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Dissipative preparation of a Floquet topological insulator in an optical lattice via bath engineering 通过熔池工程在光学晶格中耗散制备 Floquet 拓扑绝缘体
IF 5.5 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-08-14 DOI: 10.21468/scipostphys.17.2.052
Alexander Schnell, Christof Weitenberg, André Eckardt
Floquet engineering is an important tool for realizing topologically nontrivial band structures for charge-neutral atoms in optical lattices. However, the preparation of a topological-band-insulator-type state of fermions, with one nontrivial quasi-energy band filled completely and the others empty, is challenging as a result of both driving induced heating as well as imperfect adiabatic state preparation (with the latter induced by the unavoidable gap closing when passing the topological transition). An alternative procedure that has been proposed is to prepare such states dissipatively, i.e. as a steady state that emerges when coupling the system to reservoirs. Here we discuss a concrete scheme that couples the system to a weakly interacting Bose condensate given by second atomic species acting as a heat bath. Our strategy relies on the engineering of the potential for the bath particles, so that they occupy weakly coupled tubes perpendicular to the two-dimensional system. Using Floquet-Born-Markov theory, we show that the resulting nonequilibrium steady state of the driven-dissipative system approximates a topological insulator. We even find indications for the approximate stabilization of an anomalous Floquet topological insulator, a state that is impossible to realize in equilibrium.
浮凸工程是实现光晶格中电荷中性原子拓扑非奇异能带结构的重要工具。然而,要制备费米子的拓扑-带-绝缘体型态(其中一个非三维准能带完全填充,而其他能带为空)是一项挑战,这既是驱动诱导加热的结果,也是绝热态制备不完善的结果(后者是由通过拓扑转变时不可避免的间隙闭合引起的)。已经提出的另一种方法是以耗散方式制备这种状态,即在将系统与储层耦合时出现的稳定状态。在这里,我们将讨论一个具体方案,即把系统与作为热浴的第二原子物种给出的弱相互作用玻色冷凝物耦合。我们的策略依赖于热浴粒子的势能工程,使它们占据垂直于二维系统的弱耦合管。我们利用 Floquet-Born-Markov 理论证明,由此产生的驱动-耗散系统的非平衡稳态近似于拓扑绝缘体。我们甚至发现了近似稳定异常 Floquet 拓扑绝缘体的迹象,而这种状态在平衡状态下是不可能实现的。
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引用次数: 0
Closed universes in two dimensional gravity 二维引力中的封闭宇宙
IF 5.5 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-08-14 DOI: 10.21468/scipostphys.17.2.051
Mykhaylo Usatyuk, Zi-Yue Wang, Ying Zhao
We study closed universes in simple models of two dimensional gravity, such as Jackiw-Teiteilboim (JT) gravity coupled to matter, and a toy topological model that captures the key features of the former. We find there is a stark contrast, as well as some connections, between the perturbative and non-perturbative aspects of the theory. We find rich semi-classical physics. However, when non-perturbative effects are included there is a unique closed universe state in each theory. We discuss possible meanings and interpretations of this observation.
