Fast rotation of a Bose-Einstein condensate

We study the rotation of a 87Rb Bose-Einstein condensate confined in a quadratic plus quartic potential. This trap configuration allows one to increase the rotation frequency of the gas above the trap frequency. In such a fast rotation regime we observe a dramatic change in the appearance of the quantum gas. The vortices which were easily detectable for a slower rotation become much less visible, and their surface density is well below the value expected for this rotation frequency domain. We discuss some possible tracks to account for this effect.     

Effects of rotation on Landau states of electrons on a spherical shell

Based on a previously observed analogy between electromagnetic and non-inertial effects, we investigate the competition between magnetic field and rotation in the quantum motion of an electron constrained to the surface of a sphere. We solve numerically the Schrödinger equation of the problem for the energy eigenvalues and the eigenfunctions and compare the effects of the magnetic field and rotation. We obtain that, for a weak magnetic field, an electron can not distinguish between magnetic field and rotation, since they lead to equivalent behavior. But this is no longer true for strong magnetic fields. However, surprisingly, even though the rotation and magnetic fields play different roles in the electronic properties of the system, when together, each influence of the magnetic field on the energy levels can be separately balanced by rotation. We also show that no matter the intensity of the magnetic field, it is always possible to destroy the Landau levels in the sphere by rotation.     

On the Persistence of Invariant Curves for Fibered Holomorphic Transformations

We consider the problem of the persistence of invariant curves for analytical fibered holomorphic transformations. We define a fibered rotation number associated to an invariant curve. We show that an invariant curve with a prescribed fibered rotation number persists under small perturbations on the dynamics provided that the pair of rotation numbers verifies a Brjuno type arithmetical condition. Nevertheless, an extra complex parameter is added to the problem and the persistence becomes a one-complex codimension property.     

Layer-scale optical chirality of liquid-crystalline phases

We present a model for the optical chirality of layered liquid-crystalline phases. The model demonstrates that uniform stacking of chiral layers can lead to significant collective optical rotation, even in the absence of a superlayer helix. We predict the optical rotation of the B2 phases of bent-core liquid crystals, which can have optical rotation as large as 1000 times the molecular optical activity.     

Cluster State Entanglement of Semiconductor Quantum Dots Based on Faraday Rotation

We propose a scheme for a large-scale cluster state preparation of single-charged semiconductor quantum dots utilizing Faraday rotation. Without interaction between quantum dots, the exciton induced Faraday rotation could distribute the spatially separate quantum dots into a quantum network assisted by cavity QED. We obtain the corresponding parameters from the numerical simulation based on the input-output process for the required Faraday rotation and some discussion is made in view of experimental feasibility.     

Exchange rotation of hydrogen molecule

We substantiate the existence of the new type of rotation of a diatomic molecule with identical nuclei in which the nuclei periodically exchange their spatial coordinates. In the exchange rotation, the electron shell of the molecule preserves its orientation in space. The exchange rotation is considered as a particular case of molecular free rotation. We analyze the experiment on spontaneous Raman scattering of laser radiation by hydrogen molecules inside liquid water (D. G. Taylor and H. L. Strauss, J. Chem. Phys. 90(2), 1989). The intensity of scattered light and its distribution over Stokes components is shown to correspond to the assumption of the exchange rotation of hydrogen molecules in a liquid.     

Model-based algorithm for rotation invariant target recognition using laser radar range imagery

The out-of-plane rotation invariance is demonstrated for a recognition system for laser radar (ladar) range imagery. The key of our method is to transform an original ladar range image of scene data into a height-range image. We demonstrate experimentally that our method provides the out-of-plane rotation invariance property and preserves in-plane rotation invariant characteristics at the same time. We also show experimentally the relationship between the recognition rate and depression angles.     

Geometric aspects of phonon polarization transport

We study the polarization transport of transverse phonons by adopting a new approach based on the quantum mechanics of spin-orbit interactions. This approach has the advantage of being apt for incorporating fluctuations in the system. The formalism gives rise to Berry effect terms manifested as the Rytov polarization rotation law and the polarization-dependent Hall effect. We derive the distribution of the Rytov rotation angle in the presence of thermal noise and show that the rotation angle is robust against fluctuations.     

可控高速旋转的纳米线和纳米线微型电动机

文章报道了一种通过在微型电极上加交流电场，实现有控制地高速度转动纳米线的通用方法．纳米线的转动可以被瞬时启动或瞬时停止，转动速度（每分钟至少可达1800rpm），方向和总转动角度都可被精确控制．文章作者推导出了流体阻力在不同长度纳米线上施加的转矩，还用一根转动的纳米线作为微型电动机，推动灰尘颗粒做圆周运动．这种方法可以被用来转动磁性的或者非磁性的纳米线，甚至碳纳米管．这和微流机械，微搅动机，以及MEMS的关系显而易见．     

“自然坐标系”下的角动量定理及其应用

阐述在刚体的定点转动中,引入＂自然坐标系＂来分析,往往可以使问题变得更加简单,物理意义变得更加清晰,并且通过具体实例加以验证,最后通过对刚体定轴转动的分析,把刚体定轴转动的角动量定理与定点的角动量定理统一起来.     

