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Liouvillian skin effects and fragmented condensates in an integrable dissipative Bose-Hubbard model 可积分耗散玻色-哈伯德模型中的柳维利集肤效应和碎片凝结物
Pub Date : 2024-09-17 DOI: 10.1103/physrevresearch.6.l032067
Christopher Ekman, Emil J. Bergholtz
Strongly interacting nonequilibrium systems are of great fundamental interest, yet their inherent complexity make them notoriously hard to analyze. We demonstrate that the dynamics of the Bose-Hubbard model, which by itself evades solvability, can be solved exactly at any interaction strength in the presence of loss tuned to a rate matching the hopping amplitude. Remarkably, the full solvability of the corresponding Liouvillian, and the integrability of the pertinent effective non-Hermitian Hamiltonian, survives the addition of disorder and generic boundary conditions. By analyzing the Bethe ansatz solutions we find that even weak interactions change the qualitative features of the system, leading to an intricate dynamical phase diagram featuring non-Hermitian Mott-skin effects, disorder induced localization, highly degenerate exceptional points, and a Bose glasslike phase of fragmented condensates. We discuss realistic implementations of this model with cold atoms.
强相互作用的非平衡系统具有重大的基础意义,但其固有的复杂性使其难以分析。我们证明,玻色-哈伯德模型的动力学本身是不可解的,但在任何相互作用强度下,只要损耗调谐到与跳跃振幅相匹配的速率,就能精确求解。值得注意的是,相应刘维模型的完全可解性以及相关有效非赫米梯哈密顿的可积分性,在加入无序和一般边界条件后依然存在。通过分析贝特方差解,我们发现即使是微弱的相互作用也会改变系统的定性特征,从而导致错综复杂的动力学相图,其特点包括非赫米梯莫特皮效应、无序诱导的局域化、高度退化的例外点以及碎片状凝结物的玻色玻璃相。我们讨论了该模型与冷原子的实际应用。
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引用次数: 0
Error mitigated metasurface-based randomized measurement schemes 减少误差的元表面随机测量方案
Pub Date : 2024-09-17 DOI: 10.1103/physrevresearch.6.033310
Hang Ren, Yipei Zhang, Ze Zheng, Cuifeng Ying, Lei Xu, Mohsen Rahmani, K. Birgitta Whaley
Estimating properties of quantum states via randomized measurements has become a significant part of quantum information science. In this paper, we design an innovative approach leveraging metasurfaces to perform randomized measurements on photonic qubits, together with error mitigation techniques that suppress realistic metasurface measurement noise. Through fidelity and purity estimation, we confirm the capability of metasurfaces to implement randomized measurements and the unbiased nature of our error-mitigated estimator. Our findings show the potential of metasurface-based randomized measurement schemes in achieving robust and resource-efficient estimation of quantum state properties.
通过随机测量来估计量子态的属性已成为量子信息科学的重要组成部分。在本文中,我们设计了一种利用元表面对光子量子比特进行随机测量的创新方法,以及抑制现实元表面测量噪声的误差缓解技术。通过保真度和纯度估计,我们证实了元表面实现随机测量的能力,以及我们的误差缓解估计器的无偏性。我们的研究结果表明,基于元表面的随机测量方案在实现量子态属性的稳健和资源节约型估计方面具有潜力。
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引用次数: 0
Wasserstein speed limits for Langevin systems 朗文系统的瓦瑟斯坦速度限制
Pub Date : 2024-09-17 DOI: 10.1103/physrevresearch.6.033308
Ralph Sabbagh, Olga Movilla Miangolarra, Tryphon T. Georgiou
Physical systems transition between states with finite speed that is limited by energetic costs. In this work, we derive bounds on transition times for general Langevin systems that admit a decomposition into reversible and irreversible dynamics, in terms of the Wasserstein distance between states and the energetic costs associated with respective reversible and irreversible currents. For illustration we discuss Brownian particles subject to arbitrary forcing and an RLC circuit with time-varying inductor.
