杨图方法计算辫子群的不可约表示

本文应用辫子群表示的杨图理论,计算给出了辫子群的部分不可约表示.

辫子群的全部二维不可约表示

通过直接解矩阵方程给出了Bn群的全部二维不可约表示．

辫子群表示的杨图理论

本文讨论了辫子群Bn的矩阵表示问题.基于辫子群Bn与置换群Sn的联系,通过对Sn群表示理论的推广,建立了求解Bn群表示矩阵的杨图理论.

稠密V型介质中双色飞秒脉冲及频谱演化的RCEP调制

利用不含慢变振幅近似和旋波近似的全波Maxwell-Bloch方程组的数值解,研究单光子共振和失谐两种条件下,相对载波包络相位(RCEP)对在稠密V型三能级原子介质中传播的双色sech型飞秒超短脉冲及频谱演化的影响.结果表明,RCEP对双色脉冲的传播形式及频谱特性的调制在失谐情况比在单光子共振情况显著,在失谐条件下调节RCEP可获得比单光子共振条件下大得多的频谱展宽,出现了最高频率达到入射脉冲中心频率18倍的超连续谱.

辫子群B_n的一些重要表示

本文求得了辫子群B_n的一维、二维以及三个受限制的B_3群的所有不可约表示。

Effect of spontaneously generated coherence on inversionless lasing gain in an atomic system with Doppler broadening

We have studied the effect of the spontaneously generated coherence （SGC） on gain of lasing without inversion （LWI） in a closed three-level A-type atomic system with Doppler broadening. It is shown that, regardless of the driving and probe fields being co- or counter-propagating, at a suitable value of the Doppler width, we can obtain a much larger LWI gain with SGC than that without SGC; and the region of the LWI gain spectrum with SGC is obviously larger than that without SGC. When the Doppler width takes a constant value, the gain does not monotonically decrease or increase with increasing strength of SGC, the largest LWI gain can be obtained by adjusting strength of SGC. Generally speaking, the co-propagating probe and driving fields is favourable to obtain a larger LWI gain.

Phase modulation of propagation effect with Doppler broadening

This paper studies the propagation effect in a closed lambda-type three-level atomic system with Doppler broadening. It is shown that, Doppler broadening due to atomic motion and propagation effect associated with driving field depletion along the active medium decreases obviously the gain and output of the lasing without inversion （LWI）; the relative phase between the probe and driving fields has a remarkable modulation role to the propagation effect on LWI when Doppler broadening presents; by choosing suitable value of the relative phase, we can get the largest gain and output of LWI.

Effects of relative phase on transient evolution in an open resonant ladder-type atomic system

In an open ladder-type resonant atomic system, variation in relative phase between probe and driving fields does not affect the transient evolution of populations, but it has remarkable effects on gain and dispersion of the probe field. No matter whether an incoherent pump is present or absent, transient and stationary gains without inversion （GWI） always can be obtained by choosing an appropriate value of the relative phase. When the incoherent pump is absent, the values of transient and stationary GWIs are much larger and the time interval required to reach the stationary value is longer than those when the incoherent pump is present. Varying the exit rate and the ratio between injection rates can obviously change the phase-dependent GWI. In addition, in the transient evolution process, the phenomenon of high dispersion （refractive index） without absorption occurs at some values of relative phase. In the corresponding closed system, the stationary GWI can be obtained by choosing an appropriate value of relative phase only when incoherent pump exists, moreover the gain is smaller than that in the open system.

