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Entangled trajectories based on Wigner function with negative values 基于负值Wigner函数的纠缠轨迹
Pub Date : 2016-11-01 DOI: 10.4208/JAMS.060916.083116A
Hongzheng Zhao, Y. Zheng
Wigner function is a fundamental method to study the connection between quantum and classical system. Since negative value can be accepted by Wigner function even from a positive initial condition, they are various issues existing in corresponding interpretation as well as the development of numerical methods. We present the entangled trajectories based on the Wigner distributions with negative values. PACS: 03.65.Sq, 03.67.Mn, 34.10.+x
维格纳函数是研究量子系统与经典系统联系的基本方法。由于Wigner函数即使在正初始条件下也可以接受负值,因此它们是在相应的解释和数值方法的发展中存在的各种问题。我们提出了基于负维格纳分布的纠缠轨迹。pac: 03.65。平方,03.67。锰、34.10 + x
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引用次数: 0
Photon statistical properties emitted from single molecule derived from generating function method 用生成函数法推导了单分子发射光子的统计特性
Pub Date : 2016-11-01 DOI: 10.4208/JAMS.052516.081516A
Baiping Han
In this paper, we summarize the photon emission statistical properties of single molecule system, using the recently developed generating function method. Through the introduce of one or double “auxiliary” variables, we can investigate the first moment and second moment of photon emission statistics driven by different external fields, such as the line shapes and Mandel’s Q parameters, the photon emission probabilities, the probability distribution of time between successive emission, the waiting time and the waiting time distribution, the cross correlation, the joint probabilities, etc. Among,the first moment of photon statistics and the experimental results of optical amplification are in good agreement. PACS: 33.50.Dq, 42.50.Ar
本文利用近年来发展起来的生成函数方法,总结了单分子系统的光子发射统计特性。通过引入一个或两个“辅助”变量,我们可以研究不同外场驱动下光子发射统计的一阶矩和二阶矩,如线形和曼德尔Q参数、光子发射概率、连续发射间时间的概率分布、等待时间和等待时间分布、相互关系、联合概率等。其中,光子第一矩的统计结果与光学放大的实验结果吻合较好。pac: 33.50。Dq, 42.50.Ar
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引用次数: 0
Time evolution of Wigner function in dissipative quantum systems using entangled trajectory molecular dynamics 耗散量子系统中Wigner函数的纠缠轨迹分子动力学时间演化
Pub Date : 2016-11-01 DOI: 10.4208/JAMS.053016.072116A
Lifei Wang, Yan Wang, Qin Zhang, Haibo Sun, Juan Zhao
Abstract. The dissipative quantum systems are treated using Klein-Kramers equation, combined with the Gaussian kernel trajectory ensemble, for time evolution of Wigner function ρw(q,p,t) in phase space. The entangled trajectory molecular dynamics approach is used to obtain trajectory solutions for the Klein-Kramers equation with three models: free particle, damped harmonic oscillator andmetastable potential. It is found that the performance of semiclassical Wigner propagation is effectively for the relaxation of damped harmonic oscillator and dissipative decay of a metastable state. In addition, the energy of trajectory ensemble decays faster with smaller friction value and changes slightly with variable temperature parameters.
摘要利用Klein-Kramers方程,结合高斯核轨迹系综,研究了Wigner函数ρw(q,p,t)在相空间中的时间演化。采用纠缠轨迹分子动力学方法,得到了自由粒子、阻尼谐振子和亚稳势三种模型的Klein-Kramers方程的轨迹解。研究发现,半经典维格纳传播对阻尼谐振子的弛豫和亚稳态的耗散衰减是有效的。摩擦值越小,轨道系综能量衰减越快,随温度参数变化变化较小。
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引用次数: 0
Quantum dynamics in double-well system with polychromatic perturbation using entangled trajectory molecular dynamics method 用纠缠轨迹分子动力学方法研究多色微扰双阱系统的量子动力学
Pub Date : 2016-11-01 DOI: 10.4208/JAMS.050916.080216A
Feng Xu, Lei Zhang, Yujun Zheng
We investigate quantum dynamics in a double-well system subject to time- dependent perturbation with some incommensurate frequencies using entangled tra- jectory molecular dynamics method. We first compare time evolution of energy of the driven system with two mode perturbation under classical dynamics with one under quantum dynamics, it is found that quantum dynamics obeys Ehrenfest's theorem and it shows our results obtain from entangled trajectory molecular dynamics method are correct and accurate. Quantum coherence suppresses trajectory which initial energy is higher than barrier to get over it, this process is named coherent destruction of tun- neling (CDT). We show this interesting phenomenon through showing entangled tra- jectory and corresponding classical trajectory in phase space and discuss their energy fluctuation with time. Furthermore, we discuss quantum dynamics with different fre- quency mode perturbation from the perspective of autocorrelation evolution, classical chaos brings remarkable influence on quantum-mechanical phenomena.