物理系统在不同状态之间的转换速度是有限的,这受到能量成本的限制。在这项工作中,我们根据状态间的瓦瑟斯坦距离以及与各自可逆和不可逆电流相关的能量成本,推导出了一般朗文系统的过渡时间界限,这些系统可以分解为可逆和不可逆动力学。为了说明问题,我们讨论了受到任意强迫的布朗粒子和具有时变电感的 RLC 电路。
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引用次数: 0
Trotter error bounds and dynamic multi-product formulas for Hamiltonian simulation 哈密顿模拟的特洛特误差边界和动态多乘积公式
Pub Date : 2024-09-17 DOI: 10.1103/physrevresearch.6.033309
Sergiy Zhuk, Niall F. Robertson, Sergey Bravyi
Multi-product formulas (MPFs) are linear combinations of Trotter circuits offering high-quality simulation of Hamiltonian time evolution with fewer Trotter steps. Here we report two contributions aimed at making multi-product formulas more viable for near-term quantum simulations. First, we extend the theory of Trotter error with commutator scaling developed by Childs et al. [A. M. Childs et al., Phys. Rev. X 11, 011020 (2021)] to multi-product formulas. Our result implies that multi-product formulas can achieve a quadratic reduction of Trotter error in 1-norm (nuclear norm) on arbitrary time intervals compared with the regular product formulas without increasing the required circuit depth or qubit connectivity. The number of circuit repetitions grows only by a constant factor. Second, we introduce dynamic multi-product formulas with time-dependent coefficients chosen to minimize a certain efficiently computable proxy for the Trotter error. We use a minimax estimation method to make dynamic multi-product formulas robust to uncertainty from algorithmic errors, sampling, and hardware noise. We call this method the minimax MPF and we provide a rigorous bound on its error.
多乘积公式(MPF)是特罗特电路的线性组合,能以较少的特罗特步骤高质量地模拟哈密尔顿时间演化。我们在此报告两项贡献,旨在使多积公式在近期量子模拟中更加可行。首先,我们将 Childs 等人[A. M. Childs 等人,Phys. Rev. X 11, 011020 (2021)]开发的具有换向器缩放的特罗特误差理论扩展到多乘积公式。我们的结果意味着,与常规乘积公式相比,多乘积公式可以在任意时间间隔上实现 1-正态(核正态)特罗特误差的四次方减少,而无需增加所需的电路深度或量子比特连接性。电路重复次数只增加一个常数因子。其次,我们引入了动态多乘积公式,并选择了随时间变化的系数,以最小化某种可有效计算的特罗特误差代理。我们采用最小估计法,使动态多乘法公式对算法误差、采样和硬件噪声带来的不确定性具有鲁棒性。我们称这种方法为 minimax MPF,并为其误差提供了严格的约束。
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引用次数: 0
Bayesian regionalization of urban mobility networks 城市交通网络的贝叶斯区域化
Pub Date : 2024-09-16 DOI: 10.1103/physrevresearch.6.033307
Sebastian Morel-Balbi, Alec Kirkley
A common method for delineating urban and suburban boundaries is to identify clusters of spatial units that are highly interconnected in a network of mobility flows, each cluster signaling a cohesive economic submarket. It is critical that the methods employed for this task are principled and free of unnecessary tunable parameters to avoid unwanted inductive biases while remaining scalable for high-resolution mobility data. Here, we systematically assess the benefits and limitations of a wide array of stochastic block models (SBMs)—a family of principled, nonparametric models for identifying clusters in networks—for regionalization with mobility data. We find that the data compression capability and relative performance of different SBM variants heavily depend on the spatial extent of the mobility network, its aggregation scale, and the method used for weighting network edges. By constructing a measure to assess the degree to which a network partition violates spatial contiguity, we find that traditional SBMs may produce substantial spatial discontiguities that require extensive postprocessing to make them suitable for regionalization. We propose a fast nonparametric agglomerative algorithm to alleviate this issue, achieving data compression close to that of unconstrained SBM models while ensuring spatial contiguity, benefiting from a deterministic optimization procedure, and being generalizable to wide range of community detection objective functions.
