In this study, we investigate the kink soliton dynamics for power-law nonlinear systems. Based on the F -expansion method, we first derive the novel kink soliton solution of the nonlinear Schrödinger equation (NLSE) with third-order dispersion term, power-law dependent nonlinearity term, linear attenuation term, and self-steepness term under appropriate parameter settings. With pictorial demonstration, we show that the obtained kink soliton solution not only has the soliton features of the classical NLSE, but also has power-law features. The theoretical results presented in our work can be used to guide the observation of soliton behavior in power-law dependent media.

In this work, based on the nonlinear Schrödinger equation with quintic higher-order nonlinearity and higher-order dispersion effects, we investigate the dynamics of bright soliton in power-law nonlinear medium with quintic-order nonlinearity. Via the F-expansion method, we derived the typical bright soliton solution of such system and show the system’s power-law characteristics of the derived bright soliton evolution graphically. Meanwhile, we show the stability of the bright soliton for the power-law system under the system’s appropriate practical parametric setting. The theoretical results derived in this work can be used to guide the experimental observation of the dynamic behavior of solitons in higher-order nonlinear power-law systems with higher-order dispersion.

Based on the ellipse expansion principle, the angle transformation zero offset imaging algorithm is derived by introducing two parameters of seismic wave incident angle and stratigraphic dip angle in this paper. This method can realize zero offset imaging with only these two angles. However, strong interference noise exists during imaging. Aiming at this problem and the production application, three improved methods, using seismic wave incident angle only, stratigraphic dip angle only, velocity and stratigraphic dip angle together have been derived. By comparing these three methods, we optimized and realized the successful application of improved angle transformation zero offset imaging algorithm with velocity and stratigraphic dip angle. Through the mathematical analysis, numerical model and the real data processing, the effectiveness of the new method is verified. The new method does not need the assumed condition that the subsurface reflection layer has to be horizontal. In addition, the subsurface reflection layers can be dip or bending. In the condition of homogeneous medium, the real subsurface velocity and stratigraphic dip angle can be estimated, and the real zero offset imaging can be realized with the new algorithm, which is essentially different from CMP methods. For the complex subsurface medium, the new method can also perform a better zero offset imaging.

针对大学物理课程教学中存在的理论与实验脱节问题,文章探索和实践了虚实结合的、实践创新能力培养的混合式《大学物理》教学模式.通过将"线上线下课程资源建设""虚实结合课堂实验""创新训练"3个维度融为一体,形成充实丰满、互动性强的立体化大学物理教学体系,提高学生参与度、激发学生学习主动性、挖掘学生创新潜能,提高大学物理的整体教学质量.

研究了驻波激光场与囚禁在谐振势中离子p量子共振相互作用系统中离子振动正交相压缩特性,通过数值计算揭示了参量p和Lamb-Dicke参量η以及离子在驻波场中位置对压缩特性的影响.结果表明,大的Lamb-Dicke参量不利于压缩,而多量子共振有助于压缩,离子中心从驻波激光场的波腹向波节移动时,压缩区宽度和出现时间变化对奇数和偶数p是相反的.

We study sonic horizon formation dynamics for Bose-Einstein condensate systems with higher-order nonlinear interaction. Based on the Gross-Pitaevskii equation incorporating higher-order nonlinear effects and through a variational method, we derived the criteria formula for sonic horizon occurrence. The key features of the sonic horizon are pictorially demonstrated, and we identified the stabilization and widening metastable effects of the higher-order nonlinear interaction, from which the quantitative results can be used to guide relevant experimental observations of sonic black holes with higher-order nonlinear effects.

应用4×4传输矩阵法计算了由Ce:YIG磁性层、SiO2电介质层构成的多缺陷多层膜对称磁光子晶体的Fara-day旋转和透射响应谱.结果表明,通过光子晶体几何结构的设计和外加静磁场方向的转动,可以实现理想或近理想的磁光隔离器,这样的磁光隔离器长度不超过30μm.本文设计的平顶磁光隔离器工作波长为1550 nm,无需转动外磁场,其带宽达7.2 nm,透射率超过99.99％,Faraday旋转角为45.09°.

为从量子信息角度理解隧穿量子点的物理过程,文中研究了与单模腔场相互作用的隧穿量子点分子的Wigner-Yanase偏态信息,分析了各能级上布居数时间演化与量子点间电子隧穿耦合系数的关系,着重讨论了平均光子数、失谐量以及隧穿耦合系数对Wigner-Yanase偏态信息的影响.结果发现:各个能级上的布居数演化呈现出典型的塌缩和复原现象,隧穿耦合系数增大,塌缩时间变长.偏态信息演化周期随平均光子数的增大而增大,失谐量会影响布居数塌缩区间偏态信息的振荡次数.

An analysis of the field squeezing is presented for the system of a tunneling-coupled quantum dot molecules interacting with a single-mode quantum light field. The time evolution of squeezing parameters is obtained by solving the Liouville-von Neumman-Lindblad equation in Markovian approximation, which considers the spontaneous exciton decay and pure dephasing. Under the initial coherent optical field, We find field squeezing both in short time regime and during the population oscillation revivals. And we also find that the squeezing during the population oscillation revivals can be enhanced by the decrease of the dissipation parameters Γ01,Γ1,Γ2 associated with spontaneous emission and dephasing and by the increase of the initial mean photon number, tunneling coefficient and the nonradiative dissipation parameter Γ02 or when the detuning of the laser is approximately equal to the energy difference between the electron tunneling coupled states, while there is little change in squeezing for variation of the above-mentioned parameters in the short time regime.