本文用纠缠轨迹分子动力学方法研究了频率不匹配的随时间扰动的双阱系统的量子动力学。首先比较了经典动力学下两模摄动驱动系统与量子动力学下一模摄动驱动系统的能量时间演化,发现量子动力学符合Ehrenfest定理,证明了用纠缠轨迹分子动力学方法得到的结果是正确和准确的。量子相干性抑制初始能量高于势垒的轨迹,这一过程被称为隧穿的相干破坏(CDT)。我们通过在相空间中展示纠缠轨迹和相应的经典轨迹来证明这一有趣的现象,并讨论了它们的能量随时间的涨落。此外,我们从自相关演化的角度讨论了不同频模扰动下的量子动力学,经典混沌对量子力学现象的影响是显著的。
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引用次数: 1
Dynamics of bipartite vibrational entanglement under the inherent decoherence process in H_2O H_2O固有退相干过程下的二部振动纠缠动力学
Pub Date : 2016-11-01 DOI: 10.4208/JAMS.061616.081016A
Y. Cheng, L. Zhai
In present study, the dynamics of stretching-stretching and stretching-bending entanglement in H2O are studied with considering the inherent decoherence process. It is shown that the excitation in the bending vibration can lead to the decrease of the generation rate of stretching-stretching entanglement for the non-superposed state and the degeneration of entanglement for the initial entangled states. For specific initial entangled states, the stretching-stretching entanglement can live for a long time, and the correspondence between energy transfer and entanglement is still maintained for the initial local mode states. For the stretching-bending vibrations, the stretchingbending entanglement is much lower than the stretching-stretching vibration, and the degeneration rate of stretching-bending entanglement is higher than that of the stretching-stretching entanglement. The excitation in the remaining stretching vibration can induce a higher degree of stretching-bending entanglement. PACS: 05.45.Ac, 03.65.Ud, 33.20.Tp
本研究考虑了水的固有退相干过程,研究了水的拉伸-拉伸和拉伸-弯曲纠缠动力学。结果表明,弯曲振动中的激励会导致非叠加态的拉伸-拉伸纠缠产生率降低,初始纠缠态的纠缠退化。对于特定的初始纠缠态,拉伸-拉伸纠缠态可以存在很长时间,并且对于初始局域模式态,能量转移与纠缠态之间仍然保持对应关系。对于拉伸-弯曲振动,拉伸-弯曲纠缠远低于拉伸-拉伸振动,且拉伸-弯曲纠缠的退化率高于拉伸-拉伸纠缠。剩余拉伸振动中的激励会引起较高程度的拉伸-弯曲纠缠。pac: 05.45。Ac, 03.65。特拉华大学,33.20.Tp
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引用次数: 1
High-order harmonics and isolated-attosecond pulse generation of Three-Dimensional Hatom by UV-assisted chirped fields 利用紫外辅助啁啾场产生三维哈托姆的高次谐波和隔离阿秒脉冲
Pub Date : 2016-08-01 DOI: 10.4208/JAMS.022016.041316A
Hong-Dan Zhang, Jing Guo, Hui-Ying Zhong, Xiangpeng Luo, Hui-Ni Du, Yan Shi, Xuri Huang, Xue-Shen Liu
By solving the time-dependent Schrodinger equation (TDSE) accuratelywith time-dependent generalized pseudospectral (TDGPS) method, we theoretically investigated the high-order-harmonic generation (HHG) from three dimensional (3D) Hydrogen atom in ultraviolet (UV)-assisted chirped fields. When a 128 nm UV pulse is added on a chirped fundamental field, the HHG spectra is greatly broadened and enhanced, which is quite similar as the HHG from H atom initially prepared in the first excited state in the chirped field only. Besides, the HHG of H atom in the combination of a chirped fundamental field and a 256 nm UV pulse case is also investigated. The HHG process is illustrated by the semi-classical three-step model and the timefrequency analysis. The ionization probability and electron wavepacket as functions of time are also calculated to further illustrate this phenomenon. Furthermore, we also discuss the influence of time delay between the chirped fundamental field and the 128 nm UV pulse on HHG process. Finally, by superposing the harmonics in the range of 200th-260th order, an isolated attosecond pulse with a duration of about 64 as can be generated. PACS: 32.80.Rm, 42.65.Re, 42.65.Ky
