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Reconfigurable synthetic dimension frequency lattices in an integrated lithium niobate ring cavity 集成式铌酸锂环形腔中可重新配置的合成维度频率晶格
IF 5.5 1区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2024-06-11 DOI: 10.1038/s42005-024-01676-9
Hiep X. Dinh, Armandas Balčytis, Tomoki Ozawa, Yasutomo Ota, Guanghui Ren, Toshihiko Baba, Satoshi Iwamoto, Arnan Mitchell, Thach G. Nguyen
Harnessing non-spatial properties of photons as if they represent an additional independent coordinate underpins the emerging synthetic dimension approach. It enables probing of higher-dimensional physical models within low-dimensional devices, such as on a planar chip where this method is relatively nascent. We demonstrate an integrated thin-film lithium niobate ring resonator that, under dynamic modulation, simulates a tight-binding model with its discrete frequency modes representing lattice sites. Inter-mode coupling, and the simulated lattice geometry, can be reconfigured by controlling the modulating signals. Up to a quasi-3D lattice connectivity with controllable gauge potentials has been achieved by simultaneous synchronized nearest-, second- and third-nearest-neighbor coupling, and verified by acquiring synthetic band structures. Development of synthetic frequency dimension devices in the thin-film lithium niobate photonic integration platform is a key step in increasing the complexity of topological models achievable on a chip, combining efficient electro-optic mode coupling with non-linear effects for long-range mode interactions. Lithium niobate on insulator (LNOI) is emerging as a powerful photonic integration platform for synthetic dimension approaches that enable probing of higher-dimensional physical models within low-dimensional devices. The authors present a LNOI ring device, whose frequency modes represent lattice sites for versatile simulation of tight-binding models with up to three-dimensional connectivity.
利用光子的非空间特性,就好像它们代表了一个额外的独立坐标,是新兴合成维度方法的基础。它可以在低维设备中探测高维物理模型,例如在平面芯片上,这种方法相对较新。我们展示了一种集成薄膜铌酸锂环形谐振器,在动态调制下,它模拟了一种紧密结合模型,其离散频率模式代表晶格位点。通过控制调制信号,可以重新配置模式间耦合和模拟晶格几何形状。通过同步近邻、第二近邻和第三近邻耦合,实现了具有可控规电势的准三维晶格连通性,并通过获取合成带状结构进行了验证。在铌酸锂薄膜光子集成平台上开发合成频率维器件是提高芯片拓扑模型复杂性的关键一步,它将高效电光模式耦合与长程模式相互作用的非线性效应结合在一起。绝缘体上的铌酸锂(LNOI)正在成为一种强大的光子集成平台,可用于合成维度方法,从而在低维器件中探测高维物理模型。作者介绍了一种 LNOI 环形器件,其频率模式代表晶格位点,可对具有高达三维连通性的紧密结合模型进行多功能模拟。
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引用次数: 0
Unveiling universal aspects of the cellular anatomy of the brain 揭开大脑细胞解剖学的普遍面纱
IF 5.5 1区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2024-06-10 DOI: 10.1038/s42005-024-01665-y
Helen S. Ansell, István A. Kovács
Recent cellular-level volumetric brain reconstructions have revealed high levels of anatomic complexity. Determining which structural aspects of the brain to focus on, especially when comparing with computational models and other organisms, remains a major challenge. Here we quantify aspects of this complexity and show evidence that brain anatomy satisfies universal scaling laws, establishing the notion of structural criticality in the cellular structure of the brain. Our framework builds upon understanding of critical systems to provide clear guidance in selecting informative structural properties of cellular brain anatomy. As an illustration, we obtain estimates for critical exponents in the human, mouse and fruit fly brains and show that they are consistent between organisms, to the extent that data limitations allow. Such universal quantities are robust to many of the microscopic details of the cellular structures of individual brains, providing a key step towards generative computational models of the cellular structure of the brain, and also clarifying in which sense one animal may be a suitable anatomic model for another. Cellular-level partial brain reconstructions have revealed the anatomic complexity of the brains of multiple organisms. Here, the authors quantify aspects of this complexity, demonstrating that across organisms the cellular structure of the brain shows universal scaling properties associated with being in the vicinity of criticality.