Dynamics of the universe with global rotation

We analyze the dynamics of the FRW models with global rotation in terms of dynamical system methods. We reduce the dynamics of these models to the FRW models with some fictitious fluid which scales like radiation matter. This fluid mimics dynamical effects of global rotation. The significance of the global rotation of the Universe for the resolution of the acceleration and horizon problems in cosmology is investigated. It is found that the dynamics of the Universe can be reduced to the two-dimensional Hamiltonian dynamical system. Then the construction of the Hamiltonian allows for full classification of evolution paths. On the phase portraits we find the domains of cosmic acceleration for the globally rotating universe as well as the trajectories for which the horizon problem is solved. We show that the FRW models with global rotation are structurally stable. This proves that the universe acceleration is due to the global rotation. It is also shown how global rotation gives a natural explanation of the empirical relation between angular momentum for clusters and superclusters of galaxies. The relation J ~ M² is obtained as a consequence of self similarity invariance of the dynamics of the FRW model with global rotation. In derivation of this relation we use the Lie group of symmetry analysis of differential equation.     

Sagnac effect in coupled-resonator slow-light waveguide structures

We study the effect of rotation on the propagation of electromagnetic waves in slow-light waveguide structures consisting of coupled microring resonators. We show that such configurations exhibit a new type of Sagnac effect which can be used for the realization of highly compact integrated rotation sensors and gyroscopes.     

Rotation et cycle d'activité solaire

We give the results of measurements of the rotation period detected at 10.7 cm radio emission between 1947 and 1999. The average period for synodic rotation is 26.65 d, which becomes 26.2 d at activity maximum and to 27.0 d at minimum. The rotation rate grows and decreases during the solar cycle.     

Defect solitons in optical lattices with parity-time symmetric defect

We report experimental measurements of linear and nonlinear magneto-optical polarization rotation on an intercombination transition of Ba vapor (???=?791.1?nm). We observed a maximum polarization rotation angle in Faraday configuration of 15?mrad, accompanied by reduction of absorption.     

Measuring grain rotation at the nanoscale

In this paper, we introduced a method to measure grain rotation of nanomaterials under external stress using a high pressure diamond anvil cell and the Laue microdiffraction technique at a synchrotron facility. We used tungsten carbide marker crystals to investigate grain rotation activities of 3 and 500?nm nickel media. Our results show that the grain rotation of 3 and 500?nm nickel nanocrystals increase with pressure and finally rotation of 500?nm nickel tends to stop at a lower pressure/stress level than 3?nm nickel. 3?nm nickel nanocrystals show a higher rotation magnitude than 500?nm nickel nanocrystals. Our measurements show an effective method to study the grain rotation of nanomaterials especially in ultrafine nanocrystals.     

Soliton spiraling in optically induced rotating Bessel lattices

We address soliton spiraling in optical lattices induced by multiple coherent Bessel beams and show that the dynamic nature of such lattices makes it possible for them to drag different soliton structures, setting them into rotation. We can control the rotation rate by varying the topological charges of lattice-inducing Bessel beams.     

Interfering Bessel beams for optical micromanipulation

We examine the properties of interfering high-order Bessel beams. We implement an experimental setup that allows us to realize these interferograms, using interfering Laguerre-Gaussian beams and an axicon. We demonstrate the use of such beams for controlled rotation of microscopic particles in optical tweezers and rotators. The self-healing properties of interfering Bessel beams allow the simultaneous manipulation and rotation of particles in spatially separated sample cells.     

Experimental evaluation of the claimed coulomb rotation (electrostatic torque)

In the year 2002 publications of A.V.M. Khachatourian and A.O. Wistrom were released, in which the existence of an electrostatic torque has been claimed. This moment of force should act in a three sphere configuration, where one sphere is held at a constant electric potential. This claim was based on an observed rotation and was supported by a mathematical solution derived by Wistrom and Khachatourian. The theoretical work of Wistrom and Khachatourian as well as the interpretation of the observed rotation were criticized by several scientists who offered alternative explanations for the rotation. We therefore designed an experimental setup which enabled us to investigate the phenomenon. By performing numerous measurements, we showed that the rotation is due to asymmetric mass distribution within the sphere, which is dislocated due to electrostatic forces between the spheres. We were able to clear our measurements from this effect and observed a null result more than two orders of magnitude smaller than predicted by Khachatourian and Wistrom's theory. We therefore showed that the rotation doesn't occur in an electrostatic system within the resolution of our experiment.     

基于多层膜偏振元件的软X射线磁光Faraday偏转测量

在北京同步辐射装置(BSRF)的3W1B软X射线光束线上利用自行研制的同步辐射软X射线综合偏振测量装置对Ni的M_2,3边附近(60—70 eV)进行了软X射线磁光(magneto-optical)法拉第效应(Faraday effect)的偏转测量,实验装置主要由起偏器,检偏器,样品架,圆形钕铁硼永磁铁和MCP探测器组成,偏振元件(起偏元件和检偏元件)均采用反射式非周期性Mo/Si宽带多层膜.实验采用反射起偏和反射检偏的模式,得到一系列能量范围在60—70 eV间的法拉第偏转角结果, 关键词： 软X射线 磁光Faraday效应 综合偏振测量装置 宽带多层膜     

Non-local implementation of single-qubit rotation operation

We present two optimal schemes for non-local inplementing a single-qubit rotation operation via a maximally entangled quantum channel. We report on the quantitative relations between the quantum action,entangled and classical communication resources required in the implementation. We also put forward two schemes for conclusive implementing the non-local quantum single-qubit rotation via a partially entangled quantum channel. Both these methods can appropriately be referred to as qubit-assisted processes.