划分城市和郊区边界的常用方法是识别在流动网络中高度相互连接的空间单位集群,每个集群代表一个具有凝聚力的经济子市场。至关重要的是,这项任务所采用的方法必须有原则性,并且没有不必要的可调参数,以避免不必要的归纳偏差,同时还能对高分辨率流动数据保持可扩展性。在此,我们系统地评估了各种随机区块模型(SBMs)的优势和局限性--SBMs 是一系列原则性的非参数模型,用于识别网络中的集群,从而利用流动性数据进行区域化。我们发现,不同 SBM 变体的数据压缩能力和相对性能在很大程度上取决于流动性网络的空间范围、其聚合规模以及用于加权网络边缘的方法。通过构建一种评估网络分区违反空间连续性程度的方法,我们发现传统的 SBM 可能会产生严重的空间不连续,需要进行大量的后处理才能使其适用于区域化。我们提出了一种快速的非参数聚类算法来缓解这一问题,在确保空间连续性的同时,实现了接近无约束 SBM 模型的数据压缩,受益于确定性优化程序,并可通用于各种群落检测目标函数。
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引用次数: 0
Adiabatic expansion cooling of antihydrogen 反氢的绝热膨胀冷却
Pub Date : 2024-09-16 DOI: 10.1103/physrevresearch.6.l032065
M. Ahmadiet al.(The ALPHA Collaboration)
Magnetically trapped antihydrogen atoms can be cooled by expanding the volume of the trap in which they are confined. We report a proof-of-principle experiment in which antiatoms are deliberately released from expanded and static traps. Antiatoms escape at an average trap depth of 0.08±0.01K (statistical errors only) from the expanded trap while they escape at average depths of 0.22±0.01 and 0.17±0.01K from two different static traps. (We employ temperature-equivalent energy units.) Detailed simulations qualitatively agree with the escape times measured in the experiment and show a decrease of 38% (statistical error<0.2%) in the mean energy of the population after the trap expansion without significantly increasing antiatom loss compared to typical static confinement protocols. This change is bracketed by the predictions of one-dimensional and three-dimensional semianalytic adiabatic expansion models. These experimental, simulational, and model results are consistent with obtaining an adiabatically cooled population of antihydrogen atoms that partially exchanged energy between axial and transverse degrees of freedom during the trap expansion. This result is important for future antihydrogen gravitational experiments which rely on adiabatic cooling, and it will enable antihydrogen cooling beyond the fundamental limits of laser cooling.
磁性捕获的反氢原子可以通过扩大捕获器的体积来冷却。我们报告了一项原理验证实验,在该实验中,反原子被有意地从膨胀陷阱和静态陷阱中释放出来。反原子从膨胀阱逸出的平均深度为 0.08±0.01K(仅统计误差),而从两个不同的静态阱逸出的平均深度分别为 0.22±0.01K 和 0.17±0.01K。(详细的模拟结果与实验中测得的逸出时间基本吻合,并表明与典型的静态束缚方案相比,阱膨胀后原子群的平均能量降低了 38%(统计误差为 0.2%),而反原子的损失却没有显著增加。这一变化与一维和三维半解析绝热膨胀模型的预测相一致。这些实验、模拟和模型结果与获得的绝热冷却反氢原子群一致,它们在阱膨胀过程中部分交换了轴向和横向自由度之间的能量。这一结果对于未来依赖绝热冷却的反氢引力实验非常重要,它将使反氢冷却超越激光冷却的基本极限。
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引用次数: 0
Optimizing quantum tomography via shadow inversion 通过阴影反演优化量子断层成像
Pub Date : 2024-09-16 DOI: 10.1103/physrevresearch.6.033301
Andrea Caprotti, Joshua Morris, Borivoje Dakić
In quantum information theory, the accurate estimation of observables is pivotal for quantum information processing, playing a crucial role in computational and communication protocols. This work introduces a technique for estimating such objects, leveraging an underutilized resource in the inversion map of classical shadows that greatly refines the estimation cost of target observables without incurring any additional overhead. A generalized framework for computing and optimizing additional degrees of freedom in the homogeneous space of the shadow inversion is given that may be adapted to a variety of near-term problems. In the special case of local measurement strategies, we show feasible optimization leading to an exponential separation in sample complexity versus the standard approach and, in an exceptional case, we give nontrivial examples of optimized postprocessing for local measurements, achieving the same efficiency as the global Cliffords shadows.
在量子信息论中,观测值的精确估算对量子信息处理至关重要,在计算和通信协议中发挥着关键作用。这项工作介绍了一种估算此类对象的技术,它利用了经典阴影反转图中未充分利用的资源,在不产生任何额外开销的情况下大大提高了目标观测值的估算成本。本文给出了一个通用框架,用于计算和优化阴影反演同质空间中的额外自由度,可适用于各种近期问题。在局部测量策略的特殊情况下,我们展示了可行的优化方法,与标准方法相比,样本复杂度呈指数级分离;在特殊情况下,我们给出了局部测量优化后处理的非难例,实现了与全局克利福德阴影相同的效率。
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引用次数: 0
Magnetic excitation in the hyperkagome antiferromagnet Mn3RhSi 超卡戈米反铁磁体 Mn3RhSi 中的磁激发
Pub Date : 2024-09-16 DOI: 10.1103/physrevresearch.6.033303
Shin-ichi Shamoto, Hiroki Yamauchi, Kazuki Iida, Kazuhiko Ikeuchi, Koji Kaneko, Yu-Sheng Chen, Shin-ichiro Yano, Pai-Tse Hsu, Min Kai Lee, Amelia Elisabeth Hall, Geetha Balakrishnan, Lieh-Jeng Chang
In a paramagnetic state of a hyperkagome lattice antiferromagnet Mn3RhSi, magnetic diffuse scattering by magnetic short-range order is observed over a wide temperature range of approximately 500 K above the Néel temperature of 190 K. We have studied the magnetic excitation with a single crystal in a wide energy range from 0.3 to 140 meV by inelastic neutron scattering, where the prominent inelastic neutron-scattering signal is observed at Q=(2,0,0). The inelastic scattering intensity integrated for two of twelve magnon modes leads to a localized magnetic moment of about 5 μB per Mn site, although the long-range ordered magnetic moment is only 2.61 μB at 4 K. The result suggests that a large part of the magnetic moment does not order in Mn3RhSi, possibly due to the geometrical spin frustration of the hyperkagome lattice.
