级联三能级模型下超短脉冲激光与分子相互作用的动力学研究

通过求解麦克斯韦-布洛赫方程，研究了超短脉冲激光和一维对称π共轭分子材料(4,4′-二甲氨基二苯乙烯分子)的相互作用.该分子材料具有较强的非线性光学性质，其分子的电子结构和电偶极矩是在密度泛函理论水平上利用从头计算方法得到的.研究结果表明，慢变幅近似和旋波近似不能很好地描述超短脉冲在该分子介质中的传播.在单光子共振情况下，保持入射脉冲的脉冲宽度不变，当小面积脉冲在该分子介质中传播时，二能级模型可以较好地描述脉冲激光与该分子体系的相互作用过程.但对于大面积脉冲激光，由于较明显地产生了分子的二次激发，此时分子 关键词： 超短脉冲激光 4′-二甲氨基二苯乙烯分子 三能级模型 麦克斯韦-布洛赫方程     

纠缠相干光场对量子态最大演化速率的操控

考虑双模纠缠相干光场,将其中一束光场注入腔中与一个二能级原子发生共振相互作用,根据腔量子电动力学理论推导出原子系统的演化态.针对原子系统初始状态到目标演化态的动力学过程,利用量子速率极限时间概念来表征原子系统量子态的最大演化速率.通过调节双模纠缠相干光场的相干参数来操控原子系统量子态动力学过程中所能达到的最大演化速率.结果发现:与原子发生相互作用光场的相干参数在一定条件下可以对系统量子态的最大演化速率产生明显的影响;并且当该光场参数不能很好地来操控量子态的最大演化速率时,双模纠缠相干光场间的量子关联可以实现未参加相互作用光场参数对原子系统量子态最大演化速率的远程调控.     

光场-原子BEC相互作用系统的量子相关性质

运用全量子理论,在Bogoliubov近似下研究了光场与二能级原子玻色-爱因斯坦凝聚体(BEC)相互作用系统的量子相关性质,结果表明:光场和原子玻色-爱因斯坦凝聚体在相互作用过程中,其量子相关性质保持不变.     

超短光脉冲作用下的二能级原子

考虑到光场的振幅随时间分布的影响时,我们重新研究了光场与二能级原子相互作用的跃迁几率问题。在强光信号作用下,经过一定的数学代换后,上能级几率的求解可归结为类希尔方程求解;在弱光信号作用下,利用转动波近似(RWA),给出了二能级原子跃迁几率的解析表达式,并讨论了几种典型脉冲光场的分布。     

虚光场对玻色-爱因斯坦凝聚体与二项式光场相互作用系统中光场压缩性质的影响

在二项式光场和二能级原子玻色-爱因斯坦凝聚体相互作用系统中, 应用全量子理论, 分别在旋波近似和非旋波近似下, 研究了光场的压缩特性以及原子本征频率、原子-光场的耦合系数、光场参数以及虚光场对系统光场压缩特性的影响. 研究表明, 光场的两个正交分量均被周期性压缩, 光场压缩持续时间与原子的本征频率有关, 压缩深度与二项式光场概率分布参数和虚光场有关, 光场与原子的耦合系数决定了光场涨落的崩塌-回复频率. 关键词： 量子光学 玻色-爱因斯坦凝聚 虚光场 光场压缩     

虚光场对光场与玻色-爱因斯坦凝聚体相互作用系统中光场压缩性质的影响

在压缩真空态光场和二能级原子玻色-爱因斯坦凝聚体相互作用系统中, 应用全量子理论, 采用非旋波近似, 研究了光场的压缩特性以及原子本征频率、原子-光场的耦合系数、光场初始压缩因子以及虚光场对系统光场压缩特性的影响. 研究表明, 光场的两个正交分量均被周期性压缩, 其压缩深度与光场初始压缩因子有关, 光场与原子的耦合系数决定了光场的量子崩塌-回复频率,虚光场效应使得光场的压缩深度增强.     

