Algebraic approach and coherent states for a relativistic quantum particle in cosmic string spacetime

We study a relativistic quantum particle in cosmic string spacetime in the presence of a magnetic field and a Coulomb-type scalar potential. It is shown that the radial part of this problem possesses the su(1,1)$su(1,1)$ symmetry. We obtain the energy spectrum and eigenfunctions of this problem by using two algebraic methods: the Schrödinger factorization and the tilting transformation. Finally, we give the explicit form of the relativistic coherent states for this problem.     

全光纤激光相干合成光谱响应特性研究

基于N-腔镜谐振腔理论对全光纤激光相干合成进行了理论分析，数值模拟了迈克尔逊型相干合成激光器的光谱特性，对两个光纤Bragg光栅的中心波长差和两路光的光程差对合成光谱特性的影响给出了理论解释.用啁啾光纤光栅取代其中一个光纤Bragg光栅，使激光相干合成的带宽由0.3 nm拓展到1.0 nm.     

Coherent control of stimulated emission inside one dimensional photonic crystals: strong coupling regime

The present paper discusses the stimulated emission, in strong coupling regime, of an atom embedded inside a one dimensional (1D) Photonic Band Gap (PBG) cavity which is pumped by two counter-propagating laser beams. Quantum electrodynamics is applied to model the atom-field interaction, by considering the atom as a two level system, the e.m. field as a superposition of normal modes, the coupling in dipole approximation, and the equations of motion in Wigner-Weisskopf and rotating wave approximations. In addition, the Quasi Normal Mode (QNM) approach for an open cavity is adopted, interpreting the local density of states (LDOS) as the local density of probability to excite one QNM of the cavity; and therefore rendering this LDOS dependent on the phase difference of the two laser beams. In this paper we demonstrate that the strong coupling regime occurs at high values of the LDOS. In accordance with the results of the literature, the emission probability of the atom decays with an oscillatory behaviour, so that the atomic emission spectrum exhibits two peaks (Rabi splitting). The novelty of this work is that the phase difference of the two laser beams can produce a coherent control of both the oscillations for the atomic emission probability and, as a consequence, of the Rabi splitting in the emission spectrum. Possible criteria to design active delay lines are finally discussed.     

Semiclassics around a phase space caustic: An illustration using the Nelson Hamiltonian

The semiclassical formula for the coherent-state propagator is written in terms of complex classical trajectories of an equivalent classical system. Depending on the parameters involved, more than one trajectory may contribute to the calculation. Eventually, however, two contributing trajectories coalesce, characterizing what is called phase space caustic. In this case, the usual semiclassical formula for the propagator diverges, so that a uniform approximation is required to avoid this singularity. In this Letter, we present a non-trivial numerical application illustrating this scenario, showing the accuracy of the uniform formula that we have previously derived.     

Controlling phonon squeezing and correlation via one- and two-phonon interference

When ultrafast laser pulse strikes the crystal with a van Hove singularity in the phonon density of states, it can create a pair of anti-correlated in wave-vector phonons. As a result, the atomic fluctuations in either position or momentum become squeezed in such a way that their size might fall below the vacuum level. The ultrafast pulses can also generate a biphonon state in which the constituent phonons are correlated and/or entangled. Here we show that via the interplay between one- and two-phonon interference the bound and squeezed two-phonon state in (110) oriented ZnTe single crystal can be manipulated.     

Uncertainty relations for a q-deformed coherent spin state

A Coherent Spin State (CSS) is defined as an eigenstate of the spin component in the direction specified by angles (θ₀,?₀). This state satisfies minimum uncertainty relation, with uncertainties equally distributed on any two orthogonal components normal to the direction of the total spin vector 〈S〉. Starting from this concept, we apply the notion of CSS to quantum groups and discuss the properties of q-deformed CSS and the associated uncertainty relations. We show that these states behave as Intelligent Spin States (ISS) on two orthogonal components normal to the direction of the mean value of the spin operator.     

An experimental study on cross-section ratio of coherent to incoherent scattering for 145 keV incident gamma photons

The coherent (Rayleigh) to incoherent (Compton) scattering cross-section ratio of elements, in the range 6 ≤ Z ≤ 82, are determined experimentally for 145 keV incident gamma photons. An HPGe (High purity germanium) semiconductor detector is employed, at scattering angle of 50°, 70° and 90°, to record the spectra originating from interactions of incident gamma photons with the target under investigation. The intensity ratio of Rayleigh to Compton scattered peaks observed in the recorded spectra, and corrected for photo-peak efficiency of gamma detector and absorption of photons in the target and air, along with the other required parameters provides the differential cross-section ratio. The measured values of cross-section ratio are found to agree with theoretical predictions (corresponding to 4.939, 6.704 and 8.264 Å⁻¹ photon momentum transfer) based upon non-relativistic form factor, relativistic form factor, modified form factor and S-matrix theory.     

用于快点火研究的超短脉冲的相干合成

 利用傅里叶光学方法，建立了一个基于远场的多束超短脉冲相干合成的理论模型。研究了一个口径为50 cm，脉宽为1 ps的超短脉冲相干合成系统的各种误差对脉冲远场时域和空域特性的影响。结果表明：若要求远场的一倍衍射极限区域的积分能量分布达到理想情况下的90％，该系统的相位延迟误差小于0.63，沿x方向角度误差小于0.37 μrad，沿y方向角度误差小于0.34 μrad；若要求远场叠加脉冲的时域展宽小于25％，系统的剩余啁啾因子应小于1.32(不考虑相位延迟)或1.52(考虑0.63的相位延迟)。     

量子相干控制化学反应的进展和机遇

1995年 ,人们曾预言“量子控制多体动力学将成为化学物理的主流”(引自第 2 0届Ｓｏｌｖａｙ化学会议上ＳｔｕａｒｔＡ .Ｒｉｃｅ的主旨演说 .Ｓｏｌｖａｙ会议是研讨未来科学的高级会议 .这一届会议的主题是“光化学 :化学反应及其飞秒尺度上的控制”) .现在 ,我们看到了这股潮流正源源而来 ,每年都不断地在Ｎａｔｕｒｅ、Ｓｃｉｅｎｃｅ等杂志上刻下了里程碑 .人们一直希望控制化学反应的方向和历程 .早期的控制是被动的控制 ,即通过把握反应的宏观条件 (如温度、压力等 )或者选择适当的催化剂去实现 .自从分子反应动力学发展之后 ,人们在…