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《中国物理 B》2020,(2)
Wave properties of solitons in a two-component Bose-Einstein condensate are investigated in detail.We demonstrate that dark solitons in one of components admit interference and tunneling behavior,in sharp contrast to the scalar dark solitons and vector dark solitons.Analytic analyses of interference properties show that spatial interference patterns are determined by the relative velocity of solitons,while temporal interference patterns depend on the velocities and widths of two solitons,differing from the interference properties of scalar bright solitons.Especially,for an attractive interactions system,we show that interference effects between the two dark solitons can induce some short-time density humps(whose densities are higher than background density).Moreover,the maximum hump value is remarkably sensitive to the variation of the solitons' parameters.For a repulsive interactions system,the temporal-spatial interference periods of dark-bright solitons have lower limits.Numerical simulation results suggest that interference patterns for the dark-bright solitons are more robust against noises than bright-dark solitons.These explicit interference properties can be used to measure the velocities and widths of solitons.It is expected that these interference behaviors can be observed experimentally and can be used to design matter wave soliton interferometer in vector systems. 相似文献
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飞秒暗孤子间相互作用的数值研究 总被引:7,自引:1,他引:6
通过数值模拟对飞秒暗孤子间的相互作用进行了研究,并且同飞秒亮孤子和皮秒暗孤子分别进行了比较,结果表明:同飞秒亮孤子相比,飞秒暗孤子间的相互作用比较小,前者表现为相互吸引、碰撞、合二为一,然后相互排斥,不具有周期性;而后者从一开始就相互排斥,且这种排斥作用较亮孤子来说相当微弱,同样也不具有周期性。此外,数值模拟的结果还表明,飞秒暗孤子间的相互作用同皮秒尺度下暗孤子间的相互作用基本一致,并且通过计算表明,飞秒暗孤子间的相互作用在一定范围内仍可利用皮秒尺度下暗孤子间相互作用的经验公式。但是,数值模拟结果显示,两孤子的初始间距越小,由经验公式计算结果所带来的误差就越大。 相似文献
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The coherent interaction scenarios of two solitons, three solitons, and four solitons are presented. For two-soliton interactions, energy transfer and fusion between solitons are dependent on the relative phase of the interaction solitons, and for multi-soliton interactions, energy transfer will occur in all three relative phase conditions. The magnitude and direction of energy transfer can be controlled respectively by adjusting the interval and the relative phase of solitons. 相似文献
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有偏压的光伏光折变晶体中屏蔽光伏孤子的自偏转 总被引:5,自引:2,他引:3
修正了有偏压的光伏光折变晶体中屏蔽光伏孤子的理论。用微扰法研究了屏蔽光伏孤子的自偏转,得出孤子光呸中心的运动为抛物线,并且空间频率分量随传播距离而线性移动,改变外偏压或旋转光的偏振方向可以控制其自偏转。当光伏效应可忽略时,屏蔽光伏孤子的非线性波动方程就转化为屏蔽孤子的非线性波动方程,它的自偏转就转化为屏蔽孤子的自偏转。当外偏压为零时,屏蔽光伏孤子的非线性波动方程就转化为光伏孤子的非线性波动方程,它的自偏转证明了光伏孤子中也存在着自偏转。 相似文献
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This paper investigates the temporal behavior of two-photon screening spatial solitons using a numerical technique. An expression for the time-dependent dynamical evolution is obtained. The results show that the width of bright solitons decreases monotonically to a minimum toward steady state value when the intensity ratio of the solitons is small, which is in low-amplitude regime. Within the same propagation time, the intensity width of solitons decreases with increase in soliton intensity ratio and with increase in external electric field. The formation time of solitons is independent of the intensity ratio of the solitons or the external electric field and is close to a constant determined by the dielectric relaxation time. The temporal properties of dark solitons are similar to those of the bright solitons. 相似文献
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An interaction of vector solitons in the frame of coupled third-order nonlinear Schrödinger equations taking into account third-order linear dispersion, nonlinear dispersion, and cross-phase modulation terms is considered. Phase nature of the solitons? interaction is shown. In particular, dependence of solitons? trajectories on initial distance between solitons is shown. Conditions of reflection and propagation of solitons through each other are obtained. 相似文献
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基于相干密度理论,数值地研究了在饱和对数非线性介质中多个部分非相干光空间孤子之间的相互作用. 数值结果表明,在非相干参量较小情况下,非相干光孤子的相互作用与相干光孤子的相互作用规律较类似. 当非相干参量较大时,强的非相干性模糊了孤子之间的相位关系,孤子间的相互作用主要以非相干相互吸引作用为主. 特别是在非相干参量较大而且孤子初始相对相位差为π的情况下,多个部分非相干光孤子可并行传播形成稳定的阵列孤子. 利用多个非相干光孤子的不同相互作用形态写入各种阵列波导,为实现光控制光、导向光提供了一种可能性.