利用时间相关广义伪谱(TDGPS)方法精确求解时间相关薛定谔方程(TDSE),从理论上研究了三维氢原子在紫外光辅助啁啾场中的高次谐波产生(HHG)。在啁啾基场中加入128 nm的紫外脉冲后,HHG光谱被大大拓宽和增强,这与仅在啁啾场中以第一激发态制备的H原子HHG非常相似。此外,还研究了啁啾基场与256 nm紫外脉冲相结合情况下H原子的HHG。半经典三步模型和时频分析说明了HHG过程。为了进一步说明这一现象,还计算了电离概率和电子波包随时间的函数。此外,我们还讨论了啁啾基场与128 nm紫外脉冲之间的时间延迟对HHG过程的影响。最后,通过叠加在200 -260阶范围内的谐波,可以产生一个持续时间约为64秒的孤立阿秒脉冲。pac: 32.80。Rm, 42.65。再保险公司42.65.Ky
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引用次数: 1
Isolated attosecond pulse generation in a 800 nmlaser field by adding a terahertz (THz) pulse 通过增加太赫兹(THz)脉冲,在800纳米激光场中分离出阿秒脉冲
Pub Date : 2016-08-01 DOI: 10.4208/JAMS.022516.041916A
Hui-Ni Du, Xin-Lei Ge, Yun-Tao Lin, Hui-Ying Zhong, Jing Guo, Xue-Shen Liu
. We theoretically study the high-order harmonic and the isolated attosecond pulse generation in the near-infrared (IR) (3-fs, 800 nm) laser pulse by adding a terahertz (THz) controlling field with proper phases. It is found that the high-order harmonic spectrum in the IR pulse by adding a terahertz field is broader and smoother than that in the single IR pulse. The underlying physical mechanism is illustrated by means of the time-frequency analysis and the three-step model. We calculate the ionization rate by ADK model to further demonstrate the process of high-order harmonic generation. By superposing a proper range of harmonic spectrum, an isolated attosecond pulse with the duration of 71 as is obtained.
. 在近红外(3-fs, 800 nm)激光脉冲中加入适当相位的太赫兹(THz)控制场,从理论上研究了高次谐波和孤立阿秒脉冲的产生。结果表明,加入太赫兹场后的红外脉冲的高次谐波谱比单一红外脉冲的高次谐波谱更宽、更平滑。通过时频分析和三步模型说明了其潜在的物理机制。我们用ADK模型计算电离率,进一步论证了高次谐波产生的过程。通过叠加适当范围的谐波谱,可以得到一个持续时间为71的孤立阿秒脉冲。
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引用次数: 1
Rotation-vibration spectra for ground state of NaH and its isotopes with explicitly multireference configuration interaction method 用显式多参考构型相互作用方法研究钠及其同位素基态的旋转振动谱
Pub Date : 2016-08-01 DOI: 10.4208/JAMS.022116.041216A
Xiaoting Liu, G. Liang, Xiaomei Zhang, B. Yan
High-level ab initiocalculations utilizing explicitly correlatedmulti-reference configuration interaction method (MRCI-F12), considering Davidson modification(Q), core-valence correlation correction(CV) and scalar relativistic correction(SR), were per- formed to compute the Born-Oppenheimer potential energy curve (PEC) of the ground state X 1 S + of NaH. On the base of the PEC, we obtained vibrational and rotational energy levels information of the ground state X 1 S + . The vibrational and rotational spectroscopic constants of X 1 S + were compared with the available experimental val- ues. We also report rotation-vibration spectra of the ground state for the isotopes of NaH, NaD and NaT molecules. The equilibrium internuclear distances Re and dissoci- ation energies De were calculated to be 1.8865u Aand 15823.29cm 1 for the ground state X 1 S + of NaH, which are in good agreement with the experimental results of 1.8859u A and 15815±5cm 1 .
