Geometric Phase for Optical Free Induction Decay

Geometric phase is investigated for optical free induction decay with a modified Bloch equation by establishing in connecting density matrices with nonunit vector ray in a complex projective Hilbert space. Under the limiting of pure state, our approach may give out the Berry phase and Aharonov and Anandan one. Furthermore, by comparing our approach with the kinematic one, we find that, after a suitable modification to the kinematic approach, both differences are very small for the Berry phase of mixed states in the optical free induction decay under the case of quasicyclic evolution.     

General Solutions of Geometric Phase of Neutron in Rotating Magnetic Fields

The exact solutions of the closed evolution of spin states in rotating magnetic fields are described for the most general cases via eigenstate method. A simple algorithm for calculating the geometric phase is exploited.     

影响空间变化偏振矢量光束强聚焦后焦斑移位的因素

利用衍射积分公式数值模拟了不同阶次的空间变化偏振矢量贝塞尔高斯(BG)光束经过强聚焦系统后在焦点附近的强度分布。数值结果显示空间变化偏振矢量BG光束聚焦后在光束传播轴负方向存在焦斑移位现象,其焦斑移位的大小与光束的模阶次、光束宽度、波长以及局部偏振状态密切相关。矢量光束偏振态的变化依靠液晶相位延迟器(LCVR)的相位延迟角度来控制,由于LCVR的相位延迟角度可以在0～π之间连续变化,从而改变光束的局部偏振状态,间接实现了对矢量光束焦斑移位大小的实时控制,在光学微操纵领域具有潜在的应用价值。     

Pancharatnam Phase of Two-Mode Optical Fields with Kerr Nonlinearity

The Pancharatnam phase when an ideal cavity is filled with a Kerr-like medium and coupling is affected through a nondegenerate Raman two-photon process is studied. A careful investigation is made seeking exact results on the temporal evolution of atomic inversion and Pancharatnam phase. We invoke the mathematical notion of maximum variation of a function to construct a measure for Pancharatnam phase fluctuations. It is shown that Pancharatnam phase contains explicit information about the statistics of the field and atomic coherence, and is also shown that addition of the Kerr medium has an important effect on the properties of this phase. The results show that the effect of the Kerr medium changes the quasiperiod of the Pancharatnam phase evolution. The influence of Stark shift on the atomic inversion and the Pancharatnam phase in both presence and absence of the nonlinear medium is examined. General conclusions reached are illustrated by numerical results.     

Two-Dimensional Phase Unwrapping by Direct Elimination of Rotational Vector Fields from Phase Gradients Obtained by Heterodyne Techniques

Noting the analogy between electro-magnetic fields and the vector fields of phase gradients obtained by heterodyne techniques, we propose a new algorithm for least-squares phase unwrapping. Instead of solving a Poisson equation for the unwrapped phase map or using Green’s formulation, we directly remove singular points or residues from the measured phase map by superposing sign-reversed vortex fields which cancel out the rotational vector fields associated with the phase singular points.     

Geometric Phase for a Three-Level Atoms Crosses a Double Cavity with Two Near Resonnat Fields

Pancharatnam phase and Berry phase are investigated and compared for a three-level atom crosses a double cavity with two near resonant fields. The results show that the time-dependent Pancharatnam phase shows a transitive phenomenon during the evolving process of physical system according to both the time and the space, while the Berry phase as a smooth function of space because of the accumulative effect.     

Generation and Tunable Focal Shift of the Hybridly Polarized Vector Optical Fields with Parabolic Symmetry

Based on a parabolic coordinate system, we theoretically design and experimentally generate hybridly polarized vector optical fields with parabolic symmetry of the first and second kinds, which can further enrich the family of vector optical fields.The wavefront of this new-kind vector optical field contains circular, elliptic and linear polarizations, and the polarizations can keep the same or change along the parabolic curves.Then we present the realization of tunable focal shift with the hybr...     

Geometric Phase and Sidebands

Geometric phase of mixed state is expanded for a two-level atom interacting with a quantized field mode, where master equation is a modified Bloch equation with constant terms that are used to explain emergence of sidebands in the spectrum of the fluorescent light. The results show that geometric phase transition is observed for medium initial angle when the Rabi frequency associated with the driving field becomes comparable to the spectral width of the atom. We find that the geometric phase transition depends on population inversion and Bloch radius, which is helpful to understand mechanism of sideband.     

