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Linear-in-momentum spin orbit interactions in planar Ge/GeSi heterostructures and spin qubits 平面Ge/GeSi异质结构中的线性动量自旋轨道相互作用和自旋量子比特
Pub Date : 2023-11-14 DOI: 10.1103/physrevb.108.205416
Esteban A. Rodríguez-Mena, José Carlos Abadillo-Uriel, Gaëtan Veste, Biel Martinez, Jing Li, Benoît Sklénard, Yann-Michel Niquet
We investigate the existence of linear-in-momentum spin orbit interactions in the valence band of Ge/GeSi heterostructures using an atomistic tight-binding method. We show that symmetry breaking at the Ge/GeSi interfaces gives rise to a linear Dresselhaus-type interaction for heavy holes. This interaction results from the heavy-hole/light-hole mixings induced by the interfaces and can be captured by a suitable correction to the minimal Luttinger-Kohn, four bands $mathbf{k}ifmmodecdotelsetextperiodcenteredfi{}mathbf{p}$ Hamiltonian. It is dependent on the steepness of the Ge/GeSi interfaces, and is suppressed if interdiffusion is strong enough. Besides the Dresselhaus interaction, the Ge/GeSi interfaces also make a contribution to the in-plane gyromagnetic $g$ factors of the holes. The tight-binding calculations also highlight the existence of a small linear Rashba interaction resulting from the couplings between the heavy-hole/light-hole manifold and the conduction band enabled by the low structural symmetry of Ge/GeSi heterostructures. These interactions can be leveraged to drive the hole spin. The linear Dresselhaus interaction may, in particular, dominate the physics of the devices for out-of-plane magnetic fields. When the magnetic field lies in-plane, it is, however, usually far less efficient than the $g$-tensor modulation mechanisms arising from the motion of the dot in nonseparable, inhomogeneous electric fields and strains.
我们用原子紧密结合的方法研究了Ge/GeSi异质结构价带中线性动量自旋轨道相互作用的存在性。我们证明了Ge/GeSi界面的对称性破缺导致重空穴的线性dresselhaus型相互作用。这种相互作用是由界面引起的重孔/轻孔混合引起的,可以通过对最小Luttinger-Kohn,四个波段$mathbf{k}ifmmodecdotelsetextperiodcenter fi{}mathbf{p}$哈密顿量进行适当的校正来捕获。它依赖于Ge/GeSi界面的陡峭度,如果相互扩散足够强,它会被抑制。除了Dresselhaus相互作用外,Ge/GeSi界面也对空穴的面内旋磁因子$g$有贡献。紧密结合的计算还强调了一个小的线性Rashba相互作用的存在,这是由Ge/GeSi异质结构的低结构对称性导致的重孔/轻孔流形与导带之间的耦合造成的。这些相互作用可以用来驱动空穴自旋。线性的Dresselhaus相互作用可能特别地支配着面外磁场器件的物理特性。然而,当磁场位于平面内时,它的效率通常远低于$g$张量调制机制,这种调制机制是由点在不可分离的、不均匀的电场和应变中的运动引起的。
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引用次数: 2
Prospecting effective Yang-Mills-Higgs models for the asymptotic confining flux tube 寻找渐近约束磁通管的有效Yang-Mills-Higgs模型
Pub Date : 2023-11-14 DOI: 10.1103/physrevd.108.094021
David R. Junior, Luis E. Oxman, Gustavo M. Simões
In this work, we analyze a large class of effective Yang-Mills-Higgs models constructed in terms of adjoint scalars. In particular, we reproduce asymptotic properties of the confining string, suggested by lattice simulations of $SU(N)$ pure Yang-Mills theory, in models that are stable in the whole range of Higgs-field mass parameters. These properties include $N$-ality, Abelian-like flux-tube profiles, independence of the profiles with the $N$-ality of the quark representation, and Casimir scaling. We find that although these models are formulated in terms of many fields and possible Higgs potentials, a collective behavior can be established in a large region of parameter space, where the desired asymptotic behavior is realized.