最近的细胞级大脑容积重建揭示了解剖结构的高度复杂性。确定大脑结构的哪些方面需要重点关注,尤其是在与计算模型和其他生物进行比较时,这仍然是一个重大挑战。在这里,我们量化了这种复杂性的各个方面,并展示了大脑解剖学满足普遍缩放定律的证据,从而确立了大脑细胞结构临界性的概念。我们的框架以对临界系统的理解为基础,为选择大脑细胞解剖学的信息结构特性提供了明确的指导。举例来说,我们获得了人类、小鼠和果蝇大脑临界指数的估计值,并表明在数据允许的范围内,这些指数在不同生物之间是一致的。这种通用量对单个大脑细胞结构的许多微观细节都很稳健,为大脑细胞结构计算模型的生成迈出了关键一步,同时也阐明了一种动物在何种意义上适合作为另一种动物的解剖模型。细胞水平的部分大脑重建揭示了多种生物大脑解剖结构的复杂性。在此,作者对这种复杂性的各个方面进行了量化,证明在各种生物中,大脑的细胞结构显示出与临界附近相关的普遍缩放特性。
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引用次数: 0
Dynamic metastable vortex states in interacting vortex lines 相互作用涡线中的动态可变涡态
IF 5.5 1区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2024-06-08 DOI: 10.1038/s42005-024-01645-2
Sergei Kozlov, Jérôme Lesueur, Dimitri Roditchev, Cheryl Feuillet-Palma
The electron transport in current-biased superconducting nano-bridges is determined by the motion of the quantum vortex confined in the internal disorder landscape. Here we consider theoretically a simple case of a single or two neighbouring linear defects crossing a nano-bridge. The strong anharmonicity of the vortex motion along the defect leads, upon radio frequency (RF) excitation, to fractional Shapiro steps. In the case of two defects, the vortex motion becomes correlated, characterised by metastable states that can be locked to the RF-drive. The lock-unlock process causes sudden voltage jumps and drops in the voltage-current characteristics that can be observed in experiments. We analyse the parameters that promote these metastable dynamic states and discuss their possible experimental realisations. Vortex motion defines transport properties of type II superconductors. Here, authors study the effect of vortex synchronisation with an external periodic drive, that leads to the effects of integer and fractional Shapiro steps and even creates metastable states.
电流偏压超导纳米桥中的电子传输是由内部无序景观中的量子涡旋运动决定的。在这里,我们从理论上考虑了单个或两个相邻线性缺陷穿过纳米桥的简单情况。在射频(RF)激励下,涡旋沿缺陷运动的强非谐性导致了分数夏皮罗阶跃。在有两个缺陷的情况下,涡旋运动变得相互关联,其特征是可被射频驱动锁定的可变状态。锁定-解锁过程会导致电压-电流特性的突然跳变和下降,这可以在实验中观察到。我们分析了促进这些瞬变动态状态的参数,并讨论了其可能的实验现实。涡旋运动决定了 II 型超导体的传输特性。在此,作者研究了涡旋与外部周期性驱动同步的效应,这种效应会导致整数和分数夏皮罗阶跃效应,甚至产生陨变态。
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引用次数: 0
Discovery of charge order above room-temperature in the prototypical kagome superconductor La(Ru1−xFex)3Si2 在原型可果美超导体 La(Ru1-xFex)3Si2 中发现高于室温的电荷阶数
IF 5.5 1区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2024-06-08 DOI: 10.1038/s42005-024-01673-y
I. Plokhikh, C. Mielke III, H. Nakamura, V. Petricek, Y. Qin, V. Sazgari, J. Küspert, I. Biało, S. Shin, O. Ivashko, J. N. Graham, M. v. Zimmermann, M. Medarde, A. Amato, R. Khasanov, H. Luetkens, M. H. Fischer, M. Z. Hasan, J.-X. Yin, T. Neupert, J. Chang, G. Xu, S. Nakatsuji, E. Pomjakushina, D. J. Gawryluk, Z. Guguchia
The kagome lattice is an intriguing and rich platform for discovering, tuning and understanding the diverse phases of quantum matter, crucial for advancing modern and future electronics. Despite considerable efforts, accessing correlated phases at room temperature has been challenging. Using single-crystal X-ray diffraction, we discovered charge order above room temperature in La(Ru1−xFex)3Si2 (x = 0, 0.01, 0.05), where charge order related to out-of-plane Ru atom displacements appears below TCO,I  ≃ 400 K. The secondary