The Wigner-Yanase skew information of trapped ions in a standing-wave field is investigated and the revival period is also obtained.It's found that the period is the same as revival time of ion population inversion.The analytical solution and numerical simulation are analyzed.The revival period of WignerYanase skew information is found to decrease with the increasing of Lamb-Dicke parameter,and increase with the increasing of ion mean vibration phonon number.The revival time will be longer when the ion mass center is moved from wave node to anti-node.It is theoretically proved that the initial state information of the ions is always 1/2 when vibration state of trapped ions is in coherent state.The characteristics of quantum entanglement between the ion and standing wave laser field are analyzed.

We study the [Formula: see text]-dimensional generalized cubic-quintic nonlinear Schrödinger equation (GCQ–NLSE) with two nonlinear terms that is in cubic-quintic formulation and the general format of polytropic approximation. We find the analytical solution of the GCQ–NLSE through the [Formula: see text]-expansion method without utilizing any integrability condition. We apply the analytical results to the concrete system that supports dark soliton and reach the analytical formula for the sound speed based on the results from the theoretical treatment of GCQ–NLSE. We show that our derived results match pretty well with measured sound velocity values in the off-center regions of the BCS–BEC crossover regime under the same parametric setting, demonstrating the applicability of our theoretical treatment.

In this paper, we investigate the fourth‐order nonlinear Schrödinger equation with parameterized nonlinearity that is generalized from regular cubic‐quintic formulation in optics and ultracold physics scenario. We find the exact solution of the fourth‐order generalized cubic‐quintic nonlinear Schrödinger equation through modified F‐expansion method, identifying the particular bright soliton behavior under certain external experimental setting, with the system's particular nonlinear features demonstrated. Copyright © 2016 John Wiley & Sons, Ltd.

If a quantum system evolves periodically, the Pancharatnam geometric phase generated in one period becomes the famous Berry phase. We calculated the Berry phase of a tunneling-coupled double quantum dot driven by an external laser field, in the stationary state, by using the general theory for an open three-level quantum system. The effects of tunneling strength, intensity of the laser field, frequency difference of the tunneling levels and detuning of the laser are investigated.

We investigate the dynamics of the (1+1)-dimensional nonlinear Dirac equation generalized from the traditional Thirring model. The effects of a diagonal external potential and a parameterized nonlinearity on the features of the system’s dynamical evolution are highlighted, specifically for a Zeeman-field external potential and a nonlinear parametric setting, which lead to bright soliton features.

We investigate the field squeezing in a system composed of an initial coherent field interacting with two quantum dots coupled by electron tunneling. An approximate quantum-dot molecule Jaynes-Cummings model describing the system is given, and the effects of physical quantities, such as the temperature, phonon-electron interaction, mean photon number, field detuning, and tunneling-level detuning, are discussed in detail.

考虑了各含一个二能级的量子点和一个三能级隧穿量子点分子的两耦合腔系统,导出了量子点、量子点分子与腔场发生共振相互作用,量子点处于激发态,量子点分子处于基态,腔场均处于真空态的初始条件下系统的态矢量,运用Negativity度量子系统间的纠缠,采用数值计算的方法研究了量子点原子与量子点分子之间,腔中量子点(量子点分子)与腔场之间和两个腔场之间的纠缠特性,探讨了腔场间的耦合系数及量子点分子的隧穿强度对纠缠特性的影响.结果表明,与弱腔场耦合相比,在强腔场耦合情况下,量子点、隧穿量子点分子与腔场之间的纠缠及腔场之间的纠缠减弱,量子点分子与隧穿量子点分子之间纠缠增强;在腔场弱耦合或强耦合下,随着量子点分子隧穿强度的增加,量子点与量子点分子间及量子点与腔场间的纠缠强度受影响程度较小,只有量子点分子与腔场纠缠出现明显减弱.

In order to provide advice on the control of the geometric phase of a quantum system,it explores the Berry phase in a tunneling double-quantum-dot molecule interacting with a quantized single-mode field by the full quantum theory.Effects of parameters,such as the mean photon number of the field,field-dot detuning,tunneling energy-level detuning,linear and nonlinear field-dot coupling,on the geometric phase were researched.The results show that in the region where anticrossing of the eigenenengy levels of the system occurs,the Berry phase can be efficiently controlled by adjusting the applied voltage exerted on the quantum-dot molecule.The conclusion may be applied in quantum computation.

A full quantum theory is adopted to derive the differential equations satisfied by the state of a system that is composed of an electron tunneling-coupled quantum-dot molecule interacting with a single-mode radiation field. The phase of the field is calculated by the Pegg-Barnett quantum phase formalism under the initial condition of a coherent-state field and the tunneling excited state or ground state for the quantum-dot molecule. Phase distribution and fluctuation of the field are analyzed, the influence of interaction between phonons and the quantum-dot molecule on the Pegg-Barnett quantum phase is investigated, and the phase distribution is compared with the Husimi phase distribution of the field. Results indicate that temperature can have a marked impact on the phase evolution. The existence of phonons suppresses the field phase distribution and fluctuation in the case when the quantum dot molecule is initially in the tunneling-excited state, while it enhances the diffusion and fluctuation of the field phase in the case when the quantum dot molecule is initially in the ground state. The Husimi phase distribution and the Pegg-Barnett phase distribution agree with each other fairly well in our study.

We investigate the dynamics of a quantized vortex in a trapped superfluid Fermi gas near the unitarity limit. By taking a trial wave function for the order-parameter of a condensate in a rotating axisymmetric trap confinement and using a time-dependent variational analysis we obtain the equations of motion and their solutions for anomalous mode. The results show that the critical rotating frequency of the trap increases when the system ranges from the left to the right side of the unitarity limit, while the period of the vortex decreases in this regime.