我们通过非弹性中子散射研究了单晶体在 0.3 至 140 meV 宽能量范围内的磁激发,在 Q=(2,0,0) 处观察到了突出的非弹性中子散射信号。尽管在 4 K 时长程有序磁矩仅为 2.61 μB,但对十二种磁子模式中的两种模式进行积分的非弹性散射强度可得出每个锰位点的局部磁矩约为 5 μB。
{"title":"Magnetic excitation in the hyperkagome antiferromagnet Mn3RhSi","authors":"Shin-ichi Shamoto, Hiroki Yamauchi, Kazuki Iida, Kazuhiko Ikeuchi, Koji Kaneko, Yu-Sheng Chen, Shin-ichiro Yano, Pai-Tse Hsu, Min Kai Lee, Amelia Elisabeth Hall, Geetha Balakrishnan, Lieh-Jeng Chang","doi":"10.1103/physrevresearch.6.033303","DOIUrl":"https://doi.org/10.1103/physrevresearch.6.033303","url":null,"abstract":"In a paramagnetic state of a hyperkagome lattice antiferromagnet <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><msub><mi>Mn</mi><mn>3</mn></msub><mi>RhSi</mi></mrow></math>, magnetic diffuse scattering by magnetic short-range order is observed over a wide temperature range of approximately 500 K above the Néel temperature of 190 K. We have studied the magnetic excitation with a single crystal in a wide energy range from 0.3 to 140 meV by inelastic neutron scattering, where the prominent inelastic neutron-scattering signal is observed at <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mi mathvariant=\"bold\">Q</mi><mo>=</mo><mo>(</mo><mn>2</mn><mo>,</mo><mn>0</mn><mo>,</mo><mn>0</mn><mo>)</mo></mrow></math>. The inelastic scattering intensity integrated for two of twelve magnon modes leads to a localized magnetic moment of about 5 <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><msub><mi>μ</mi><mi mathvariant=\"normal\">B</mi></msub></math> per Mn site, although the long-range ordered magnetic moment is only 2.61 <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><msub><mi>μ</mi><mi mathvariant=\"normal\">B</mi></msub></math> at 4 K. The result suggests that a large part of the magnetic moment does not order in <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><msub><mi>Mn</mi><mn>3</mn></msub><mi>RhSi</mi></mrow></math>, possibly due to the geometrical spin frustration of the hyperkagome lattice.","PeriodicalId":20546,"journal":{"name":"Physical Review Research","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142248865","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: 0
Stabilization of U 5f2 configuration in UTe2 through U 6d dimers in the presence of Te2 chains 在 Te2 链存在下通过 U 6d 二聚体稳定 UTe2 中的 U 5f2 构型
Pub Date : 2024-09-16 DOI: 10.1103/physrevresearch.6.033299
Denise S. Christovam, Martin Sundermann, Andrea Marino, Daisuke Takegami, Johannes Falke, Paulius Dolmantas, Manuel Harder, Hlynur Gretarsson, Bernhard Keimer, Andrei Gloskovskii, Maurits W. Haverkort, Ilya Elfimov, Gertrud Zwicknagl, Alexander V. Andreev, Ladislav Havela, Mitchell M. Bordelon, Eric D. Bauer, Priscila F. S. Rosa, Andrea Severing, Liu Hao Tjeng
We investigate the topological superconductor candidate UTe2 using high-resolution valence-band resonant inelastic x-ray scattering at the U M4,5 edges. We observe atomiclike low-energy excitations that support the correlated nature of this unconventional superconductor. These excitations originate from the U 5f2 configuration, which is unexpected since the short Te2-Te2 distances exclude Te2 being 2. By utilizing the photoionization cross-section dependence of the photoemission spectra in combination with band structure calculations, we infer that the stabilization of the U 5f2 configuration is due to the U 6d bonding states in the U dimers acting as a charge reservoir. Our results emphasize that the description of the physical properties should commence with a 5f2 ansatz.
