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Decay and revival dynamics of a quantum state embedded in a regularly spaced band of states 嵌入在规则间隔的态带中的量子态的衰减和恢复动力学
Pub Date : 2023-11-09 DOI: 10.1103/physreva.108.053707
Jan Petter Hansen, Konrad Tywoniuk
The dynamics of a single quantum state embedded in one continuum or several (quasi)continua is one of the most studied phenomena in quantum mechanics. In this paper we investigate its discrete analog and consider short- and long-time dynamics based on numerical and analytical solutions of the Schr"odinger equation. In addition to derivation of explicit conditions for initial exponential decay, it is shown that a recent model of this class [L. Guo, A. Grimsmo, A. F. Kockum, M. Pletyukhov, and G. Johansson, Phys. Rev. A 95, 053821 (2017)], describing a qubit coupled to a phonon reservoir with energy dependent coupling parameters, is identical to a qubit interacting with a finite number of parallel regularly spaced bands of states via constant couplings. As a consequence, the characteristic near periodic initial-state revivals can be viewed as a transition of probability between different continua via the reviving initial state. Furthermore, polynomial decay of the reviving peaks is present in any system with constant and sufficiently strong coupling.
嵌入在一个连续或几个(准)连续中的单个量子态的动力学是量子力学中研究最多的现象之一。本文基于Schr odinger方程的数值解和解析解研究了它的离散模拟,并考虑了它的短期和长期动力学。除了推导初始指数衰减的显式条件外,还证明了这类最近的一个模型[L]。郭,A. Grimsmo, A. F. Kockum, M. Pletyukhov和G. Johansson,物理学家。[j],描述了一个量子比特与一个具有能量依赖耦合参数的声子库耦合,与一个量子比特通过恒定耦合与有限数量的平行规则间隔的状态带相互作用相同。因此,近周期初始状态恢复的特征可以看作是通过恢复初始状态在不同连续体之间的概率转移。此外,在任何具有恒定和足够强耦合的系统中,都存在恢复峰的多项式衰减。
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引用次数: 0
Transform-limited dissipative Kerr solitons with an ultraflat spectrum in a Fabry-Pérot microresonator with a spectral filter 带光谱滤波器的法布里-帕氏微谐振器中具有超平坦谱的变换限制耗散克尔孤子
Pub Date : 2023-11-09 DOI: 10.1103/physreva.108.053505
You Yu, Zhiqiang Wang, Zhen Fang, Yang Li, Zuxing Zhang
The interplay between the dispersion and spectral filtering effect in Kerr-ring resonators allows the formation of dispersion-less Kerr solitons, an alternative class of Kerr solitons featuring with ultrabroad spectrum and zero chirp. In contrast to a ring resonator, the nonlinear interactions between the counterpropagating light waves in a F-P resonator introduce an additional phase shift, which modifies the system-effective detuning, hence impacting the soliton existence range and its formation dynamics. In this article, we investigate numerically the formation of dissipative Kerr solitons (DKSs) in a 10-mm-long Fabry-P'erot (FP) microresonator with a super-Gaussian spectral filter in the normal dispersion regime. Simulation results found that the spectral loss provided by the filter plays a significant role in the formation of DKS. Without the filter, the FP microresonator yields platicons featuring a flat-top pulse with oscillating tails on both sides. For a super-Gaussian spectral filter with an order of $nensuremath{rightarrow}ensuremath{infty}$, the resonator approaches the transform-limited DKS regime with ultraflat spectrum. An intermediate state of chaotic states of multipulses was observed in the transition from the platicon to the transform-limited DKSs when using the detuning scan technology, the dependence of the appearance of the chaotic state on the spectral filtering effect. Finally, the energy-width scaling behavior and the enhancement of the performances of the transform-limited DKS are studied. Simulation results deepen our understanding of nonlinear dynamics of transform-limited DKS combs and point out a way for achieving a high-energy DKS comb with ultraflat spectrum in Kerr resonators.