关键词:
多个部分非相干光空间孤子
空间光孤子的相互作用
相干密度理论
饱和对数非线性 相似文献
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A theory of the space-charge field is improved in biased photorefractive-phorovoltaic crystals. Steady-state spatial solitons are obtained in the low-amplitude regime in biased photorefractive-photovoltaic crystals. When photovoltaic effect is neglected, these solitons are screening solitons, and their space-charge field is the space-charge field of screening solitons. When the external field is absent, these solitons are photovoltaic solitons for the closed or the open circuit and we also predict that gray solitons exist in photorefractive-photovoltaic crystals, and their space-charge field is the space-charge field of photovoltaic solitons. 相似文献
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We demonstrate the first fully controlled generation of immobile and slow spatial gap solitons in nonlinear periodic systems with band-gap spectra, and observe the key features of gap solitons that distinguish them from discrete solitons, including a dynamical transformation of gap solitons due to nonlinear interband coupling. We also describe theoretically and confirm experimentally the effect of the anomalous steering of gap solitons in optically induced photonic lattices. 相似文献
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Numerical studies of the dynamics of sine-Gordon solitons in two spatial dimensions are presented. New results like 4π-break up, “soliton-on-soliton effect”, and scattering at a circular inhomogeneity for line solitons on large-area Josephson junctions are reported. For elliptic ring solitons we find oscillating eccentricity between the major axes in the pulson phase. Colliding non-concentric ring solitons are shown to form larger oval ring solitons or to repel each other. This new effect is qualitatively explained in terms of the 4π-break up for line solitons. 相似文献
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Bright and dark spatial gap solitons are demonstrated in waveguide arrays. These gap solitons travel across the array at zero transverse velocity, in complete analogy with stationary (immobile) temporal gap solitons. Furthermore, the launching configuration for observing these stationary gap solitons is shown to be the analog of an "ideal experiment" for observing stationary temporal gap solitons, never observed so far. A clear distinction is established between the family of Floquet-Bloch solitons in general and discrete solitons in particular, and the limiting case of gap solitons. 相似文献
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Internal modes and internal oscillation of vector solitons associated with photoisomerization and necklace solitons in Bessel lattices are researched. While white noise gives rise to the unsmoothness of the vector solitons, the perturbation of internal modes results in the long-distance quasi-periodic oscillation of soliton shape. Internal modes of two-dimensional necklace solitons in Bessel lattices have both real and imaginary parts, which is different with the internal modes of one-dimensional solitons which have only real part. 相似文献
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LU Keqing ZHANG Yanpeng TANG Tiantong HOU Xun WU Hongcai Department of Electronic Science Technolog Xi’an Jiaotong University Xi’an China Department of Applied Physics Xidian Un 《Chinese Journal of Lasers》2001,10(3):223-227
1 Introduction Steady statephotorefractive (PR)spatialsolitons[1~ 3] havebeeninvestigatedextensivelyinthepastfewyears.Atpresentthesearetwodifferentkindsofsteady statePRsolitons :screening[1 ,2 ] solitonsandphotovoltaic (PV) [3]solitons.Morerecently ,wehaveshowntheo… 相似文献
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The existence and stability of solitons in one-dimensional multilayer photonic crystals potentials are reported. For all of the solitons, there exist cutoff points of the propagation constant below which the solitons vanish in the semi-infinite gap. The fundamental solitons are stable in the whole range where solitons exist. The antisymmetric dipole solitons can be stable when the propagation constant closes to the cutoff point. The range of stability for symmetric tripole solitons is changed with modulation depth and width of the multilayer photonic crystals potentials. The power of solitons increases with increasing of propagation constant and modulation width or decreasing of modulation depth of the potentials. 相似文献
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Feshbach resonance management of vector solitons in two-component Bose—Einstein condensates 下载免费PDF全文
We consider two coupled Gross-Pitaevskii equations describing a two-component Bose-Einstein condensate with time-dependent atomic interactions loaded in an external harmonic potential,and investigate the dynamics of vector solitons.By using a direct method,we construct a novel family of vector soliton solutions,which are the linear combination between dark and bright solitons in each component.Our results show that due to the superposition between dark and bright solitons,such vector solitons possess many novel and interesting properties.The dynamics of vector solitons can be controlled by the Feshbach resonance technique,and the vector solitons can keep the dynamic stability against the variation of the scattering length. 相似文献