利用显式相关多参考构型相互作用法(MRCI-F12),考虑Davidson修正(Q)、核价相关校正(CV)和标量相对论校正(SR),进行了高水平的初始计算,计算了NaH基态X 1s +的Born-Oppenheimer势能曲线(PEC)。在此基础上,我们得到了X 1s +基态的振动能级和旋转能级信息。将X 1s +的振动和旋转光谱常数与现有的实验值进行了比较。我们还报道了na, NaD和NaT分子的同位素基态的旋转振动谱。na1的基态X 1 S +的平衡核间距离Re和解离能De分别为1.8865u A和15823.29cm 1,与实验结果1.8859u A和15815±5cm 1吻合较好。
{"title":"Rotation-vibration spectra for ground state of NaH and its isotopes with explicitly multireference configuration interaction method","authors":"Xiaoting Liu, G. Liang, Xiaomei Zhang, B. Yan","doi":"10.4208/JAMS.022116.041216A","DOIUrl":"https://doi.org/10.4208/JAMS.022116.041216A","url":null,"abstract":"High-level ab initiocalculations utilizing explicitly correlatedmulti-reference configuration interaction method (MRCI-F12), considering Davidson modification(Q), core-valence correlation correction(CV) and scalar relativistic correction(SR), were per- formed to compute the Born-Oppenheimer potential energy curve (PEC) of the ground state X 1 S + of NaH. On the base of the PEC, we obtained vibrational and rotational energy levels information of the ground state X 1 S + . The vibrational and rotational spectroscopic constants of X 1 S + were compared with the available experimental val- ues. We also report rotation-vibration spectra of the ground state for the isotopes of NaH, NaD and NaT molecules. The equilibrium internuclear distances Re and dissoci- ation energies De were calculated to be 1.8865u Aand 15823.29cm 1 for the ground state X 1 S + of NaH, which are in good agreement with the experimental results of 1.8859u A and 15815±5cm 1 .","PeriodicalId":15131,"journal":{"name":"Journal of Atomic and Molecular Sciences","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2016-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85155028","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
TDDFT assessment of excited state intramolecular proton transfer in a panel of chromophore 2-hydroxypyrene-1-carbaldehyde 2-羟基-1-乙醛发色团分子内激发态质子转移的TDDFT评价
Pub Date : 2016-08-01 DOI: 10.4208/JAMS.022016.041016A
Hui Li, H. Yin, Xiaochun Liu, Ying Shi
. Time dependent density functional theory method at the def-TZVP/B3LYP level was employed to investigate excited state intramolecular proton transfer (ESIPT) properties of 2-hydroxypyrene-1-carbaldehyde (HC). Our calculated results of the primary bond lengths and infrared vibrational spectroscopic information show that, upon photoexcitation, the intramolecular hydrogen bond is significantly strengthened in S 1 state, which facilitates the proton transfer process effectively. Furthermore, the electron density distributions of frontier molecular orbitals were demonstrated to be a positive factor for the ESIPT. By the monitor of the characteristic peaks stretching vibration of O-H group in the IR spectra, we have further confirmed the occurrence of ESIPT. The constructed potential energy surface of the S 1 state has also been used to explain the proton transfer process and evaluate the radiationless pathway, indicating that the ESIPT process occurs most easily in HC molecule. at a series of values. The results correlate well with the
. 采用时间依赖密度泛函理论方法,在defi - tzvp /B3LYP水平上研究了2-羟基-1-乙醛(HC)激发态分子内质子转移(ESIPT)的性质。我们的主键长度计算结果和红外振动光谱信息表明,在光激发下,分子内氢键在s1态明显加强,有效地促进了质子转移过程。此外,前沿分子轨道的电子密度分布被证明是ESIPT的一个积极因素。通过对红外光谱中O-H基团拉伸振动特征峰的监测,我们进一步证实了ESIPT的存在。构建的s1态势能面也被用来解释质子转移过程和评价无辐射途径,表明ESIPT过程在HC分子中最容易发生。在一系列值处。结果与实验结果相吻合