charge ordered phase emerges below TCO,II  ≃ 80–170 K. Furthermore, first principles calculations reveal both the kagome flat band and the van Hove point near the Fermi energy in LaRu3Si2, driven by Ru-dz2 orbitals. Our results identify LaRu3Si2 as the kagome superconductor with the highest known charge ordering temperature, offering a promising avenue for researching room temperature quantum phases and developing related technologies. The study focuses on the charge order in LaRu3Si2, a material with a kagome lattice structure, discovering a charge-ordered state that persists at or above room temperature. This finding classifies LaRu3Si2 as the kagome superconductor with the highest charge ordering temperature, suggesting potential for applications in devices operating at normal environmental conditions without the need for cooling.
卡戈米晶格是发现、调整和理解量子物质各种相位的一个有趣而丰富的平台,对于推动现代和未来电子学的发展至关重要。尽管做出了大量努力,但在室温下获得相关相位一直是个挑战。利用单晶 X 射线衍射,我们在 La(Ru1-xFex)3Si2 (x = 0, 0.01, 0.05) 中发现了高于室温的电荷有序,其中与面外 Ru 原子位移相关的电荷有序出现在 TCO,I ≃ 400 K 以下。此外,第一性原理计算还揭示了 LaRu3Si2 在 Ru-dz2 轨道的驱动下,在费米能附近出现的 kagome 平带和 van Hove 点。我们的研究结果表明,LaRu3Si2 是已知电荷有序温度最高的卡戈米超导体,为室温量子相的研究和相关技术的开发提供了一个前景广阔的途径。这项研究的重点是具有卡戈米晶格结构的材料 LaRu3Si2 中的电荷有序性,发现了一种在室温或室温以上持续存在的电荷有序状态。这一发现将 LaRu3Si2 归类为电荷有序温度最高的 kagome superconductor 材料,表明它有望应用于无需冷却即可在正常环境条件下运行的设备中。
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引用次数: 0
Density profile of 3He in a nanoscale 3He-4He superfluid film determined by neutron scattering 通过中子散射确定纳米级 3He-4He 超流体薄膜中 3He 的密度曲线
IF 5.5 1区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2024-06-07 DOI: 10.1038/s42005-024-01683-w
Oleg Kirichek, Christopher R. Lawson, Christy J. Kinane, Andrew J. Caruana, Sean Langridge, Timothy R. Charlton, Peter V. E. McClintock
For decades, superfluid helium has attracted the interest of the scientific community as an extremely pure realisation of a quantum liquid, only accessible at temperatures close to absolute zero. Previously, helium films have only been observed directly using X-rays. However, this method is limited to temperatures above 1 K due to the high levels of energy deposition, and it also suffers from an inability to distinguish between helium isotopes. Here we show that a 3He layer on top of a phase separated mixture film at 170 mK gradually dissolves into the 4He with increasing temperature. We also observe an anomaly in film behaviour near 300 mK and unexpected restoration of the layered structure at 1.5 K which is consistent with a re-entrant phase transition leading to the suppression of superfluidity in the film near 300 mK. Our successful application of neutron scattering to study helium films at ultra-low temperatures opens up new possibilities for future research. Superfluidity, a liquid exhibiting frictionless flow, is so far limited to observations in low-temperature 3He and 4He, where the underlying mechanisms governing the quantum state are complex and different for each isotope, making for a fascinating but challenging phenomenon to study experimentally. The authors use isotope-sensitive neutron reflectometry to investigate mixed 3He/4He superfluid He films on a Si surface, and resolve the structural features and phase transitions that occur with changing temperature.