Geometric Phase and Bose-Einstein Condensate

We show that a geometric phase may appear in the Bose-Einstein condensate (BEC) in which an adiabatic procedure happens, then a perturbation expression of geometric phase is obtained for the case of time-averaged orbiting potential trap. The phase caused by the adiabatic bias magnetic field in one BEC may interfere with another, which is similar to the phase interference of Aharonov-Susskind effect, and can be observed by experiments.     

Off-diagonal Geometric Phase of Two-Qubit System

This paper focuses on the off-diagonal geometric phase of the thermal state of a two-qubit system under the external magnetic field. The properties of geometric phases of the state in critical and non-critical regions are discussed respectively. The sudden change of structure of degeneracy at the critical point do not affect the geometric phase of the model. Increasing temperature tends to suppress the off-diagonal geometric phase. The relationship between the geometric phase and external magnetic field is also discussed.     

Geometric Phase of a Coupled System

In this contribution, my main attention is paid to the study of the geometric phase of a two-level system.Asymptotic expansion of the eigenvalue and analytic information are obtained. The results are illustrated with an application to a specific atomic system.     

Geometric Phase of a Coupled System

In this contribution, my main attention is paid to the study of the geometric phase ora two-level system.Asymptotic expansion of the eigenvalue and analytic information are obtained. The results are illustrated with an application to a specific atomic system.     

Yang-Mills Fields as Optical Media

A geometrization of the Yang-Mills field, by which an SU(2) gauge theorybecomes equivalent to a 3-space geometry—or optical system—is examined. Ina first step, ambient space remains Euclidean and current problems on flat spacecan be looked at from a new point of view. The Wu-Yang ambiguity, for example,appears related to the multiple possible torsions of distinct metric-preservingconnections. In a second step, the ambient space also becomes curved. In thegeneric case, the strictly Riemannian metric sector plays the role of an arbitraryhost space, with the gauge potential represented by a contorsion. For some fieldconfigurations, however, it is possible to obtain a purely metric representation.In those cases, if the space is symmetric homogeneous, the Christoffel connectionsare automatically solutions of the Yang-Mills equations.     

The Non-Linear Geometric Optics of the Localized Wave Fields

The new approach to the self-action theory of intensive localized pulses, based on the hydrodynamical analogy in the non-linear geometrical optics, is proposed. The complex of phenomena of amplitude-phase non-stationary evolution of the intensive localized electromagnetic wave pulses in the dispersive medium is analysed in the framework of such approach. The wide classes of exact analytical solutions of the non-linear self-action equations, connected with such pulses, are constructed. The simple form of these solutions, represented with the well-known eigen-functions of the Laplace equation in special variables, permits to divide the pulse non-linear deformation qualitatively different effects. These solutions predict the large-scale pulse self-stratification and the origin of the quick intensity increase area during the non-linear evolution of the initially smooth distribution of the wave. The characteristic points of such evolution are represented by the singularities in the exact solutions of the non-linear geometrical optics. All results, describing the dynamics of the non-linear amplitude-phase re-building of the pulse, are represented in the simple algebraic form.     

光纤几何参数的自动检测仪

叙述了光纤几何参数的自动测试方法,光纤断面通过显微光学系统成像,由CCD摄像头接收,并通过图像采集系统传输到计算机中,供进一步处理,介绍了测量原理及数学模型,采用了图像增强,图像分割等处理技术,消除图像噪声,从光纤断面图像中提取有效信息,采用不同的算法,精确计算了光纤几何参数,编制了实用化软件,提供了实测结果及二三维图示,根据上述原理与技术研制的仪器,操作简便,测量精度高。     

Geometric Phase in the Breit-Rabi System

By using of the invariant theory, we have studied the geometric phase in a time-dependent system with Higgs algebra structure, the dynamical and geometric phases are given, respectively. The Aharonov-Anandan phase is also obtained under the cyclical evolution. The disappearing condition of the geometric phase is given.     

Berry几何相与量子跃迁

针对Berry几何相的出现所关联的量子能级,微弱变化跃迁的物理背景条件进行分析研究;对严格产生(获得)Berry几何相与这种微弱变化跃迁之间的内在关系作进一步探讨.结果表明:Berry几何相的严格产生都是由系统在演变过程中所出现的量子能级微弱变化跃迁的绝热极限效应所必然导致的结果.     

Geometric Phase Observation with Dispersed Fringes

Geometric and dynamic phases are separately observed using dispersed fringes, and the difference between them is clearly demonstrated. Independence of geometric phase of wavelength is straightforwardly shown in the dispersed fringe.