Comparison between effects of Doppler broadening on pure and non-pure inversionless gain with frequency up-conversion

A study is made of the effects of Doppler broadening on pure gain without inversion, which means that neither one-photon nor two-photon inversions are allowed, and non-pure gain without inversion, which means that one-photon inversion does not occur but two-photon inversion is present, in a closed A-type three-level system with incoherent pumping. It is shown that when the driving field is resonant but the probe field is not, in a certain range of Doppler width, for the case of the lower degree of frequency up-conversion, generally, pure gain without inversion increases monotonically and non-pure gain without inversion does not monotonically increase or decrease with increasing Doppler width; for the case of the higher degree of frequency up-conversion, pure gain without inversion decreases monotonically but non-pure gain without inversion cannot be produced. In the case of two-photon resonance, in some range of Doppler width, pure gain without inversion does not monotonically increase or decrease while non-pure gain without inversion decreases monotonically with Doppler width increasing. Finally, an experimental scheme for examining our theoretical result is given.

the phase-dependent gain without inversion in a Doppler broadened open four-level system

It is shown that in a Doppler broadened open N-type four-level atomic system with spontaneously generated coherence （SGC）, the gain without inversion （GWI） is very sensitive to the variation of the relative phase between the probe field and the driving field; the atomic exit rate （R0） and the ratio （S） of the atomic injection rates have a considerable modulation effect on the phase-dependent GWI. GWI first increases and then decreases with R0 increasing; in a certain value range of S, GWI increases monotonically with S increasing; by adjusting the values of R0 and S, in an open system a much larger GWI can be obtained than in the corresponding closed system [2011 Phys. Rev. A 83 043805]. The modulation effects of R0 and S on the phase-dependent GWI in the case with the counter-propagating probe and driving fields are stronger than those in the co-propagating case, GWI in the co-propagating case is much larger than that in the counter-propagating case.

Inversionless gain enhancing due to Doppler broadening in a closed lambda-type system

An analysis is made of the effect of Doppler broadening on gain without inversion （GWI） from different aspects in a closed lambda-type three-level system with an incoherent pump. It is shown that, regardless of the driving field being on resonance or not, for the counter- or co-propagating of the probe and driving fields （PDF）, GWI does not monotonically decrease or increase with increasing Doppler width. Except for the case of counter-propagating PDF with off-resonance driving field, at a suitable Doppler width one can obtain a gain maximum value much larger than that without Doppler broadening; especially in the situation of the resonant driving field, the co-propagating geometry leads to a larger GWI. In addition, for the counter-propagating geometry, when Doppler width is larger enough, GWI oscillation occurs, and the oscillation amplitude and region increase with increasing Doppler width. These conclusions are very different from that obtained in previous investigation （Lukin et al, Laser Phys. 6 436 （1996））.

Population transfer by femtosecond laser pulses in a ladder-type atomic system

The population transfer in a ladder-type atomic system driven by linearly polarized sech-shape femtosecond laser pulses is investigated by numerically solving Schr6dinger equation without including the rotating wave approximation （RWA）. It is shown that population transfer is mainly determined by the Rabi frequency （strength） of the driving laser field and the chirp rate, and that the ratio of the dipole moments and the pulse width also have a prominent effect on the population transfer. By choosing appropriate values of the above parameters, complete population transfer can be realized.

Quantum State Transfer among Three Ring-Connected Atoms

A robust quantum state transfer scheme is discussed for three atoms that are trapped by separated cavities linked via optical fibers in a ring connection. It is shown that, under the effective three-atom Ising model, an arbitrary unknown quantum state can be transferred from one atom to another deterministically via an auxiliary atom with maximum unit fidelity. The only required operation for this scheme is replicating turning on/off the local laser fields applied to the atoms for two steps with time cost √2π/Γ0. The scheme is insensitive to cavity leakage and atomic position due to the condition Δ≈κ》g. Another advantage of this scheme is that the cooperative influence of spontaneous emission and operating time error can reduce the time cost for maximum fidelity and thus can speed up the implementation of quantum state transfer.

Dynamics of Open Systems with Affine Maps

Many quantum systems of interest are initially correlated with their environments and the reduced dynamics of open systems are an interesting while challenging topic. Affine maps, as an extension of completely positive maps, are a useful tool to describe the reduced dynamics of open systems with initial correlations. However, it is unciear what kind of initial state shares an affine map. In this study, we give a sumcient condition of initial states, in which the reduced dynamics can always be described by an affihe map. Our result shows that if the initial states of the combined system constitute a convex set, and if the correspondence between the initial states of the open system and those of the combined system, defined by taking the partial trace, is a bijection, then the reduced dynamics of the open system can be described by an affine map.