几十年来,超流体氦一直吸引着科学界的兴趣,因为它是一种纯度极高的量子液体,只有在接近绝对零度的温度下才能获得。以前,人们只能用 X 射线直接观测氦薄膜。然而,由于能量沉积水平较高,这种方法仅限于 1 K 以上的温度,而且无法区分氦的同位素。在这里,我们展示了在 170 mK 温度下,相分离混合物薄膜顶部的 3He 层会随着温度的升高逐渐溶解到 4He 中。我们还在 300 mK 附近观察到了薄膜行为的异常现象,并在 1.5 K 时意外地恢复了层状结构,这与 300 mK 附近导致薄膜超流动性被抑制的重入相变是一致的。我们成功地将中子散射应用于研究超低温下的氦薄膜,为未来的研究开辟了新的可能性。超流态是一种表现出无摩擦流动的液体,迄今为止仅限于在低温3He和4He中观察到,其量子态的基本机制非常复杂,而且每种同位素都不相同,因此实验研究超流态现象非常吸引人,但也极具挑战性。作者利用同位素敏感中子反射仪研究了硅表面上的 3He/4He 混合超流氦薄膜,并解析了随着温度变化而出现的结构特征和相变。
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引用次数: 0
Magnetic Dirac semimetal state of (Mn,Ge)Bi2Te4 (Mn,Ge)Bi2Te4的磁性狄拉克半金属态
IF 5.5 1区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2024-06-05 DOI: 10.1038/s42005-024-01675-w
Alexander S. Frolov, Dmitry Yu. Usachov, Artem V. Tarasov, Alexander V. Fedorov, Kirill A. Bokai, Ilya Klimovskikh, Vasily S. Stolyarov, Anton I. Sergeev, Alexander N. Lavrov, Vladimir A. Golyashov, Oleg E. Tereshchenko, Giovanni Di Santo, Luca Petacсia, Oliver J. Clark, Jaime Sanchez-Barriga, Lada V. Yashina
The ability to finely tune the properties of magnetic topological insulators (TIs) is crucial for quantum electronics. We studied solid solutions with a general formula GexMn1-xBi2Te4 between two isostructural Z2 TIs, magnetic MnBi2Te4 and nonmagnetic GeBi2Te4 with Z2 invariants of 1;000 and 1;001, respectively. We observed linear x-dependent magnetic properties, composition-independent pairwise exchange interactions, and topological phase transitions (TPTs) between topologically nontrivial phases and the semimetal state. The TPTs are driven purely by the variation of orbital contributions. By tracing the x-dependent Bi 6p contribution to the states near the fundamental gap, the effective spin-orbit coupling variation is extracted. The gapless state observed at x = 0.42 closely resembles a Dirac semimetal above the Néel temperature and shows a magnetic gap below, which is clearly visible in raw photoemission data. The observed behavior demonstrates an ability to precisely control topological and magnetic properties of TIs. Topological insulators with ordered moments of embedded magnetic atoms are viable platforms for quantum electronics, but the practical applications are restricted by the size of their crystals. The authors synthesize a Z2 topological insulator GexMn1-xBi2Te4 in the form of a large crystal with high structural perfection and tunable magnetic and electronic properties.