虚光场对双模压缩真空场与原子相互作用系统中光子统计性质的影响

研究了非旋波近似下双模压缩真空场与二能级原子相互作用系统中光子的统计性质,着重讨论了虚光场效应对光子统计性质的影响.数值计算结果表明,虚光场对光子统计性质的影响主要表现为量子噪声,量子噪声的大小依赖于光场的初始压缩因子和原子的初始状态,且与原子光场耦合强度有关. 关键词： 非旋波近似 双模压缩真空场 二能级原子 光子统计性质     

多能级原子与多模光场的相互作用机理研究

研究了多能级原子与多模光场的相互作用.探讨了旋波近似下N能级原子与(N-1)模光场相互作用演化规律，给出了相互作用绘景中其相应的Schrdinger方程的解析通式，分析了三能级原子、四能级原子分别与双模、三模光场相互作用的演化规律.研究结果表明：当原子初始时刻处于基态时，三能级原子与四能级原子的基态概率幅具有相同的变化规律. 关键词： 多能级原子 多模光场 旋波近似     

用激光-二能级原子系统实现一位通用量子逻辑门

使用代数动力学方法，对激光-二能级原子系统的含时薛定谔方程进行求解.该系统哈密顿量具有SU(2)代数结构，得到了严格解.基于严格解，适当调节单模激光场的频率和振幅以及短脉冲激光与二能级原子的二阶虚光子作用强度，可实现一位通用量子逻辑门. 关键词： 代数动力学 激光-二能级原子系统 一位量子逻辑门     

超短脉冲激光在有机分子材料中的动力学过程研究

利用从头计算方法，在密度泛函理论上，计算了分子的电子结构和电偶极矩.通过求解麦克斯韦-布洛赫方程，研究了超短脉冲激光与硝基苯胺分子材料的相互作用，着重分析了分子的固有偶极矩对脉冲激光波形、频谱成分以及分子能级占有率产生的影响.研究结果表明，慢变幅近似和旋波近似不能很好地描述超短脉冲在PNA分子介质中传播.分子的固有偶极矩进一步使脉冲传播背离面积定理，引起了脉冲更快地分裂.当脉冲激光在PNA分子介质中以电荷转移态的激发能共振传播时，脉冲激光频谱中明显地出现了二次谐波成分，显示了该分子具有较强的双光子吸收性质. 关键词： 超短脉冲激光 硝基苯胺分子 麦克斯韦-布洛赫方程     

Influence of atomic densities on propagation property for ultrashort pulses in a two-level medium

The influence of atomic densities on the propagation property for ultrashort pulses in a two-level atom (TLA) medium is investigated. With higher atomic densities, the self-induced transparency (SIT) cannot be recovered even for 2π ultrashort pulses. New features such as pulse splitting, red-shift and blue-shift of the corresponding spectra arise, and the component of central frequency gradually disappears.     

Calculation of the probability of photoprocesses induced by ultrashort electromagnetic pulses

An expression for the total probability of photoprocesses induced by ultrashort electromagnetic pulses in terms of the excited transition cross-section has been derived by using perturbation theory. The expression obtained is valid for any radiation spectral width and for various types of transition: bound-bound and bound-free. By way of illustration the excitation of a two-level system by an ultrashort pulse with a controlled carrier–envelope phase and the photoionization of a hydrogen atom under the action of a sequence of two-cycle electromagnetic pulses are considered.     

Modified optical bloch equations in nonlocal systems of two-level atoms interacting with ultrashort light pulses

Modified optical Bloch equations for two-level atoms in the radiation field with the complex polarization vector, the complex amplitude, and the complex wave vector are derived. A specific case is considered in which a field of this kind acts on a separate atom of a nonlocal atomic system. The solution of the modified equations for the interaction of atoms with ultrashort light pulses is obtained.     

On a physical implementation of logical operators NOT and CNOT in a two-qubit quantum computer controlled by ultrashort optical pulses

It is shown that it is preferable to perform quantum computations on a system of two-level atoms with metastable states using optical dipole transitions that occur under the effect of ultrashort light pulses. It is suggested to measure the quantum information that is passed to qubits using Bloch, rather than pure, quantum states of two-level atoms. Moreover, the inversion of atoms can be used as the measure of quantum information. In order to describe the logical operators NOT and CNOT in the system of interacting two-level atoms (qubits), modified optical equations for the Bloch vectors of individual qubits are derived. These equations are solved in combination with field equations, without using the slowly varying amplitude approximation, for a small two-qubit system in the field of ultrashort intense optical pulses of arbitrary shape. A numerical analysis of the solution shows that it is possible to control the recording of information on individual qubits in a small quantum system of a dimension much smaller than the length of the optical wave by smoothly varying the irradiation conditions of qubits.     