我们研究了二维引力简单模型中的封闭宇宙,如与物质耦合的 Jackiw-Teiteilboim (JT) 引力,以及捕捉到前者关键特征的玩具拓扑模型。我们发现在理论的微扰和非微扰方面存在着鲜明的对比和一些联系。我们发现了丰富的半经典物理学。然而,当包括非微扰效应时,每种理论都有一个独特的封闭宇宙状态。我们讨论了这一观察结果的可能含义和解释。
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引用次数: 0
Top-down and bottom-up: Studying the SMEFT beyond leading order in $1/Lambda^2$ 自上而下和自下而上:在 1/Lambda^2$ 中研究超前阶 SMEFT
IF 5.5 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-08-14 DOI: 10.21468/scipostphyscore.7.3.053
Tyler Corbett
In order to assess the relevance of higher order terms in the Standard Model effective field theory (SMEFT) expansion we consider four new physics models and their impact on the Drell Yan cross section. Of these four, one scalar model has no effect on Drell Yan, a model of fermions while appearing to generate a momentum expansion actually belongs to the vacuum expectation value expansion and so has a nominal effect on the process. The remaining two, a leptoquark and a $Z'$ model exhibit a momentum expansion. After matching these models to dimension-ten we study the how the inclusion of dimension-eight and dimension-ten operators in hypothetical effective field theory fits to the full ultraviolet models impacts fits. We do this both in the top-down approach, and in a very limited approximation to the bottom up approach of the SMEFT to infer the impact of a fully general fit to the SMEFT. We find that for the more weakly coupled models a strictly dimension-six fit is sufficient. In contrast when stronger interactions or lighter masses are considered the inclusion of dimension-eight operators becomes necessary. However, their Wilson coefficients perform the role of nuisance parameters with best fit values which can differ statistically from the theory prediction. In the most strongly coupled theories considered (which are already ruled out by data) the inclusion of dimension-ten operators allows for the measurement of dimension-eight operator coefficients consistent with theory predictions and the dimension-ten operator coefficients then behave as nuisance parameters. We also study the impact of the inclusion of partial next order results, such as dimension-six squared contributions, and find that in some cases they improve the convergence of the series while in others they hinder it.
为了评估标准模型有效场论(SMEFT)扩展中高阶项的相关性,我们考虑了四种新物理模型及其对德雷尔-燕截面的影响。在这四个模型中,一个标量模型对德雷尔-杨没有影响,一个费米子模型虽然看起来产生了动量扩展,但实际上属于真空期望值扩展,因此对过程只有名义上的影响。其余两个模型,一个七夸克模型和一个$Z'$模型则表现出动量膨胀。在把这些模型匹配到十维之后,我们研究了在假设有效场理论拟合全紫外模型时加入八维和十维算子对拟合的影响。我们通过自上而下的方法,以及对 SMEFT 自下而上的方法进行非常有限的近似,来推断对 SMEFT 进行完全一般拟合的影响。我们发现,对于弱耦合模型,严格的六维度拟合就足够了。相反,当考虑到较强的相互作用或较轻的质量时,就有必要加入八维算子。然而,这些算子的威尔逊系数扮演着干扰参数的角色,其最佳拟合值可能与理论预测值存在统计差异。在所考虑的最强耦合理论中(数据已经排除了这些理论),加入十维算子可以测量出与理论预言一致的八维算子系数,而十维算子系数则表现为骚扰参数。我们还研究了加入部分下阶结果(如六维平方贡献)的影响,发现在某些情况下,它们会改善序列的收敛性,而在另一些情况下,它们会阻碍收敛性。
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引用次数: 0
Quenched dynamics and pattern formation in clean and disordered Bogoliubov-de Gennes superconductors 清洁和无序波哥留布夫-德-盖尼斯超导体中的淬火动力学和模式形成
IF 5.5 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-08-13 DOI: 10.21468/scipostphys.17.2.049
Bo Fan, Antonio Miguel García García
We study the quench dynamics of a two dimensional superconductor in a square lattice of size up to $200× 200$ employing the self-consistent time dependent Bogoliubov-de Gennes (BdG) formalism. In the clean limit, the dynamics of the order parameter for short times, characterized by a fast exponential growth and an oscillatory pattern, agrees with the Bardeen-Cooper-Schrieffer (BCS) prediction. However, unlike BCS, we observe for longer times a universal exponential decay of these time oscillations. We show explicitly that the origin of this exponential decay is the full emergence of spatial inhomogeneities of the order parameter characterized by the exponential growth of its variance. The addition of a weak disorder does not alter these results qualitatively. In this region, the spatial inhomogeneities rapidly develop into an intricate spatial structure consisting of ordered fragmented stripes in perpendicular directions where the order parameter is heavily suppressed. As the disorder strength increases, the fragmented stripes gradually turn into a square lattice of approximately circular spatial regions where the condensate is heavily suppressed. A further increase of disorder leads to the deformation and ultimate destruction of this lattice. We show these emergent spatial patterns are sensitive to the underlying lattice structure. We explore suitable settings for the experimental confirmation of these findings.