{"title":"TDDFT assessment of excited state intramolecular proton transfer in a panel of chromophore 2-hydroxypyrene-1-carbaldehyde","authors":"Hui Li, H. Yin, Xiaochun Liu, Ying Shi","doi":"10.4208/JAMS.022016.041016A","DOIUrl":"https://doi.org/10.4208/JAMS.022016.041016A","url":null,"abstract":". Time dependent density functional theory method at the def-TZVP/B3LYP level was employed to investigate excited state intramolecular proton transfer (ESIPT) properties of 2-hydroxypyrene-1-carbaldehyde (HC). Our calculated results of the primary bond lengths and infrared vibrational spectroscopic information show that, upon photoexcitation, the intramolecular hydrogen bond is significantly strengthened in S 1 state, which facilitates the proton transfer process effectively. Furthermore, the electron density distributions of frontier molecular orbitals were demonstrated to be a positive factor for the ESIPT. By the monitor of the characteristic peaks stretching vibration of O-H group in the IR spectra, we have further confirmed the occurrence of ESIPT. The constructed potential energy surface of the S 1 state has also been used to explain the proton transfer process and evaluate the radiationless pathway, indicating that the ESIPT process occurs most easily in HC molecule. at a series of values. The results correlate well with the","PeriodicalId":15131,"journal":{"name":"Journal of Atomic and Molecular Sciences","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2016-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75479999","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 12
Product angular and rovibrational state distributions of the Li + HF(v=0, j=0) → LiF(v', j') + H reaction Li + HF(v=0, j=0)→LiF(v', j') + H反应产物的角态和旋振态分布
Pub Date : 2016-05-01 DOI: 10.4208/JAMS.021416.042116A
X. Yue, M. Jiao
A state-to-state dynamics analysis of the title reaction has been investigated via the quasiclassical trajecory method. Results of the product state resolved differen- tial cross sections, polarization parameters, as well as rovibrational state distributions were revealed and discussed, most of which agree well with the recent quantum me- chanics study by Roncero and co-workers. It was found that more than 82.28% of reactive trajectories undergo the direct reaction mechanism. The title reaction occurs predominantly in the head-end collision.
采用准经典轨迹法对标题反应进行了状态间动力学分析。揭示并讨论了产物态解析微分截面、极化参数和旋转振动态分布的结果,这些结果与Roncero等人最近的量子力学研究结果基本一致。结果表明,82.28%以上的反应轨迹为直接反应机制。标题反应主要发生在正面碰撞中。
{"title":"Product angular and rovibrational state distributions of the Li + HF(v=0, j=0) → LiF(v', j') + H reaction","authors":"X. Yue, M. Jiao","doi":"10.4208/JAMS.021416.042116A","DOIUrl":"https://doi.org/10.4208/JAMS.021416.042116A","url":null,"abstract":"A state-to-state dynamics analysis of the title reaction has been investigated via the quasiclassical trajecory method. Results of the product state resolved differen- tial cross sections, polarization parameters, as well as rovibrational state distributions were revealed and discussed, most of which agree well with the recent quantum me- chanics study by Roncero and co-workers. It was found that more than 82.28% of reactive trajectories undergo the direct reaction mechanism. The title reaction occurs predominantly in the head-end collision.","PeriodicalId":15131,"journal":{"name":"Journal of Atomic and Molecular Sciences","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2016-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81384629","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
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