二维三角光学格子中的PT光孤子研究

研究了基于自散焦克尔非线性的PT对称三角格子中双峰光孤子的存在性及稳定性。采用改进的平方算子法(MSOM)迭代计算出孤子的数值解,发现双峰之间具有相同相位的双峰光孤子存在于第一带隙,并且可以在某个范围内稳定传输。由傅里叶配点法得到的线性稳定性与非线性模拟传输的结果是一致的。此外,这种PT对称的双峰光孤子对入射角度非常敏感,从不同角度入射的光孤子具有不同的传输特性。     

Snap-Back Repellers and Chaos in Time-delayed Chua＇s Circuit

The chaotic behavior of one-dimensional, 2-segment and 3-segment piecewise-linear maps is examined by using the concept of snap-back repellers introduced by Marotto and the parameters conditions of existence for snap-back repeller are obtained. Simulation results are presented to show the snap-back repeller,some periodic points and attracting interval cycles with chaotic intervals.     

具有双峰特性的双层超网络模型

随着社会经济的快速发展,社会成员及群体之间的关系呈现出了更复杂、更多元化的特点.超网络作为一种描述复杂多元关系的网络,已在不同领域中得到了广泛的应用.服从泊松度分布的随机网络是研究复杂网络的开创性模型之一,而在现有的超网络研究中,基于ER随机图的超网络模型尚属空白.本文首先在基于超图的超网络结构中引入ER随机图理论,提出了一种ER随机超网络模型,对超网络中的节点超度分布进行了理论分析,并通过计算机仿真了在不同超边连接概率条件下的节点超度分布情况,结果表明节点超度分布服从泊松分布,符合随机网络特征并且与理论推导相一致.进一步,为更准确有效地描述现实生活中的多层、异质关系,本文构建了节点超度分布具有双峰特性,层间采用随机方式连接,层内分别为ER-ER,BA-BA和BA-ER三种不同类型的双层超网络模型,理论分析得到了三种双层超网络节点超度分布的解析表达式,三种双层超网络在仿真实验中的节点超度分布均具有双峰特性.     

Physical Mechanism of Formation of the Bimodal Structure in the Meiyu Front System

The bimodal structure of the Meiyu front system is readdressed after Zhou et al.（2005）. The physical mechanism of the formation of the bimodal distribution is discussed. The bimodal structure of the Melyu front system considerably results from atmospheric moisture gradients, though atmospheric temperature gradients are also not negligible. According to the definition of equivalent potential temperature, and by scale analysis, we find that atmospheric equivalent potential temperature gradients, which could be regarded as an indicator of the Meiyu front system, could be mainly attributed to the variations of atmospheric potential temperature gradients with a scaling factor of 1 and moisture gradients multiplied by a scaling factor of an order of about 2.5 × 10^3, which means that small variations of atmospheric moisture gradients could lead to large variations of equivalent potential temperature gradients, and thus large variations of the Meiyu front system. Quantitative diagnostics with a mesoscale simulation data in the vicinity of the Meiyu front system show that moisture gradients contribute to equivalent potential temperature gradients more than potential temperature gradients.     

Co替代La2／3Ca1／3Mn0．9Co0．1O3输运特性和双峰效应的研究

系统研究了Mn位替代的La2/3Ca2/3Mn0.9Co0.1O3的电输运特性和磁诱导行为,这里替代Co离子的多价态对应有多重的自旋态变化.发现了存在于Co替代La2/3Ca1/3Mn0.9Co0.1O3电输运行为上的双峰效应,具体表现为除了居里温度Tc附近电阻-温度曲线的金属-绝缘(M-I)转变行为(TMIH约为182K)以外,在低温区域电输运行为出现二次性的类M-I转变现象(TMIL乱约为124K).通过对外加磁场下输运特性的研究表明,随外加磁场的增加,电阻-温度曲线整体呈现降低行为,即表现为负的磁电阻效应;同时,高温区峰值温度TMIH向高温区移动,这与传统CMR锰氧化物M-I转变特性完全一致;而低温峰值温度了TMIL则几乎不变,即TMIL表现出某种磁场无关的特征.结合样品磁特性测量结果,我们发现,除了场冷(FC)和零场冷(ZFC)曲线的分叉现象可能证明Co替代诱导Mn位的磁无序而导致体系出现不均匀的铁磁/反铁磁(FM/AFM)团簇外,在低温峰值温度TMIL乱附近没有观察到磁性异常变化.对照对Cu和Cr等相关体系的类似研究,证明这种低温二次M-I转变可能与Co替代导致体系的氧缺陷有关.     