微调磁性拓扑绝缘体(TI)特性的能力对量子电子学至关重要。我们研究了两种等结构 Z2 TI(磁性 MnBi2Te4 和非磁性 GeBi2Te4)之间通式为 GexMn1-xBi2Te4 的固溶体,它们的 Z2 不变式分别为 1;000 和 1;001。我们观察到了与 x 有关的线性磁性、与组成无关的成对交换相互作用以及拓扑非三维相与半金属态之间的拓扑相变(TPT)。拓扑相变完全是由轨道贡献的变化驱动的。通过追踪基本间隙附近的态随 x 变化的 Bi 6p 贡献,可以提取有效的自旋轨道耦合变化。在 x = 0.42 处观察到的无间隙态非常类似于内耳温度以上的狄拉克半金属,而在内耳温度以下则显示出磁间隙,这在原始光发射数据中清晰可见。观察到的行为表明,我们有能力精确控制拓扑绝缘体的拓扑和磁特性。具有有序嵌入磁性原子矩的拓扑绝缘体是量子电子学的可行平台,但其实际应用受到晶体尺寸的限制。作者合成了一种 Z2 拓扑绝缘体 GexMn1-xBi2Te4,它是一种结构完美、磁性和电子特性可调的大晶体。
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引用次数: 0
Accurate hyperfine tensors for solid state quantum applications: case of the NV center in diamond 用于固态量子应用的精确超频张量:金刚石中的 NV 中心案例
IF 5.5 1区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2024-06-04 DOI: 10.1038/s42005-024-01668-9
István Takács, Viktor Ivády
The decoherence of point defect qubits is often governed by the electron spin-nuclear spin hyperfine interaction that can be parameterized by using ab inito calculations in principle. So far most of the theoretical works have focused on the hyperfine interaction of the closest nuclear spins, while the accuracy of the predictions for distinct nuclear spins is barely discussed. Here we demonstrate for the case of the NV center in diamond that the absolute relative error of the computed hyperfine parameters can exceed 100% using an industry standards first-principles code. To overcome this issue, we implement an alternative method and report on significantly improved hyperfine values with $${{{{{{{mathcal{O}}}}}}}}$$ (1%) relative mean error at all distances. The provided accurate hyperfine data for the NV center enables high-precision simulation of NV quantum nodes for quantum information processing and positioning of nuclear spins by comparing experimental and theoretical hyperfine data. Hyperfine interaction is the key term for utilizing individual nuclear spins in solids. This work introduces a method that yields high-accuracy hyperfine values for nuclear spins at arbitrary distances from addressable electron spins, such as the NV center in diamond.
点缺陷量子比特的退相干通常受电子自旋-核自旋超精细相互作用的制约,而这种相互作用原则上可以通过反比初始计算进行参数化。迄今为止,大多数理论研究都集中在最接近的核自旋的超细相互作用上,而对不同核自旋的预测准确性几乎没有讨论。在这里,我们以金刚石中的 NV 中心为例,证明了使用工业标准第一原理代码计算出的超正弦参数的绝对相对误差可能超过 100%。为了克服这个问题,我们采用了另一种方法,并报告了在所有距离上相对平均误差为 $${{{{{{{mathcal{O}}}}}}}}$ (1%) 的显著改进的超正弦值。为 NV 中心提供的精确超正弦数据可以通过比较实验和理论超正弦数据,高精度地模拟用于量子信息处理和核自旋定位的 NV 量子节点。超细相互作用是利用固体中单个核自旋的关键术语。这项工作介绍了一种方法,它能在核自旋与可寻址电子自旋(如金刚石中的 NV 中心)之间的任意距离上产生高精度的超精细值。
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引用次数: 0
Quasi-localization and Wannier obstruction in partially flat bands 部分平坦带中的准定位和万尼尔阻塞
IF 5.5 1区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2024-06-04 DOI: 10.1038/s42005-024-01679-6
Jin-Hong Park, Jun-Won Rhim
The localized nature of a flat band is understood by the existence of a compact localized eigenstate. However, the localization properties of a partially flat band, ubiquitous in surface modes of topological semimetals, have been unknown. We show that the partially flat band is characterized by a non-normalizable quasi-compact localized state (Q-CLS), which is compactly localized along several directions but extended in at least one direction. The partially flat band develops at momenta where normalizable Bloch wave functions can be obtained from a linear combination of the non-normalizable Q-CLSs. Outside this momentum region, a ghost flat band, unseen from the band structure, is introduced based on a counting argument. Then, we demonstrate that the Wannier function corresponding to the partially flat band exhibits an algebraic decay behavior. Namely, one can have the Wannier obstruction in a band with a vanishing Chern number if it is partially flat. Finally, we develop the construction scheme of a tight-binding model for a topological semimetal by designing a Q-CLS. Compact localized states constitute an auxiliary state representation for a flat-band lattice system with wave functions non-zero only in a finite portion of the lattice. Here, the authors show that in some flat-band systems, these states can be partially “hidden”; surprisingly, these ghost flat bands present an obstruction to be represented as maximally localized Wannier functions.