克尔环谐振器中色散和光谱滤波效应之间的相互作用允许形成无色散克尔孤子,这是克尔孤子的另一类,具有超远光谱和零啁啾。与环形谐振器相比,F-P谐振器中反向传播光波之间的非线性相互作用引入了额外的相移,这改变了系统有效失谐,从而影响了孤子的存在范围及其形成动力学。在本文中,我们用数值方法研究了在正常色散状态下,具有超高斯谱滤波器的10毫米长的fabry - p (FP)微谐振器中耗散克尔孤子(DKSs)的形成。仿真结果表明,滤波器提供的频谱损耗对DKS的形成起着重要的作用。在没有滤波器的情况下,FP微谐振器产生的脉冲具有平顶脉冲,两侧有振荡尾。对于阶为$nensuremath{rightarrow}ensuremath{infty}$的超高斯谱滤波器,谐振腔接近具有超平坦谱的变换受限DKS区。利用失谐扫描技术,观察到多脉冲在从平台到变换受限dks的过渡过程中存在中间混沌状态,混沌状态的出现与谱滤波效果的关系。最后,研究了变换受限DKS的能量宽度缩放行为和性能的增强。仿真结果加深了我们对变换受限DKS梳的非线性动力学的理解,并为在Kerr谐振器中实现具有超平坦光谱的高能DKS梳指明了一条途径。
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引用次数: 0
Contribution of negative-energy states to multipolar polarizabilities of the Sr optical lattice clock 负能态对Sr光学晶格钟多极极化率的贡献
Pub Date : 2023-11-09 DOI: 10.1103/physreva.108.l051102
S. G. Porsev, M. G. Kozlov, M. S. Safronova
An accurate formula for the magnetic-dipole polarizability that takes into account both the positive- and negative-energy-state contributions is presented. The major discrepancy between the theory and experiment is explained.
给出了考虑正能态和负能态贡献的磁偶极子极化率的精确公式。解释了理论与实验之间的主要差异。
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引用次数: 0
Nuclear electric resonance for spatially resolved spin control via pulsed optical excitation in the UV-visible spectrum 在紫外可见光谱中利用脉冲光激发进行空间分辨自旋控制的核电共振
Pub Date : 2023-11-09 DOI: 10.1103/physreva.108.053110
Johannes K. Krondorfer, Andreas W. Hauser
Nuclear electric resonance (NER) spectroscopy is currently experiencing a revival as a tool for nuclear spin-based quantum computing. Compared to magnetic or electric fields, local electron density fluctuations caused by changes in the atomic environment provide a much higher spatial resolution for the addressing of nuclear spins in qubit registers or within a single molecule. In this article we investigate the possibility of coherent spin control in atoms or molecules via nuclear quadrupole resonance from first principles. An abstract, time-dependent description is provided which entails and reflects on commonly applied approximations. This formalism is then used to propose a method we refer to as ``optical'' nuclear electric resonance (ONER). It employs pulsed optical excitations in the UV-visible light spectrum to modulate the electric field gradient at the position of a specific nucleus of interest by periodic changes of the surrounding electron density. Possible realizations and limitations of ONER for atomically resolved spin manipulation are discussed and tested on $^{9}mathrm{Be}$ as an atomic benchmark system via electronic structure theory.
作为基于核自旋的量子计算工具,核电共振(NER)光谱学目前正在复兴。与磁场或电场相比,原子环境变化引起的局部电子密度波动为量子位寄存器或单个分子内的核自旋寻址提供了更高的空间分辨率。本文从第一性原理出发,研究了利用核四极共振控制原子或分子中相干自旋的可能性。提供了一个抽象的、与时间相关的描述,它包含并反映了通常应用的近似。然后,这种形式被用来提出一种我们称之为“光学”核电子共振(ONER)的方法。它采用紫外-可见光光谱中的脉冲光激发,通过周围电子密度的周期性变化来调制特定原子核位置的电场梯度。讨论了原子分辨自旋操作的可能实现和限制,并利用电子结构理论在$^{9} maththrm {Be}$作为原子基准系统上进行了测试。
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引用次数: 0
Detachment between edge and skin states in a non-Hermitian lattice 非厄米晶格中边缘和表皮状态之间的分离
Pub Date : 2023-11-09 DOI: 10.1103/physreva.108.052210
Zhi-Xu Zhang, Ji Cao, Wen-Xue Cui, Yu Zhang, Shou Zhang, Hong-Fu Wang
The integration of nonreciprocal non-Hermiticity and topological lattice systems can induce the emergence of the non-Hermitian skin effect, enabling a clear distinction between the behaviors of bulk states in non-Hermitian systems and those in Hermitian systems. Specifically, we focus on examining the localized directions of eigenstates in an odd-sized Su-Schrieffer-Heeger-type lattice with intracell nonreciprocal hopping, and identify a notable phenomenon of detachment between the edge and bulk states, which stands in stark contrast to the behaviors observed in even-sized cases. The localized directions of the bulk and edge states are respectively subjected to the non-Hermitian skin effect and isolated site induced by the odd size of the lattice, resulting in the detachment between the edge and skin states. To provide a comprehensive understanding of the detachment phenomenon, we present analytical solutions that illustrate the localized directions of the edge and skin states whose results are in perfect agreement with the numerical findings. Furthermore, we demonstrate that a pair of eigenstates exhibiting opposite localized directions to the skin states can appear in a trimer non-Hermitian lattice, indicating the possibility of detachment between the edge and skin states in multimer non-Hermitian lattices as well.