Entanglement for a Bimodal Cavity Field Interacting with a Two-Level Atom

Negativity has been adopted to investigate the entanglement in a system composed of a two-level atom and a two-mode cavity field. Effects of Kerr-like medium and the number of photon inside the cavity on the entanglement are studied. Our results show that atomic initial state must be superposed, so that the two cavity field modes can be entangled. Moreover, we also conclude that the number of photon in the two cavity mode should be equal. The interaction between modes, namely, the Kerr effect, has a significant negative contribution. Note that the atom frequency and the cavity frequency have an indistinguishable effect, so a corresponding approximation has been made in this article. These results may be useful for quantum information in optics systems.     

大功率激光二极管双峰结构远场分布模型

为了合理地设计光学系统以整形激光二极管出射光束,必须准确了解激光二极管的远场分布,然而对于大功率激光二极管仍没有形式简单并且较好反映实际器件特性的光束模型。基于亥姆霍兹方程的严格远场解,提出使用两个离心高斯光束描述场源处平行结平面方向的模式场分布,将其代入严格远场解中得到一种描述大功率激光二极管远场光分布模型．用于描述其双峰远场结构。理论模型与三种实际器件的测量数据进行了比较,曲线主要部分都能很好吻合,并且偏差部分的能量仅占总能量的1％～2％。该模型数学表达形式简单,可以方便地用于研究光束经光学系统后的变换,以及计算光学系统的耦合效率,而且对于定量设计光学整形系统十分有用。     

谐和与随机噪声联合作用下Duffing振子的双峰稳态密度

研究Duffing振子在谐和与随机噪声联合作用下系统响应的双峰稳态概率密度问题．用多尺度法分离了系统的快变项,得到了系统慢变项满足的随机微分方程．用线性化方法求出了双峰稳态概率密度的表达式．数值模拟表明提出的方法是有效的．     

Quantum logic gates operation using SQUID qubits in bimodal cavity

We present a scheme to realize the basic two-qubit logic gates such as the quantum phase gate and SWAP gate using a detuned microwave cavity interacting with three-level superconducting-quantum-interference-device (SQUID) qubit(s), by placing SQUID(s) in a two-mode microwave cavity and using adiabatic passage methods. In this scheme, the two logical states of the qubit are represented by the two lowest levels of the SQUID, and the cavity fields are treated as quantized. Compared with the previous method, the complex procedures of adjusting the level spacing of the SQUID and applying the resonant microwave pulse to the SQUID to create transformation are not required. Based on superconducting device with relatively long decoherence time and simplified operation procedure, the gates operate at a high speed, which is important in view of decoherence.     

温度变化对单模石英光纤受激拉曼散射附加峰的影响

用10 m长单模石英光纤进行受激拉曼散射温度特性研究, 实验中发现在泵浦光和一级Stokes左右出现了附加峰(称为双峰), 其峰强度随温度的升高(80～295 K)呈现先增加后减弱现象。当温度达到295 K时, 一级Stokes双峰消失。由受激四光子混频理论计算可知,这种双峰现象是受激四光子混频的结果。同时对SRS一级Stokes所产生的受激四光子混频的Stokes频移随温度升高由706.9 cm-1增大到712.9 cm-1和其半宽度由1.75 nm增至2.18 nm的现象也进行了解释。