A Solved Model to Show Insufficiency of Quantitative Adiabatic Condition

The adiabatic theorem is a useful tool in processing quantum systems slowly evolving, but its practical application depends on the quantitative condition expressed by Hamiltonian＇s eigenvalues and eigenstates, which is usually taken as a sufficient condition. Recently, the sufficiency of the condition was questioned, and several counterexamples have been reported. Here we present a new solved model to show the insufficiency of the traditional quantitative adiabatic condition.

Modulation of atomic exit and injection rates on the phase-dependent gain without inversion in a Doppler broadened open four-level system

It is shown that in a Doppler broadened open N-type four-level atomic system with spontaneously generated coherence (SGC), the gain without inversion (GWI) is very sensitive to the variation of the relative phase between the probe field and the driving field; the atomic exit rate (R0) and the ratio (S) of the atomic injection rates have a considerable modulation effect on the phase-dependent GWI. GWI first increases and then decreases with R0 increasing; in a certain value range of S, GWI increases monotonically with S increasing; by adjusting the values of R0 and S, in an open system a much larger GWI can be obtained than in the corresponding closed system [2011 Phys. Rev. A 83 043805]. The modulation effects of R0 and S on the phase-dependent GWI in the case with the counter-propagating probe and driving fields are stronger than those in the co-propagating case, GWI in the co-propagating case is much larger than that in the counter-propagating case.

辫子群的双参数不可约表示

在广义的Conway条件下,引入双参数完备算符集,借助杨图,给出了B_n群的双参数不可约表示。

Doppler展宽的封闭原子系统中无反转增益的相位控制

研究了在具有自发辐射诱导相干性的Doppler展宽的封闭Λ型三能级系统中探测场和驱动场之间的相对位相对探测场无反转增益的控制作用.研究结果表明:1)不管探测场和驱动场是同向传播还是反向传播,驱动场是失谐还是共振,无反转增益总是随相对位相的改变而作周期性变化,周期为2π.2)驱动场共振时,无反转增益极大值随Doppler展宽值的增大而单调减小,且反向传播时比同向传播时减小的速度更快;驱动场失谐时,无反转增益的极大值随Doppler展宽值的增大不再单调地减小或增大.在以上两种情况下,均可以通过调节相对相位的数值而得到最大的无反转增益.3)自发辐射诱导相干性对无反转增益的贡献远大于动力学相干性的贡献.

^(84)Rb的高自族态研究

利用75MeV的18O束流，通过70Zn（18O，p3n）反应布居了84Rb核的高自旋态，测量了激发函数，γ－γ符合及DCO比值，新观察到了40个能级，50多条γ跃迁，建立了到目前为止最完整的能级纲图，其正负宇称分别推高到了17+和17-．通过与Rb各奇-奇同位素核和N＝47的各奇-奇核比较，发现它们的结构非常相似．

Ξ型介质中相对载波包络相位对脉冲特性的影响

利用数值模拟方法,研究了单光子共振及完全非共振情况下相对载波包络相位(RCEP)φ对在Ξ型三能级原子介质中传播的双色超短脉冲波形及频谱特性的影响。结果表明:在单光子共振情况中,RCEP对双色脉冲的传播形式及频谱特性有显著的控制作用。RCEP的大小可以决定脉冲振幅大小、传播速度快慢、脉冲分裂与否及子脉冲数目多少。当φ=π时,在传播过程中,脉冲不再发生分裂,而且脉冲的形状和强度基本保持不变。在完全非共振条件下,脉冲分裂不再发生,比单光子共振情况的频率范围大得多的超连续谱可以被得到。虽然RCEP对脉冲形式和频谱特性的影响不如单光子共振时那样强烈,但改变值φ仍可以使频谱范围及不同频率的强度分布有明显的改变。当φ=0时,可得到频谱更宽、连续性更好、高频分量强度更大的超连续谱。