在这项工作中,我们分析了一大类有效的Yang-Mills-Higgs模型,这些模型是根据伴随标量构造的。特别是,我们在整个希格斯场质量参数范围内稳定的模型中再现了由$SU(N)$纯Yang-Mills理论的晶格模拟所提出的约束弦的渐近性质。这些性质包括$N$性、类阿贝尔通量管谱线、谱线与夸克表示的$N$性的独立性以及卡西米尔标度。我们发现,尽管这些模型是根据许多场和可能的希格斯势来表述的,但在一个大的参数空间区域中可以建立一个集体行为,在这个区域中所期望的渐近行为是可以实现的。
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引用次数: 0
Improving a quantum-dot-based single-photon source with continuous measurements 改进基于量子点的连续测量单光子源
Pub Date : 2023-11-14 DOI: 10.1103/physreva.108.053711
Anirudh Lanka, Todd Brun
We propose a technique to improve the probability of single-photon emission with an electrically pumped quantum dot in an optical microcavity by continuously monitoring the dot's energy state and using feedback to control when to stop pumping. The goal is to boost the probability of single-photon emission while bounding the probability of two or more photons. We model the system by a stochastic master equation that includes postmeasurement operations. Ideally, feedback should be based on the entire continuous measurement record, but in practice, it may be difficult to do such processing in real time. We show that even a simple threshold-based feedback scheme using measurements at a single time can improve performance over deterministic (open-loop) pumping. This technique is particularly useful for strong dot-cavity coupling with lower rates of pumping, as can be the case for electrical pumping. It is also numerically tractable since we can perform ensemble averaging with a single master equation rather than averaging over a large number of quantum trajectories.
本文提出了一种提高光微腔中电泵浦量子点单光子发射概率的技术,该技术通过连续监测量子点的能量状态并使用反馈控制何时停止泵浦来提高单光子发射概率。目标是提高单光子发射的概率,同时限制两个或更多光子发射的概率。我们用随机主方程对系统建模,其中包括测量后的操作。理想情况下,反馈应该基于整个连续的测量记录,但在实践中,可能很难实时地进行这样的处理。我们表明,即使是使用单次测量的简单的基于阈值的反馈方案也可以提高确定性(开环)泵送的性能。这种技术对于低泵送速率的强点腔耦合特别有用,就像电泵送一样。它在数值上也是易于处理的,因为我们可以用单个主方程执行集合平均,而不是对大量量子轨迹进行平均。
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引用次数: 0
Line tension of sessile droplets: Thermodynamic considerations 固定液滴的线张力:热力学考虑
Pub Date : 2023-11-14 DOI: 10.1103/physreve.108.054121
Haodong Zhang, Fei Wang, Britta Nestler
We deduce a thermodynamically consistent diffuse interface model to study the line tension phenomenon of sessile droplets. By extending the standard Cahn-Hilliard model via modifying the free energy functional due to the spatial reflection asymmetry at the substrate, we provide an alternative interpretation for the wall energy. In particular, we find the connection of the line tension effect with the droplet-matrix-substrate triple interactions. This finding reveals that the apparent contact angle deviating from Young's law is contributed by the wall energy reduction as well as the line energy minimization. Besides, the intrinsic negative line tension resulting from the curvature effect is observed in our simulations and shows good accordance with recent experiments [Tan et al. Phys. Rev. Lett. 130, 064003 (2023)]. Moreover, our model sheds light upon the understanding of the wetting edge formation which results from the vying effect of wall energy and line tension.
