Effect of spatially nonlocal versus local optical response of a gold nanorod on modification of the spontaneous emission

The spontaneous emission rate of a two-level quantum emitter(QE)near a gold nanorod is numerically investigated.Three different optical response models for the free-electron gas are adopted,including the classical Drude local response approximation,the nonlocal hydrodynamic model,and the generalized nonlocal optical response model.Nonlocal optical response leads to a blueshift and a reduction in the enhancement of the spontaneous emission rate.Within all the three models,the resonance frequency is largely determined by the aspect ratio(the ratio of the nanorod length to the radius)and increases sharply with decreasing aspect ratio.For nanorod with a fixed length,it is found that the larger the radius is,the higher the resonance frequency is,and the smaller the enhancement is.However,if the length of the nanorod increases,the peak frequency falls sharply,while the spontaneous emission enhancement grows rapidly.For nanorod with a fixed aspect ratio,the peak frequency decreases slowly with increasing nanorod size.Larger nanorod shows smaller nonlocal effect.At a certain frequency,there is an optimal size to maximize the enhancement of the spontaneous emission rate.Higher order modes are more affected by the nonlocal smearing of the induced charges,leading to larger blueshift and greater reduction in the enhancement.These results should be significant for investigating the spontaneous emission rate of a QE around a gold nanorod.     

三维声子晶体带结构研究

运用平面波展开法计算由长方体散射物以面心立方结构排列于基体中形成的三维声子晶体的带结构,研究不同组分材料、散射物的填充率和长方体散射物的高与长之比 R_(HL)对带隙的影响.结果表明,将质量密度和波速大的散射体放在质量密度和波速小的基体中所形成的三维(面心立方)固态声子晶体有利于带隙的产生；散射体的填充率为中间值时带隙最宽；散射体的对称性强烈影响带隙,当 R_(HL)大于等于1时,带隙宽度随 R_(HL)的增加而减小,相反,当 R_(HL)小于1时,带隙宽度随 R_(HL)的增加而增加.     

高对称型声子晶体自准直弯曲及分束

基于二维六方晶格声子晶体的高对称性, 通过裁剪声子晶体模型, 实现声波自准直束60°和120°全反射弯曲, 证实点源声波的准直弯曲和亚波长成像. 在六方晶格声子晶体中引入线缺陷, 实现自准直束的60°和120°弯曲及分裂, 详细分析了缺陷尺寸对入射准直束的60°(或120°)弯曲声束与透射声束能量分配的影响. 本文的工作可以使基于自准直效应的应用更加灵活.     

在一维均匀铁磁链中磁振动的内禀局域模

利用多标度方法和准离散近似,我们考察了在一维均匀铁磁链中磁振动的内禀局域模; 结果表明磁振动的内禀局域模在许多方面都与晶格振动的内禀局域模相类似;它们是近邻自旋之间非线性相互作用的结果.这种内禀局域模的存在并没有破坏系统的平移对称性,它们能在任何晶格位被激发.它们的量子本征频率在简谐磁振动频带的上方.     

Non-Markovian dynamics of two non-coupled qubits interacting with two separate reservoirs with different spectral densities

The dynamics of two non-coupled qubits independently interacting with their reservoirs is solved by the time convolutionless projection operator method. We study two-qubit quantum correlation dynamics for two different types of spectral densities, which are a Lorentzian distribution and an Ohmic spectral density with a Lorentzian-Drude cutoff function. For two qubits initially prepared in the initial Bell state, quantum discord can keep longer time and reach larger values in nonMarkovian reservoirs for the first spectral distribution or by reducing the cutoff frequency for the second case. For the initial Bell-like state, the dynamic behaviors of quantum discord and entanglement are compared. The results show that a long time of quantum correlation can be obtained by adjusting some parameters in experiment and further confirm that the discord can capture quantum correlation in addition to entanglement.     

二能级系统的马尔可夫与非马尔可夫方法比较

分别用马尔可夫与非马尔可夫方法推导出二能级系统与库相互作用的耗散动力学,并把失谐谱密度与一个光子带隙的谱密度下的计算结果与精确解进行比较。对于失谐谱密度,分别讨论在马尔可夫与非马尔可夫库的激发态布居数,发现无论是短时的弱耦合区域,还是长时间的强耦合区域,非马尔可夫方法比马尔可夫方法更加接近精确解,而马尔可夫近似主要适用于弱耦合条件;对于光子带隙谱密度,主要考虑了小带宽的布居数,结果显示马尔可夫方法主要适用于弱耦合条件,而非马尔可夫方法主要适用于强耦合情形。结果表明:对于不同谱密度、不同的耦合区域,只有选择合适的马尔可夫或非马尔可夫方法才能精确描述系统的动力学。     

导电球简立方格子有效介电常数的计算

基于MaxwellWagner模型,推导出有效介电常数关于颗粒体积比的一系列正幂项解析表达式,计算导电球颗粒悬浮于介质或导电液体中构成的简立方格子结构的有效介电常数.数值计算结果表明:在高频条件下(0.1～1.0kHz),有效介电常数主要由导电球颗粒与液体的介电常数比决定,而在低频或直流条件下,导电球颗粒与液体电导率比则起主要作用;有效介电常数的虚数部分有时会很大,即电流变液中的电致损耗有时会相当强,在设计高性能的电流变液时,体系的电导率效应不能忽略.     

二维声子晶体带结构研究

声子晶体是近十年来提出的新课题，对声子晶体带结构的研究具有理论和应用价值。论文介绍了用平面波展开法计算二维正方点阵的固体／固体声子晶体带隙的方法，并应用于各向同性的铅柱体填充物以正方点阵排列于各向同性的环氧树脂基体中所形成的二维双组分复合体系。计算了柱体横截面是长方形时晶体的带隙，结果发现随着长方形截面的长宽比（l1／l2≥1时）的增加，带隙宽度逐渐减小，最后消失。     

小尺寸Ⅳ族材料拉曼谱与晶体结构的研究

以键弛豫理论和核壳模型为基础,建立尺寸-键参数-拉曼谱三者统一的函数关系式,得到了不同尺寸下的Ⅳ族材料键长、键能和配位数。阐明了小尺寸下的Ⅳ族材料拉曼谱发生红移是由于有效配位数缺失引起的。通过这一理论方法可以得到拉曼谱中含有的物理信息,极大地扩展拉曼散射技术的应用范围。