我们采用自洽的时间相关波哥留布夫-德-热内(BdG)形式主义,研究了尺寸高达 200× 200 美元的正方形晶格中二维超导体的淬火动力学。在清洁极限中,阶次参数在短时间内的动力学特征是快速指数增长和振荡模式,与巴丁-库珀-施里弗(BCS)的预测一致。然而,与 BCS 不同的是,我们观察到在较长时间内,这些时间振荡普遍呈指数衰减。我们明确表明,这种指数衰减的起源是以方差指数增长为特征的阶次参数空间不均匀性的全面出现。加入弱无序并不会从本质上改变这些结果。在这一区域,空间不均匀性迅速发展成一种复杂的空间结构,由垂直方向上有序的碎片条纹组成,其中有序参数受到严重抑制。随着无序度的增加,碎条纹逐渐转变成由近似圆形空间区域组成的方形晶格,其中的凝结物受到严重抑制。无序度的进一步增加导致该晶格变形并最终破坏。我们证明了这些新出现的空间模式对底层晶格结构的敏感性。我们探索了实验证实这些发现的合适设置。
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引用次数: 0
A benchmark study of dioxygen complexes based on coupled cluster and density functional theory 基于耦合簇和密度泛函理论的二氧配合物基准研究
IF 5.5 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-08-13 DOI: 10.21468/scipostchem.3.1.001
Marcel Swart, Marc Reimann
A set of five compounds containing peroxo, superoxo or bis-μ-oxo moieties has been studied in the gas phase using CCSD(T)/aug-cc-pVQZ, also in combination with Goodson’s continued fraction approach. The corresponding analytical frequencies corroborate assignments of bands from experiments, and thus provide a consistent set of reference data that can be used for benchmarking a range of density functional approximations. A total of 100 density functionals have been checked for the general bond lengths, the specific peroxo/superoxo bond lengths, angles, and vibrational frequencies. There is not one density functional that performs equally well for all of these properties, not even within one class of density functionals.
我们使用 CCSD(T)/aug-cc-pVQZ 并结合 Goodson 的持续分数方法,对气相中含有过氧、超氧或双μ-氧原子的五种化合物进行了研究。相应的分析频率证实了实验中的谱带分配,从而提供了一组一致的参考数据,可用于对一系列密度泛函近似值进行基准测试。针对一般键长、特定过氧/超氧键长、角度和振动频率,共检查了 100 个密度函数。没有一种密度泛函在所有这些性质方面表现同样出色,甚至在同一类密度泛函中也是如此。
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引用次数: 0
Normative approaches to neural coding and behavior 神经编码与行为的规范方法
IF 5.5 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-08-13 DOI: 10.21468/scipostphyslectnotes.83
Ann Hermundstad
These are a brief set of lectures notes for lectures given at the Les Houches Summer School in Theoretical Biological Physics in July 2023. In these notes, I provide an introduction to some of the theoretical frameworks that are used to understand how the brain makes sense of incoming signals from the environment to ultimately guide effective behavior. I then discuss how we can apply these frameworks to understand the structure and function of real brains.