我们推导了一个热力学一致的扩散界面模型来研究固滴的线张力现象。通过修正由于基底处空间反射不对称而导致的自由能泛函来扩展标准Cahn-Hilliard模型,我们为壁能提供了另一种解释。特别地,我们发现了线张力效应与液滴-基质-衬底三重相互作用的联系。这一发现表明,表观接触角偏离杨氏定律是由于壁面能量的减少和线能量的最小化。此外,在我们的模拟中观察到由曲率效应引起的本征负线张力,与最近的实验结果一致[Tan等]。理论物理。中国生物医学工程学报,2003,14(5):555 - 557。此外,我们的模型有助于理解由于壁能和线张力的共同作用而形成的湿边。
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引用次数: 0
Principle of learning sign rules by neural networks in qubit lattice models 神经网络在量子比特晶格模型中学习符号规则的原理
Pub Date : 2023-11-14 DOI: 10.1103/physrevb.108.195127
Jin Cao, Shijie Hu, Zhiping Yin, Ke Xia
A neural network is a powerful tool that can uncover hidden laws beyond human intuition. However, it often appears as a black box due to its complicated nonlinear structures. By drawing upon the Gutzwiller mean-field theory, we can showcase a principle of sign rules for ordered states in qubit lattice models. We introduce a shallow feed-forward neural network with a single hidden neuron to present these sign rules. We conduct systematical benchmarks in various models, including the generalized Ising, spin-$1/2$ XY, (frustrated) Heisenberg rings, triangular XY antiferromagnet on a torus, and the Fermi-Hubbard ring at an arbitrary filling. These benchmarks show that all the leading-order sign rule characteristics can be visualized in classical forms, such as pitch angles. Besides, quantum fluctuations can result in an imperfect accuracy rate quantitatively.
神经网络是一个强大的工具,它可以揭示人类直觉之外的隐藏规律。然而,由于其复杂的非线性结构,往往以黑盒子的形式出现。利用古茨威勒平均场理论,我们可以展示量子比特晶格模型中有序态的符号规则原理。我们引入了一个具有单个隐藏神经元的浅前馈神经网络来表示这些符号规则。我们在各种模型中进行了系统的基准测试,包括广义Ising,自旋-$1/2$ XY,(受挫)海森堡环,环面上的三角形XY反铁磁体,以及任意填充的费米-哈伯德环。这些基准测试表明,所有的前序符号规则特征都可以以经典形式可视化,例如俯仰角。此外,量子涨落会导致定量准确度不完美。
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引用次数: 0
Large and tunable spin-orbit effect of 6p orbitals through structural cavities in crystals 晶体结构空腔中6p轨道的大可调自旋轨道效应
Pub Date : 2023-11-14 DOI: 10.1103/physrevb.108.l201112
Mauro Fava, William Lafargue-Dit-Hauret, Aldo H. Romero, Eric Bousquet
We explore from first-principles calculations the ferroelectric material ${mathrm{Pb}}_{5}{mathrm{Ge}}_{3}{mathrm{O}}_{11}$ as a model for controlling the spin-orbit interaction (SOC) in crystalline solids. The SOC has a surprisingly strong effect on the structural energy landscape by deepening the ferroelectric double well. We observe that this effect comes from a specific Pb Wyckoff site that lies on the verge of a natural cavity channel of the crystal. We also find that a unique cavity state is formed by the empty $6p$ states of another Pb site at the edge of the cavity channel. This cavity state exhibits a sizable spin splitting with a mixed Rashba-Weyl character and a topologically protected crossing of the related bands. We also show that the ferroelectric properties and the significant SOC effects are exceptionally robust in the presence of n-type doping at levels of up to several electrons per unit cell. We trace the provenance of these original effects to the unique combination of the structural cavity channel and the chemistry of the Pb atoms with $6p$ orbitals localizing inside the channel.
我们从第一性原理计算中探索了铁电材料${ mathm {Pb}}_{5}}{ mathm {Ge}}_{3}{ mathm {O}}_{11}$作为控制结晶固体中自旋轨道相互作用(SOC)的模型。SOC通过加深铁电双井对结构能量景观产生了惊人的强烈影响。我们观察到这种效应来自于一个特定的Pb Wyckoff位点,它位于晶体的一个自然腔通道的边缘。我们还发现一个独特的空腔态是由空腔通道边缘的另一个Pb位的空$6p$态形成的。这种腔态表现出相当大的自旋分裂,具有混合的Rashba-Weyl特征和相关能带的拓扑保护交叉。我们还表明,在n型掺杂的情况下,铁电性能和显著的SOC效应在每个单元电池中高达几个电子的水平下是异常稳健的。我们将这些原始效应的来源追溯到结构腔通道和Pb原子的化学性质的独特组合,其中$6p$轨道定位在通道内。
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引用次数: 0
Untangling dissipative and Hamiltonian effects in bulk and boundary-driven systems 体和边界驱动系统中的解缠结耗散和哈密顿效应
Pub Date : 2023-11-14 DOI: 10.1103/physreve.108.054123
D. R. Michiel Renger, Upanshu Sharma
Using the theory of large deviations, macroscopic fluctuation theory provides a framework to understand the behavior of nonequilibrium dynamics and steady states in diffusive systems. We extend this framework to a minimal model of a nonequilibrium nondiffusive system, specifically an open linear network on a finite graph. We explicitly calculate the dissipative bulk and boundary forces that drive the system towards the steady state, and the nondissipative bulk and boundary forces that drive the system in orbits around the steady state. Using the fact that these forces are orthogonal in a certain sense, we provide a decomposition of the large-deviation cost into dissipative and nondissipative terms. We establish that the purely nondissipative force turns the dynamics into a Hamiltonian system. These theoretical findings are illustrated by numerical examples.