非互易非厄米系统和拓扑晶格系统的集成可以诱导非厄米集肤效应的出现,从而使非厄米系统和厄米系统的体态行为得到明显区分。具体来说,我们重点研究了具有细胞内非互反跳变的奇尺寸su - schrieffer - heeger型晶格中特征态的局域方向,并发现了边缘和体态之间明显的分离现象,这与在偶数尺寸情况下观察到的行为形成鲜明对比。体态和边缘态的局域化方向分别受到非厄米集肤效应和晶格奇数大小引起的孤立位的影响,导致边缘态和集肤态之间的分离。为了提供对脱离现象的全面理解,我们提出了解析解,说明了边缘和皮肤状态的局部方向,其结果与数值结果完全一致。此外,我们证明了一对具有与表皮态相反局域方向的特征态可以出现在三倍非厄米格中,这表明在多倍非厄米格中边缘和表皮态之间也有分离的可能性。
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引用次数: 0
Nonequilibrium dynamics of the Jaynes-Cummings dimer 詹尼斯-卡明斯二聚体的非平衡动力学
Pub Date : 2023-11-09 DOI: 10.1103/physreve.108.054116
G. Vivek, Debabrata Mondal, S. Sinha
We investigate the nonequilibrium dynamics of a Josephson-coupled Jaynes-Cummings dimer in the presence of Kerr nonlinearity, which can be realized in the cavity and circuit quantum electrodynamics systems. The semiclassical dynamics is analyzed systematically to chart out a variety of photonic Josephson oscillations and their regime of stability. Different types of transitions between the dynamical states lead to the self-trapping phenomenon, which results in photon population imbalance between the two cavities. We also study the dynamics quantum mechanically to identify characteristic features of different steady states and to explore fascinating quantum effects, such as spin dephasing, phase fluctuation, and revival phenomena of the photon field, as well as the entanglement of spin qubits. For a particular ``self-trapped'' state, the mutual information between the atomic qubits exhibits a direct correlation with the photon population imbalance, which is promising for generating photon mediated entanglement between two non interacting qubits in a controlled manner. Under a sudden quench from stable to unstable regime, the photon distribution exhibits phase space mixing with a rapid loss of coherence, resembling a thermal state. Finally, we discuss the relevance of the new results in experiments, which can have applications in quantum information processing and quantum technologies.
本文研究了存在Kerr非线性的Josephson-coupled jayes - cummings二聚体的非平衡动力学,这种非线性可以在腔和电路量子电动力学系统中实现。系统地分析了半经典动力学,给出了各种光子约瑟夫森振荡及其稳定状态。不同类型的动态跃迁会导致自捕获现象,从而导致两个腔之间的光子居数不平衡。我们还研究了动态量子力学,以识别不同稳态的特征,并探索令人着迷的量子效应,如自旋失相,相位波动,光子场的复兴现象,以及自旋量子比特的纠缠。对于特定的“自困”态,原子量子比特之间的互信息与光子种群不平衡直接相关,这有望在两个非相互作用的量子比特之间以受控的方式产生光子介导的纠缠。在从稳定状态突然猝灭到不稳定状态下,光子分布表现为相空间混合,相干性迅速丧失,类似于热态。最后,我们讨论了实验中新结果的相关性,这些结果可以在量子信息处理和量子技术中应用。
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引用次数: 0
Energetic benefits in coordinated circular swimming motion of two swimmers 两名游泳者协调循环游泳运动的能量效益
Pub Date : 2023-11-09 DOI: 10.1103/physreve.108.054603
Danshi Liu, Jiadong Wang, Xuewei Mao, Jian Deng
The coordinated movement of multiple swimmers is a crucial component of fish schools. Fish swimming in different formations, such as tandem, side-by-side, diamond, and phalanx, can achieve significant energetic advantages. However, the energetic benefits of nonstraight swimming behaviors, such as the collective motion of a milling pattern, are not well understood. To fill in this gap, we consider two swimmers in circular tracks, controlled by a PID approach to reach stable configurations. Our study finds that the optimal phase is affected by circumferential effects, and that substantial energy savings can result from both propulsion and turning. We also explore the radial effect in terms of energetic benefits. In a milling pattern, the inner swimmers can easily gain a certain energetic benefit ($ensuremath{-}8%$), while their peers on the outside must be close enough to the inner swimmer with a proper phase to gain the energetic benefit ($ensuremath{-}14%$). When the radial spacing becomes larger or is in an unmatched phase, the swimming of the outer swimmers becomes more laborious ($+16%$). Our results indicate that swimmers who maintain a matched phase and minimum radial effect obtain the highest energetic benefits ($ensuremath{-}26%$). These findings highlight the energetic benefits of swimmers, even in a milling pattern, where the position difference dominates the extent of benefit.