这是 2023 年 7 月莱乌什理论生物物理暑期学校(Les Houches Summer School in Theoretical Biological Physics)讲座的简要讲稿。在这些笔记中,我介绍了一些理论框架,这些框架用于理解大脑如何感知来自环境的信号,最终指导有效的行为。然后,我将讨论如何应用这些框架来理解真实大脑的结构和功能。
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引用次数: 0
Edge modes as dynamical frames: charges from post-selection in generally covariant theories 作为动力学框架的边缘模:一般协变理论中后选择的费用
IF 5.5 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-08-13 DOI: 10.21468/scipostphys.17.2.048
Sylvain Carrozza, Stefan Eccles, Philipp A. Hoehn
We develop a framework based on the covariant phase space formalism that identifies gravitational edge modes as dynamical reference frames. As such, they enable both the identification of the associated spacetime region and the imposition of boundary conditions in a gauge-invariant manner. While recent proposals considered the finite region in isolation and sought the maximal corner symmetry algebra compatible with that perspective, we here advocate to regard it as a subregion embedded in a global spacetime and study the symmetries consistent with such an embedding. This leads to advantages and differences. It clarifies that the frame, although appearing as "new" for the subregion, is built out of the field content of the complement. Given a global variational principle, it also permits us to invoke a systematic post-selection procedure, previously used in gauge theory [J. High Energy Phys. 02, 172 (2022)], to produce a consistent dynamics for a subregion with timelike boundary. As in gauge theory, requiring the subregion presymplectic structure to be conserved by the dynamics leads to an essentially unique prescription and unambiguous Hamiltonian charges. Unlike other proposals, this has the advantage that all (field-independent) spacetime diffeomorphisms acting on the subregion remain gauge and integrable (as in the global theory), and generate a first-class constraint algebra realizing the Lie algebra of spacetime vector fields. By contrast, diffeomorphisms acting on the frame-dressed spacetime, that we call relational spacetime, are in general physical, and those that are parallel to the timelike boundary are integrable. Upon further restriction to relational diffeomorphisms that preserve the boundary conditions (and hence are symmetries), we obtain a subalgebra of conserved corner charges. Physically, they correspond to reorientations of the frame and so to changes in the relation between the subregion and its complement. Finally, we explain how the boundary conditions and conserved presymplectic structure can both be encoded into boundary actions. While our formalism applies to any generally covariant theory, we illustrate it on general relativity, and conclude with a detailed comparison of our findings to earlier works.
我们建立了一个基于协变相空间形式主义的框架,将引力边缘模式识别为动力学参照系。因此,它们既能识别相关的时空区域,又能以规整不变的方式施加边界条件。最近的提议是孤立地考虑有限区域,并寻求与这一观点相适应的最大角对称代数,而我们在此主张将其视为嵌入全局时空中的一个子区域,并研究与这种嵌入相一致的对称性。这样做既有好处,也有不同之处。它澄清了框架虽然看起来是 "新 "的子区域,但却是从补集的场内容中建立起来的。考虑到全局变分原理,它还允许我们使用以前在规理论中使用过的系统后选择程序[《高能物理杂志》02, 172 (2022)],为具有类时间边界的子区域产生一致的动力学。与规理论中一样,要求子区域的预折射结构在动力学中得到守恒,就会产生一个本质上唯一的处方和明确的哈密顿电荷。与其他方案不同的是,它的优势在于作用于子区域的所有(与场无关的)时空差分变形都保持了可规整性和可积分性(与全局理论中一样),并生成了实现时空矢量场的李代数的一流约束代数。相比之下,作用于框架压缩时空(我们称之为关系时空)的差分变分一般是物理的,那些平行于时间边界的差分变分是可积分的。在进一步限制保留边界条件(因而是对称的)的关系差分后,我们得到了一个守恒角电荷的子代数。在物理上,它们对应于框架的重新定向,因此也对应于子区域与其补集之间关系的变化。最后,我们解释了如何将边界条件和守恒预折射结构编码为边界作用。虽然我们的形式主义适用于任何一般协变理论,但我们还是在广义相对论中对其进行了说明,并在最后将我们的发现与之前的研究成果进行了详细比较。
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引用次数: 0
Heavy-light $N+1$ clusters of two-dimensional fermions 二维费米子的 N+1$ 重光簇
IF 5.5 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-08-13 DOI: 10.21468/scipostphys.17.2.050
Jules Givois, Andrea Tononi, Dmitry S. Petrov
We study binding of $N$ identical heavy fermions by a light atom in two dimensions assuming zero-range attractive heavy-light interactions. By using the mean-field theory valid for large $N$ we show that the $N+1$ cluster is bound when the mass ratio exceeds $1.074N^2$. The mean-field theory, being scale invariant in two dimensions, predicts only the shapes of the clusters leaving their sizes and energies undefined. By taking into account beyond-mean-field effects we find closed-form expressions for these quantities. We also discuss differences between the Thomas-Fermi and Hartree-Fock approaches for treating the heavy fermions.
