-pair dynamics in conjunction with the KT recursion relations. Power-law decays of the vortex density at long times are found, and the results are in agreement with a scaling proposal made by Minnhagen and co-workers for the dynamical critical exponent. The superfluid density is strongly depressed after a quench, with the subsequent recovery being logarithmically slow for starting temperatures near T(KT). No evidence is found of vortices being "created" in a rapid quench; there is only decay of the existing thermal vortex pairs.     

Universal scaling relations in molecular superconductors

Scaling relations between the superconducting transition temperature T(c), the superfluid stiffness rho(s), and the normal state conductivity sigma(0)(T(c)) are identified within the class of molecular superconductors. These new scaling properties hold as T(c) varies over 2 orders of magnitude for materials with differing dimensionality and contrasting molecular structure and are dramatically different from the equivalent scaling properties observed for cuprate superconductors. These scaling relations place strong constraints on theories for molecular superconductivity.     

Quantum Entanglement and Normal-to-Local Transition in Molecule H2

Quantum entanglement of two stretches in molecule H2S is investigated for various initial states in terms of the reduced-density yon Neumann entropy and the mean entropy defined by average over time. It is shown that the maximal and the mean entropies of an initial state with local-mode character are smaller than those with normal-mode character, and the mean entropy displays a maximum near the position of the normal-to-local transition.     

Entanglement and decoherence in a quantum dimer

The dynamical properties of quantum entanglement in an integrable quantum dimer are studied in terms of the reduced-density linear entropy with various coupling parameters and total boson numbers. The characteristic time of decoherence process in the early-time evolution of the linear entropy is obtained, indicating that the characteristic time and the corresponding entropy exhibit a maximum near the position of the corresponding classical separatrix energy.     

Superfluidity of indirect excitons in a quantum dot

The superfluidity and Bose–Einstein condensation of indirect excitons in coupled quantum dots or trapped atoms with induced dipole momenta (or dipole molecules) are studied by path-integral Monte Carlo simulations. The temperature dependencies of superfluid and Bose-condensed fraction are calculated at different strengths of interaction. Using Kosterlitz–Thouless recursion relations, we also predict the critical temperature in a macroscopic system of indirect excitons.     

Onsager type relations for new-introduced kinetic coefficients connected with magnetic field in case of 3HeA, 3HeB

New terms describing dissipation are added to currents in the spin hydrodynamic equations for superfluid phases A and B of ³He. The terms contain kinetic coefficients connected with external magnetic field and nonconventional fields conjugated to the hydrodynamic variables describing suitable broken symmetries. Due to the Onsager type relations only two new coefficients in each phase (both connected with magnetic field) remain in the equations and can be expressed in terms of the “old” kinetic coefficients and some generalized susceptibilities. Experimental data for superfluid ³He may be able to provide information about “viscosity” of magnetic fields.     

Fermionic Coherent States in Optical Lattice

We discuss the coherent state of an attractive superfluid Fermi gas. In order to explain the time evolution of the Fermi atomic gas in the optical lattice, we present mathematical relations for the autocorrelation function and first-order correlation function. The analytical results show a dependence of the oscillation time on the controlling parameters, which may be achieved experimentally.     

超冷原子中拓扑超流的发展现状

拓扑超流态是一种奇异物质态,它的内部受能隙保护,而在其系统边缘却可以容纳无能隙的Majorana 费米子。由于该粒子满足非阿贝尔统计,并且受拓扑保护具有良好的稳定性,用它 们携带量子化的信息,可以用于拓扑量子计算的研究。近年来,理论工作预测了各类系统中可能 存在的拓扑超流态。我们首先介绍了在各类光晶格模型中的拓扑超流, 光晶格的超冷原子具有良 好的可控性与普适性,是实现拓扑超流的理想模型系统。接下来我们介绍了自旋轨道耦合调控下 的拓扑超流,自旋轨道耦合效应是诱导拓扑相的重要条件,并且人们已经在实验上合成了人工自 旋轨道耦合,这为实验上观测拓扑超流取得了突破性的进展。随着近年来实验技术的提高,曾经 难以在实验中观测的,被人们所忽略的拓扑Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) 超流相也 成为了人们研究的热点,因此我们接下来介绍了拓扑的FFLO 超流。此外,我们还介绍了拓扑超 流其他方面的进展,包括孤子引诱的拓扑超流、三组分的拓扑超流、大陈数的拓扑超流以及拓扑 超流临界温度的提高。在实验中,如何检测与实现拓扑超流,是其研究的目的及意义所在,因 此我们在文章的最后介绍了拓扑超流的识别与实现。     