平带的局部性可以通过存在一个紧凑的局部特征状态来理解。然而,拓扑半金属表面模式中无处不在的部分平坦带的局域化特性却一直不为人知。我们的研究表明,部分平坦带的特征是非正态化的准紧凑局域态(Q-CLS),它沿着几个方向紧凑局域,但至少在一个方向上扩展。部分平坦带出现在可正则化布洛赫波函数可以从非正则化 Q-CLS 的线性组合中获得的动量处。在这一动量区域之外,我们根据计数论证引入了一个从带状结构中看不到的幽灵平带。然后,我们证明了与部分平坦带相对应的万尼尔函数表现出代数衰减行为。也就是说,如果一个带是部分平坦的,那么在一个切尔数消失的带中就会出现万尼尔阻碍。最后,我们通过设计 Q-CLS 发展了拓扑半金属紧约束模型的构造方案。紧凑局域态构成了平带晶格系统的辅助状态表示,其波函数只在晶格的有限部分不为零。作者在本文中指出,在某些平带系统中,这些态可以部分 "隐藏 "起来;令人惊讶的是,这些幽灵平带阻碍了最大局部万尼尔函数的表示。
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引用次数: 0
Monolithic optical resonator for ultrastable laser and photonic millimeter-wave synthesis 用于超稳定激光和光子毫米波合成的单片式光学谐振器
IF 5.5 1区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2024-06-04 DOI: 10.1038/s42005-024-01660-3
Wei Zhang, Eric Kittlaus, Anatoliy Savchenkov, Vladimir Iltchenko, Lin Yi, Scott B. Papp, Andrey Matsko
Optical resonators are indispensable tools in optical metrology that usually benefit from an evacuated and highly-isolated environment to achieve peak performance. Even in the more sophisticated design of Fabry-Perot (FP) cavities, the material choice limits the achievable quality factors. For this reason, monolithic resonators are emerging as promising alternative to traditional designs, but their design is still at preliminary stage and far from being optimized. Here, we demonstrate a monolithic FP resonator with 4.5 cm3 volume and 2 × 105 finesse. In the ambient environment, we achieve 18 Hz integrated laser linewidth and 7 × 10−14 frequency stability measured from 0.08 s to 0.3 s averaging time, the highest spectral purity and stability demonstrated to date in the context of monolithic reference resonators. By locking two separate lasers to distinct modes of the same resonator, a 96 GHz microwave signals is generated with phase noise -100 dBc/Hz at 10 kHz frequency offset, achieving orders of magnitude improvement in the approach of photonic heterodyne synthesis. The compact monolithic FP resonator is promising for applications in spectrally-pure, high-frequency microwave photonic references as well as optical clocks and other metrological devices. ©2024. All rights reserved. Optical resonators are essential tools for high precision metrology and applications where the spectral purity is highly demanded. Here, the authors demonstrate a monolithic resonator made of fused silica to support 18 Hz integrated laser linewidth in the ambient environment, and W-band microwave generation with low phase noise of -100 dBc/Hz at 10 kHz frequency offset.