我们研究了一个轻原子在二维空间中与 $N$ 相同重费米子的结合,假设重-轻相互作用为零程吸引力。通过使用对大 $N$ 有效的均场理论,我们证明了当质量比超过 1.074N^2$ 时,$N+1$ 簇会被束缚。均场理论在二维尺度上是不变的,它只能预测星团的形状,而不能确定它们的大小和能量。通过考虑均场效应之外的因素,我们找到了这些量的闭式表达式。我们还讨论了托马斯-费米方法和哈特里-福克方法在处理重费米子方面的差异。
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引用次数: 0
CURTAINs flows for flows: Constructing unobserved regions with maximum likelihood estimation CURTAINs 流量换流量:用最大似然估计构建无观测区域
IF 5.5 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-08-12 DOI: 10.21468/scipostphys.17.2.046
Debajyoti Sengupta, Sam Klein, John Andrew Raine, Tobias Golling
Model independent techniques for constructing background data templates using generative models have shown great promise for use in searches for new physics processes at the LHC. We introduce FfF, a major improvement to the CURTAINs method by training the conditional normalizing flow between two side-band regions using maximum likelihood estimation instead of an optimal transport loss. The new training objective improves the robustness and fidelity of the transformed data and is much faster and easier to train. We compare the performance against the previous approach and the current state of the art using the LHC Olympics anomaly detection dataset, where we see a significant improvement in sensitivity over the original CURTAINs method. Furthermore, CURTAINsF4F requires substantially less computational resources to cover a large number of signal regions than other fully data driven approaches. When using an efficient configuration, an order of magnitude more models can be trained in the same time required for ten signal regions, without a significant drop in performance.
利用生成模型构建背景数据模板的独立模型技术在大型强子对撞机的新物理过程搜索中大有可为。我们引入了 FfF,这是对 CURTAINs 方法的重大改进,它使用最大似然估计而不是最优传输损失来训练两个边带区域之间的条件归一化流。新的训练目标提高了转换数据的鲁棒性和保真度,而且训练速度更快、更容易。我们使用大型强子对撞机奥林匹克异常检测数据集比较了先前方法和当前技术水平的性能,发现灵敏度比原始 CURTAINs 方法有显著提高。此外,与其他完全由数据驱动的方法相比,CURTAINsF4F 覆盖大量信号区域所需的计算资源要少得多。使用高效配置时,在训练十个信号区域所需的相同时间内,可以训练更多数量级的模型,而性能不会显著下降。
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引用次数: 0
Towards a data-driven model of hadronization using normalizing flows 利用规范化流量建立数据驱动的强子化模型
IF 5.5 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-08-12 DOI: 10.21468/scipostphys.17.2.045
Christian Bierlich, Philip Ilten, Tony Menzo, Stephen Mrenna, Manuel Szewc, Michael K. Wilkinson, Ahmed Youssef, Jure Zupan
We introduce a model of hadronization based on invertible neural networks that faithfully reproduces a simplified version of the Lund string model for meson hadronization. Additionally, we introduce a new training method for normalizing flows, termed MAGIC, that improves the agreement between simulated and experimental distributions of high-level (macroscopic) observables by adjusting single-emission (microscopic) dynamics. Our results constitute an important step toward realizing a machine-learning based model of hadronization that utilizes experimental data during training. Finally, we demonstrate how a Bayesian extension to this normalizing-flow architecture can be used to provide analysis of statistical and modeling uncertainties on the generated observable distributions.
我们介绍了一种基于可逆神经网络的强子化模型,它忠实地再现了介子强子化的简化版伦德弦模型。此外,我们还介绍了一种新的规范化流动训练方法,称为 MAGIC,它通过调整单次发射(微观)动力学,提高了高层次(宏观)观测值的模拟分布与实验分布之间的一致性。我们的成果是实现基于机器学习的强子化模型的重要一步,该模型在训练过程中利用了实验数据。最后,我们还展示了如何利用贝叶斯方法对这一归一化流架构进行扩展,从而对生成的观测值分布进行统计和建模不确定性分析。
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引用次数: 0
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SciPost Physics
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