多个游泳者的协调运动是鱼群的重要组成部分。鱼以不同的队形游泳,如串联、并排、菱形和方阵,可以获得显著的能量优势。然而,非直线游泳行为的能量效益,如集体运动的铣削模式,并没有很好地理解。为了填补这一空白,我们考虑两个游泳者在圆形轨道上,由PID方法控制以达到稳定的配置。我们的研究发现,最优相位受周向效应的影响,推进和转弯都可以节省大量的能量。我们还从能量效益方面探讨了径向效应。在磨铣模式中,内部游泳者可以很容易地获得一定的能量收益($ensuremath{-}8%$),而外部的同伴必须与内部游泳者足够接近,并具有适当的相位才能获得能量收益($ensuremath{-}14%$)。当径向间距变大或处于不匹配阶段时,外侧游泳者的游泳变得更加费力($+16%$)。我们的研究结果表明,保持相匹配和最小径向效应的游泳者获得最高的能量效益($ensuremath{-}26%$)。这些发现强调了游泳者对能量的好处,即使是在跑步模式中,位置差异主导了好处的程度。
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引用次数: 0
Broadband and large-area optical chirality generated by an achiral metasurface under achiral excitation 在非手性激发下由非手性超表面产生的宽带和大面积光学手性
Pub Date : 2023-11-09 DOI: 10.1103/physreva.108.053504
Shiqi Jia, Tong Fu, Jie Peng, Shubo Wang
Optical chirality plays an essential role in chiral light-matter interactions with broad applications in sensing and spectroscopy. Conventional methods of generating optical chirality usually employ chiral structures or chiral excitations. Here, we propose to use an achiral metasurface consisting of a gold disk array excited by a linearly polarized light to generate optical chirality. Using full-wave numerical simulations, we show that the metasurface can give rise to large-area optical chirality of the same sign for a wavelength ranging from 1.2 to $1.5phantom{rule{0.28em}{0ex}}textmu{}mathrm{m}$. The magnitude of the chirality is comparable to that of circularly polarized plane waves. The emergence of optical chirality can be attributed to the asymmetric polarization singularity lines (C lines) in the near fields of the metasurface. We further explore the application of the proposed metasurface in chiral discriminations by simulating the absorption of chiral helix particles immersed in the near fields, and demonstrate that the left-handed and right-handed helix particles give rise to different absorptions. The phenomenon can be understood using an analytical theory based on the dipole approximation, which predicts differential absorption quantitatively agreeing with the numerical simulation results. Our study uncovers the subtle relationship between near-field optical chirality, polarization singularities, and symmetry. The results can find applications in optical sensing, chiral quantum optics, and optical manipulations of small particles.