光学谐振器是光学计量领域不可或缺的工具,通常需要在抽空和高度隔离的环境中才能达到最佳性能。即使是设计更为复杂的法布里-珀罗(Fabry-Perot,FP)腔,材料的选择也限制了可实现的质量因素。因此,作为传统设计的替代品,单片谐振器正在崭露头角,但其设计仍处于初步阶段,远未得到优化。在这里,我们展示了一种体积为 4.5 cm3、纤度为 2 × 105 的单片 FP 谐振器。在环境中,我们实现了 18 Hz 的集成激光线宽和 7 × 10-14 的频率稳定性,测量范围从 0.08 秒到 0.3 秒的平均时间,这是迄今为止在单片参考谐振器方面展示的最高光谱纯度和稳定性。通过将两个独立的激光器锁定到同一谐振器的不同模式上,可产生 96 GHz 的微波信号,在 10 kHz 频率偏移时相位噪声为 -100 dBc/Hz,从而在光子外差合成方法上实现了数量级的改进。这种紧凑型单片 FP 谐振器有望应用于光谱纯净的高频微波光子基准以及光学时钟和其他计量设备。©2024.保留所有权利。光学谐振器是高精度计量和对光谱纯度要求极高的应用领域的重要工具。在此,作者展示了一种由熔融石英制成的单片谐振器,可支持环境中 18 Hz 的集成激光线宽,以及在 10 kHz 频率偏移下相位噪声低至 -100 dBc/Hz 的 W 波段微波发生器。
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引用次数: 0
Higher-order non-Markovian social contagions in simplicial complexes 简单复合物中的高阶非马尔可夫社会传染病
IF 5.5 1区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2024-06-01 DOI: 10.1038/s42005-024-01666-x
Zhaohua Lin, Lilei Han, Mi Feng, Ying Liu, Ming Tang
Higher-order structures such as simplicial complexes are ubiquitous in numerous real-world networks. Empirical evidence reveals that interactions among nodes occur not only through edges but also through higher-dimensional simplicial structures such as triangles. Nevertheless, classic models such as the threshold model fail to capture group interactions within these higher-order structures. In this paper, we propose a higher-order non-Markovian social contagion model, considering both higher-order interactions and the non-Markovian characteristics of real-world spreading processes. We develop a mean-field theory to describe its evolutionary dynamics. Simulation results reveal that the theory is capable of predicting the steady state of the model. Our theoretical analyses indicate that there is an equivalence between the higher-order non-Markovian and the higher-order Markovian social contagions. Besides, we find that non-Markovian recovery can boost the system resilience to withstand a large-scale infection or a small-scale infection under different conditions. This work deepens our understanding of the behaviors of higher-order non-Markovian social contagions in the real world. High-order structures are ubiquitous in numerous real-world networks and play a significant role in social contagion phenomena, the authors introduce a novel higher-order non-Markovian social contagion model, addressing limitations of traditional models. Through mean-field theory and simulations, the authors demonstrate that there is an equivalence between the higher-order non-Markovian and the higher-order Markovian social contagions and reveal the resilience enhancement conferred by non-Markovian recovery, shedding light on real-world contagion dynamics.
在现实世界的众多网络中,高阶结构(如简单复合物)无处不在。经验证据表明,节点之间的互动不仅通过边发生,也通过三角形等高维简约结构发生。然而,阈值模型等经典模型无法捕捉到这些高阶结构中的群体互动。在本文中,我们提出了一个高阶非马尔可夫社会传染模型,同时考虑了高阶互动和现实世界传播过程的非马尔可夫特性。我们建立了一个均值场理论来描述其演化动态。模拟结果表明,该理论能够预测模型的稳定状态。我们的理论分析表明,高阶非马尔可夫社会传染与高阶马尔可夫社会传染之间存在等价性。此外,我们还发现,非马尔可夫恢复可以提高系统的弹性,在不同条件下抵御大规模感染或小规模感染。这项工作加深了我们对现实世界中高阶非马尔可夫社会传染行为的理解。高阶结构在现实世界的众多网络中无处不在,并在社会传染现象中发挥着重要作用。作者针对传统模型的局限性,引入了一个新颖的高阶非马尔可夫社会传染模型。通过均值场理论和模拟,作者证明了高阶非马尔可夫社会传染与高阶马尔可夫社会传染之间的等价性,并揭示了非马尔可夫恢复所带来的复原力增强,为现实世界的传染动力学提供了启示。
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引用次数: 0
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Communications Physics
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