Numerical Analysis of Induced Phase Modulation between Two Ultrashort Pulses in Silica Fiber by the Extended Finite-Difference Time-Domain Method

We have analyzed the induced phase modulation (IPM) for ultrashort (74 fs) two-pulse propagation in a silica fiber by the extended finite-difference time-domain (FDTD) method, considering all exact Sellmeier-fitting values and nonlinear polarization P_NL involving the Raman response function. We show that nonlinear polarization causes several phenomena in spectral characteristics of propagated pulses, such as self-phase modulation (SPM), self-steepening, Raman response and IPM, by the extended FDTD method. To the best of our knowledge, this is the first IPM calculation by the extended FDTD method for the simultaneous propagation of two ultrashort (74 fs) laser pulses in a silica fiber.     

Small-area ultrashort pulse propagation through a three-level medium

Propagation of an ultrashort, small-area (circularly polarized) pulse through a gas medium of three-level atoms near one-photon resonance is studied. The expression for the propagating pulse shape is obtained within the rotating wave and dipole approximations. Results are compared, both analytically and numerically, with those for two-level model. Sinusoidal and Gaussian shapes of input pulses are compared, and a high sensitivity of modulation of the light pulse for envelope to its input shape is revealed.     

Rabi frequency and optical Bloch equations for a short femtosecond optical pulse

We investigate the interaction of a multilevel atom with a short femtosecond optical pulse beyond the scope of the rotating-wave approximation. We consider the behavior of a three-level atom under the action of two optical pulses resonant with two allowed transitions and a two-level atom under the action of a resonant optical pulse. It is shown that the imaginary part of the off-diagonal elements of the density matrix oscillates with high frequency due to the counter-rotating terms. It is shown also that an effective time-dependent addition to the Rabi frequency exists, which is of importance for ultrashort optical pulses.     

Ultrashort optical pulses in two-level systems with Coulomb interaction and defects

The dynamics of an ultrashort optical pulse in an ensemble of two-level systems (in particular, in the presence of defects) is considered in the framework of the microscopic pseudospin formalism without limitation on the pulse power in the approximation of unidirectional propagation. The effective equations for the electric field amplitude and polarization of two-level systems are derived and solved numerically. Quasi-soliton modes of propagation of ultrashort optical pulses are revealed and the dependences on the macroscopic Hamiltonian parameters are analyzed. The effect of various types of defects on the propagation of ultrashort pulses is detected.     

Synchronization of Raman transitions in highly excited hydrogen atoms: A new proposal for measuring the Rydberg constant

We present an analysis of the Raman interaction between a Rydberg atom and ultrashort light pulses. An application of the synchronization of quantum transitions to a simple atomic system (the hydrogen atom) is demonstrated. This is a direct way of measuring times and frequencies of microwave transitions between the high-lying atomic states using ultrashort light pulses. The results and analysis represent a new method for measuring the Rydberg constant.     

Modeling of dynamics of a femtosecond Kerr-lens mode-locked laser by the mode decomposition of the intracavity beam

A full spatio-temporal model is used for analyzing the features of generation of femtosecond pulses in a Kerr-lens mode-locked laser. The developed algorithm involves the field decomposition in terms of Laguerre-Gaussian functions which are the modes of empty space. Polarization of the medium is calculated from the Bloch equations for the two-level transition. With allowance for the frequency-dependent diffraction, such a method allows us to describe generation of pulses with a duration of several femtoseconds. It is shown that diffraction results in a shift of the carrier frequency of sub-10-fs pulses toward shorter wavelengths. A multiple-pulse oscillation regime can be realized near zero group-velocity dispersion in the cavity. It is shown that such a regime can be realized in the absence of higher-order dispersion. Strong coupling between the spatial and temporal characteristics of the field is observed for the pulses with a duration of several femtoseconds. This leads to a complicated dependence of the beam size on its power and, therefore, to a complicated variation in power-dependent losses. Due to this feature, regimes of generation of ultrashort pulses cannot be correctly described by models in which power-dependent losses are introduced artificially.