光手性在光-物质手性相互作用中起着至关重要的作用,在传感和光谱学中有着广泛的应用。产生光学手性的传统方法通常采用手性结构或手性激发。在这里,我们建议使用由线偏振光激发的金盘阵列组成的非手性超表面来产生光学手性。利用全波数值模拟,我们证明了超表面可以在波长范围为1.2到1.5phantom{rule{0.28em}{0ex}}textmu{}mathrm{m}$的范围内产生相同符号的大面积光学手性。手性的大小与圆极化平面波的大小相当。光手性的产生可归因于超表面近场的不对称极化奇异线(C线)。我们通过模拟手性螺旋粒子在近场中的吸收,进一步探讨了所提出的超表面在手性鉴别中的应用,并证明了左手和右手螺旋粒子会产生不同的吸收。这种现象可以用基于偶极近似的解析理论来理解,它定量地预测了微分吸收,与数值模拟结果一致。我们的研究揭示了近场光学手性、偏振奇点和对称性之间的微妙关系。研究结果可以在光学传感、手性量子光学和小粒子的光学操作中找到应用。
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引用次数: 0
Contribution of negative-energy states to the E2−M1 polarizability of optical clocks 负能态对光钟E2−M1极化率的贡献
Pub Date : 2023-11-09 DOI: 10.1103/physreva.108.l051101
Fang-Fei Wu, Ting-Yun Shi, Wei-Tou Ni, Li-Yan Tang
The authors theoretically investigate the impact of Dirac negative-energy states on the $E$2 and $M$1 polarizabilities in optical clocks. They demonstrate the importance of negative-energy states for the $M$1 polarizability and resolve the sign inconsistency between the theoretical calculations and experimental measurements in the $E$2-$M$1 polarizability difference of the Sr clock.
作者从理论上研究了狄拉克负能态对光学钟中E$2和M$1极化率的影响。他们证明了负能态对$M$1极化率的重要性,并解决了Sr时钟$E$2-$M$1极化率差的理论计算和实验测量之间的符号不一致。
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引用次数: 0
Scattering-angle dependence of doubly differential cross sections for ionization in proton collisions with molecular hydrogen 质子与氢分子碰撞电离的双微分截面散射角依赖性
Pub Date : 2023-11-09 DOI: 10.1103/physreva.108.052809
C. T. Plowman, K. H. Spicer, M. Schulz, A. S. Kadyrov
The wave-packet convergent close-coupling (WP-CCC) approach is applied to calculate the energy spectrum of electrons ejected in $p+{mathrm{H}}_{2}$ collisions as a function of the scattering angle of the projectile. The calculations are performed for projectile energies of 75, 100, and 200 keV. At these incident energies there are many competing reaction channels that play an essential role in the collision dynamics. The target is modeled as an orientationally averaged effective one-electron system. The results are compared with available perturbative calculations and experimental data. Good agreement between the WP-CCC results and experimental data is found for small emission energies, especially when the projectile is scattered at small angles. However, when the electron is emitted with a speed comparable to or greater than the projectile speed we find that our method predicts smaller cross sections near zero scattering angles and a slower fall off than the experimental data. This is in agreement with other calculations. Furthermore, the structure observed in the experimental data at large scattering angles is not supported by our results. Interestingly, we find very good agreement with the continuum-distorted-wave eikonal-initial-state molecular-orbital calculations that use a two-effective center approximation, though our method describes the target as an effective one-electron spherically symmetric system. This suggests that in these models two-center interference effects may have a small effect on this particular cross section. Furthermore, we find that the experimentally observed decrease in average scattering angle in proton collisions with ${mathrm{H}}_{2}$ near the electron-projectile matching speed is not reproduced by our results. We also present the doubly differential cross section for ionization as a function of the scattering angle of the projectile at select emission angles.
应用波包收敛紧密耦合(WP-CCC)方法计算了$p+{ mathm {H}}_{2}$碰撞中抛射电子的能谱随抛射体散射角的变化规律。计算的弹丸能量分别为75、100和200千伏特。在这些入射能量下,有许多相互竞争的反应通道在碰撞动力学中起着重要作用。目标被建模为一个定向平均的有效单电子系统。结果与现有的微扰计算和实验数据进行了比较。WP-CCC计算结果与实验数据吻合较好,特别是当弹丸以小角度散射时。然而,当电子以与抛射速度相当或大于抛射速度的速度发射时,我们发现我们的方法预测了接近零散射角的更小的横截面和比实验数据更慢的脱落。这与其他计算结果是一致的。此外,在大散射角下实验数据中观察到的结构不支持我们的结果。有趣的是,尽管我们的方法将目标描述为有效的单电子球对称系统,但我们发现与使用双有效中心近似的连续扭曲波eikonal初始状态分子轨道计算非常吻合。这表明,在这些模型中,双中心干涉效应对这一特定截面的影响可能很小。此外,我们发现在电子-抛射匹配速度附近,与${ mathm {H}}_{2}$的质子碰撞中,实验观察到的平均散射角减小的现象不能被我们的结果再现。我们还给出了电离的双微分截面作为弹丸在选定发射角时散射角的函数。
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引用次数: 0
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Physical Review
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