利用大偏差理论,宏观涨落理论为理解扩散系统的非平衡动力学和稳态行为提供了一个框架。我们将这一框架推广到非平衡非扩散系统的极小模型,特别是有限图上的开放线性网络。我们明确地计算了驱动系统走向稳态的耗散体积和边界力,以及驱动系统绕稳态轨道运行的非耗散体积和边界力。利用这些力在一定意义上是正交的这一事实,我们将大偏差代价分解为耗散项和非耗散项。我们建立了纯非耗散力将动力学转化为哈密顿系统。通过数值算例说明了这些理论结果。
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引用次数: 2
Suppressed superexchange interactions in the cuprates by bond-stretching oxygen phonons 键拉伸氧声子抑制铜酸盐中的超交换相互作用
Pub Date : 2023-11-14 DOI: 10.1103/physrevb.108.l201113
Shaozhi Li, Steven Johnston
We study a multiorbital Hubbard--Su-Schrieffer-Heeger model for the one-dimensional (1D) corner-shared cuprates in the adiabatic and nonadiabatic limits using exact diagonalization and determinant quantum Monte Carlo. At half filling and in the adiabatic limit, lattice dimerization can be achieved only over a narrow range of couplings slightly below a critical coupling ${g}_{c}$. Beyond this value, the sign of the effective hopping changes, and the lattice becomes unstable. Strong lattice fluctuations replace the dimerization state in the nonadiabatic case. We also examine the model's temperature-dependent uniform and dynamical magnetic susceptibilities and compare them to the results of an effective spin-$1/2$ Heisenberg model. In doing so, we demonstrate that lattice fluctuations induced by the $e$-ph interaction suppress the effective superexchange interaction when $g<{g}_{c}$. Our results elucidate the effect of bond-stretching phonons in the parent cuprate compounds in general and are particularly relevant to 1D cuprates, where strong $e$-ph interactions have recently been inferred.
利用精确对角化和行列式量子蒙特卡罗方法研究了绝热和非绝热极限下一维角共享铜的多轨道Hubbard—Su-Schrieffer-Heeger模型。在半填充和绝热极限下,晶格二聚化只能在略低于临界耦合${g}_{c}$的狭窄耦合范围内实现。超过这个值,有效跳变的符号发生变化,晶格变得不稳定。在非绝热情况下,强晶格涨落取代了二聚化态。我们还检查了模型的温度相关的均匀磁化率和动态磁化率,并将它们与有效自旋- 1/2海森堡模型的结果进行了比较。在此过程中,我们证明了当$g<{g}_{c}$时,由$e$-ph相互作用引起的晶格波动抑制了有效的超交换相互作用。我们的结果阐明了键拉伸声子在母体铜化合物中的作用,特别是与1D铜酸盐有关,其中最近推断出强的$e$-ph相互作用。
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引用次数: 10
Auger decay of 1s−13p−1nln′l′ doubly excited … 1s−13p−1nln的俄歇衰变是双激发的…
Pub Date : 2023-11-14 DOI: 10.1103/physreva.108.053113
M. Žitnik, M. Hrast, A. Mihelič, K. Bučar, J. Turnšek, R. Püttner, G. Goldsztejn, T. Marchenko, R. Guillemin, L. Journel, O. Travnikova, I. Ismail, M. N. Piancastelli, M. Simon, D. Ceolin, M. Kavčič
The natural widths of atomic resonances do not broaden spectral lines of emitted particles, which makes the corresponding spectroscopies suitable for high-resolution studies of x-ray absorption. While resonant inelastic x-ray scattering (RIXS) results in a narrow-band x-ray signal which primarily depends on the charge of the emitter, the resonant Auger (RA) emission is more dispersed and promises the separation of individual atomic resonances. To disentangle the $1{s}^{ensuremath{-}1}3{p}^{ensuremath{-}1}nl{n}^{ensuremath{'}}{l}^{ensuremath{'}}$ absorption spectrum in Ar, we have measured a sequence of $K{M}_{23}ensuremath{-}{L}_{23}^{2}{M}_{23}$ RA spectra with a high experimental resolution. Although only parts of the RA spectra were reliably isolated due to the strong overlap with the intense $Kensuremath{-}{L}^{2}$ Auger emission from ions, the data analysis shows contributions from separate groups of resonances to the Auger signal in greater detail compared to the previous high-resolution absorption and RIXS studies. The calculated differential cross sections are consistent with the available experimental results when the angular dependence of RA emission and the interference of absorption-emission paths through different resonances are accounted for.
原子共振的自然宽度不会使发射粒子的谱线变宽,这使得相应的光谱适合于高分辨率的x射线吸收研究。共振非弹性x射线散射(RIXS)产生的窄频带x射线信号主要取决于发射器的电荷,而共振俄歇(RA)发射更分散,并有望分离单个原子共振。为了解开Ar中$1{s}^{ensuremath{-}1}3{p}^{ensuremath{-}1}nl{n}^{ensuremath{'}}{l}^{ensuremath{'}}$吸收光谱,我们测量了具有高实验分辨率的$K{M}_{23}ensuremath{-}{l}}^{2}{M}_{23}$ RA光谱序列。虽然由于与离子强烈的$Kensuremath{-}{L}^{2}$俄歇发射的强重叠,只有部分RA光谱被可靠地分离出来,但与之前的高分辨率吸收和RIXS研究相比,数据分析显示了来自不同共振组对俄歇信号的贡献。当考虑到RA发射的角依赖性和不同共振吸收-发射路径的干扰时,计算得到的微分截面与已有的实验结果一致。
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引用次数: 0
Rotating quantum droplets confined in a harmonic potential 被限制在谐波势中的旋转量子液滴
Pub Date : 2023-11-13 DOI: 10.1103/physreva.108.053309
S. Nikolaou, G. M. Kavoulakis, M. Ögren
We investigate the rotational properties of a two-component, two-dimensional self-bound quantum droplet, which is confined in a harmonic potential and compare them with the well-known problem of a single-component atomic gas with contact interactions. For a fixed value of the trap frequency, choosing some representative values of the atom number, we determine the lowest-energy state, as the angular momentum increases. For a sufficiently small number of atoms, the angular momentum is carried via center-of-mass excitation. For larger values, when the angular momentum is sufficiently small, we observe vortex excitation instead. Depending on the actual atom number, one or more vortices enter the droplet. Beyond some critical value of the angular momentum, however, the droplet does not accommodate more vortices and the additional angular momentum is carried via center-of-mass excitation in a ``mixed'' state. Finally, the excitation spectrum is also briefly discussed.
我们研究了一个被限制在谐波势中的双组分二维自束缚量子液滴的旋转性质,并将其与众所周知的具有接触相互作用的单组分原子气体的问题进行了比较。对于一个固定的陷阱频率值,选择一些原子序数的代表性值,我们确定了最低能量状态,随着角动量的增加。对于足够少的原子,角动量通过质心激发来传递。对于较大的值,当角动量足够小时,我们观察到涡激发。根据实际的原子序数,一个或多个漩涡进入液滴。然而,在角动量的某个临界值之外,液滴不能容纳更多的涡旋,而额外的角动量通过质心激励以“混合”状态携带。最后,对激发谱进行了简要讨论。
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引用次数: 1
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Physical Review
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