我们利用 U M4,5 边缘的高分辨率价带共振非弹性 X 射线散射研究了拓扑超导体候选物质 UTe2。我们观察到类似原子的低能激发,支持这种非常规超导体的相关性质。这些激发源于 U 5f2 构型,这出乎我们的意料,因为 Te2-Te2 的短距离排除了 Te2 是 2-的可能性。通过利用光发射光谱的光离子化截面依赖性并结合带状结构计算,我们推断出 U 5f2 构型的稳定是由于 U 二聚体中的 U 6d 键合态充当了电荷库。我们的研究结果强调,对物理特性的描述应从 5f2 定式开始。
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引用次数: 0
Efficient navigation of cargo-towing microswimmer in non-uniform flow fields 货物拖曳微型推流器在非均匀流场中的高效导航
Pub Date : 2024-09-16 DOI: 10.1103/physrevresearch.6.033305
Krongtum Sankaewtong, John J. Molina, Ryoichi Yamamoto
The vision of deploying miniature vehicles within the human body for intricate tasks holds tremendous promise across engineering and medical domains. Herein, optimal navigation of a cargo-towing swimmer under an applied zig-zag flow is studied by employing direct numerical simulations coupled with a deep reinforcement learning algorithm. Tasks include navigation in flow and shear-gradient directions. We initially explore combinations of state inputs, finding that optimal navigation necessitates swimmers to perceive hydrodynamics and alignment, surpassing reliance solely on hydrodynamic signals while considering their memories. Next, we study combinations of action spaces, allowing dynamic changes in swimming and/or rotational velocities by tuning B1 and C1 parameters of the squirmer model, respectively. By keeping both parameters fixed, cargo-towing swimmers demonstrate superior performance in the flow direction compared to swimmers without load due to tumbling movements influenced by shear flow. In the shear-gradient direction, swimmers without load outperform cargo-towing swimmers, with performance decreasing as load length increases. Across the combination of allowing B1 and C1 to change, the policies from solely dynamic B1 actions demonstrate superior navigation. The policies are then used as a showcase against naive cargo-towing and inert colloidal chains. A t-distributed stochastic neighbor embedding analysis reveals the complex interplay between perceived hydrodynamic signals and swimmer position. In the flow direction, swimmers align effectively with regions of maximum velocity, while in the shear-gradient direction, periodic transitions from minimum to maximum state values occur. Comparing pullers, pushers, and neutral swimmers, cargo-towing swimmers show a reversal in swimming velocity trends, with pullers outpacing neutral and pusher swimmers, irrespective of load lengths.
在人体内部署微型车辆以执行复杂任务的愿景在工程和医疗领域大有可为。本文通过直接数值模拟与深度强化学习算法相结合的方法,研究了在应用之字形流下货物拖曳游泳者的最佳导航。任务包括在流动和剪切梯度方向上的导航。我们首先探索了状态输入的组合,发现最佳导航需要游泳者感知流体力学和排列,在考虑其记忆的同时,超越了对流体力学信号的单纯依赖。接下来,我们研究了动作空间的组合,通过分别调整松鼠模型的 B1 和 C1 参数,使游泳速度和/或旋转速度发生动态变化。在保持这两个参数不变的情况下,货物拖曳游泳者与无负载游泳者相比,在流动方向上表现出更优越的性能,这是由于翻滚运动受到剪切流的影响。在剪切梯度方向,无负载游泳者的性能优于货物拖曳游泳者,随着负载长度的增加,性能下降。在允许 B1 和 C1 变化的组合中,仅有动态 B1 动作的策略表现出更优越的导航性能。这些策略随后被用来与天真的货物拖曳和惰性胶体链进行对比。t 分布随机邻域嵌入分析揭示了感知到的流体动力信号与游泳者位置之间复杂的相互作用。在流动方向上,游泳者有效地与最大速度区域保持一致,而在剪切梯度方向上,则出现了从最小状态值到最大状态值的周期性过渡。比较拉动者、推动者和中性游泳者,货物拖曳游泳者的游泳速度趋势发生了逆转,拉动者的速度超过了中性游泳者和推动者,与载荷长度无关。
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引用次数: 0
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Physical Review Research
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