Degenerate approach to the mean field Bose-Hubbard Hamiltonian

A degenerate variant of mean field perturbation theory for the on-site Bose-HubbardHamiltonian is presented. We split the perturbation into two terms and perform exactdiagonalization in the two-dimensional subspace corresponding to the degenerate states.The final relations for the second order ground state energy and first order wave functiondo not contain singularities at integer values of the chemical potentials. The resultingequation for the phase boundary between superfluid and Mott states coincides with theprediction from the conventional mean field perturbation approach.     

Topological Vortices in Superfluid Films

We study the topological structure of the vortex system in a superfluid film. Explicit expressions for the vortex density and velocity field as functions of the superfluid order parameter are derived. The evolution of vortices is also studied from the topological properties of the superfluid order parameter field.     

低温下氦-3/氦-4液态混合物相平衡关系

在总结3He-4He混合溶液的相图研究并整理实验数据的基础上,确定了三临界点参数的精确值xt=0.674和Tt=0.867,提出了混合物超流相转变曲线和相分离曲线方程。结合实验数据对方程进行的精度分析表明,除个别实验点外,计算值与实验值百分比误差不超过2%,均在实验测量不确定度以内。通过发展得到的高精度方程绘制了可完整描述饱和蒸气压下3He-4He混合溶液的全局相图。     

Superfluid helium interferometry: an introduction

This article describes, at an introductory level, how superfluids can be used to measure absolute rotations. To make it self-contained to some degree, I first introduce briefly the two-fluid model for superfluid helium and the concept of superfluid order parameter. These ideas, which were put forward for the superfluid heliums, are now widely used, in particular for the BEC gases which are the main topic of this volume. They are presented in the somewhat different perspective of helium physics. The second part will deal with the Josephson effects, the real engine behind superfluid interferometry. These effects were predicted in the early sixties for superconductors and were promptly observed in the laboratory. It was quickly realised that they would also exist in superfluids but the search took longer and conclusive experiments were performed in the eighties only in the B-phase of superfluid ³He. How these experiments are done, and how they can be used to measure the rotation of the Earth by superfluid interferometry is surveyed in the last two sections.     

Superfluid states in α–T_3 lattice

The superfluid states of attractive Hubbard model in α–T_3 lattice are investigated. It is found that one usual needs three non-zero superfluid order parameters to describe the superfluid states due to three sublattices. When two hopping amplitudes are equal, the system has particle–hole symmetry. The flat band plays an important role in superfluid pairing near half filling. For example, when the filling factor falls into the flat band, the large density of states in the flat band favors superfluid pairing and the superfluid order parameters reach relatively large values. When the filling factor is in the gap between the flat band and upper band, the superfluid order parameters take small values due to the vanishing of density of states. The superfluid order parameters show nonmonotonic behaviors with the increase of filling factor. At last, we also investigate the edge states with open boundary conditions. It is shown that there exist some interesting edge states in the middle of quasi-particle bands.     

Heat capacity of 3He in aerogel

The heat capacity of pure 3He in low density aerogel is measured at 22.5 bars. The superfluid response is simultaneously monitored with a torsional oscillator. A slightly rounded heat capacity peak, 65 microK in width, is observed at the 3He-aerogel superfluid transition, T(ca). Subtracting the bulk 3He contribution, the heat capacity shows a Fermi-liquid form above T(ca). We can fit the heat capacity attributed to superfluid within the aerogel with a rounded BCS form accounting for 0.30 of the nonbulk fluid in the aerogel, or by assuming a substantial reduction in the superfluid order parameter. Both approaches are consistent with earlier superfluid density measurements.     

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.     

Mutual friction in the laminar flow of superfluid helium II through capillary tubes

The Hall-Vinen-Bekarevich-Khalatnikov theory is applied to the laminar flow of superfluid helium through capillary tubes. Velocity profiles obtained for the superfluid are interpreted in terms of the motion of vortex rings. The thermodynamic potential gradient as a function of the average superfluid and normal fluid velocities compares favourably with recent experimental results. It is concluded that the vortex rings originate at the wall and disappear at the tube axis.