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Ultrafast dynamic mid-infrared beam steering via hot-electron modulation in graphene metasurfaces 石墨烯超表面热电子调制的超快动态中红外光束转向
IF 4 2区 物理与天体物理 Q2 PHYSICS, APPLIED Pub Date : 2025-04-24 DOI: 10.1063/5.0249898
Qinghua Qin, Leijun Xu, Yiming Yu, Ziying Li, Shuguang Zhu, Zexing Zheng, Huishan Ma, Yu Qian, Jiale He, Weiwei Tang, Guanhai Li, Xiaoshuang Chen
Ultrafast dynamic wavefront control is pivotal for advancing photonics applications in LiDAR, high-resolution imaging, and quantum information processing. Conventional wavefront control techniques, such as mechanical beam steering and liquid-crystal-based modulators, are limited by slow response times and bulky configurations, making them unsuitable for high-speed, on-chip applications. In this work, we propose a graphene-based phase-gradient metasurface that leverages hot-electron dynamics for tunable, ultrafast wavefront control in the mid-infrared regime. By precisely modulating the electron temperature in graphene with femtosecond laser pulses, our device achieves real-time beam steering with a maximum reflection angle shift of 21° within 104 fs, as well as dual-focal length switching. The device demonstrates high reflectivity, continuous 2π phase modulation, and an achromatic response over a substantial bandwidth, making it a robust solution for high-speed optical encoding and adaptive optics. This graphene-based platform provides a compact, reconfigurable solution that overcomes the limitations of traditional and emerging approaches, establishing a foundation for next-generation integrated photonics systems.
超快动态波前控制对于推进激光雷达、高分辨率成像和量子信息处理中的光子学应用至关重要。传统的波前控制技术,如机械波束转向和基于液晶的调制器,受到响应时间慢和体积大的限制,使得它们不适合高速的片上应用。在这项工作中,我们提出了一种基于石墨烯的相梯度超表面,它利用热电子动力学在中红外波段进行可调的超快波前控制。通过用飞秒激光脉冲精确调制石墨烯中的电子温度,我们的装置实现了实时光束转向,在104 fs内最大反射角移位21°,以及双焦距切换。该器件具有高反射率,连续2π相位调制和在相当大的带宽上的消色差响应,使其成为高速光学编码和自适应光学的鲁棒解决方案。这种基于石墨烯的平台提供了一种紧凑、可重构的解决方案,克服了传统和新兴方法的局限性,为下一代集成光子学系统奠定了基础。
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引用次数: 0
Very high Curie temperature (470–530 K) in (Ga,Fe)Sb ferromagnetic semiconductor grown by step-flow mode on vicinal GaAs substrates 在邻近的GaAs衬底上采用步进流动方式生长的(Ga,Fe)Sb铁磁半导体具有极高的居里温度(470-530 K)
IF 4 2区 物理与天体物理 Q2 PHYSICS, APPLIED Pub Date : 2025-04-24 DOI: 10.1063/5.0227990
Pham Nam Hai, Ken Takabayashi, Kota Ejiri, Masaaki Tanaka
Narrow-gap Fe-doped III–V ferromagnetic semiconductors (FMSs), such as (In,Fe)Sb, (Ga,Fe)Sb, and (In,Fe)Sb, are promising candidates for active semiconductor spintronic devices thanks to their high Curie temperature (TC). In this work, we show that by growing (Ga,Fe)Sb thin films by the step-flow mode on vicinal GaAs (100) substrates with a high off-angle of 10°, we can achieve high-quality (Ga0.76,Fe0.24)Sb FMS with TC as high as 470–530 K, which are the highest TC reported so far for FMSs. The magnetic moment of Fe atoms in our sample reaches 4.5 μB/atom, which is close to the ideal magnetic moment of substitutional Fe3+ atoms (5 μB/atom) in a zinc blende crystal structure, and is twice that of α-Fe metal. Our work establishes a growth technique of very high TC FMSs for room-temperature semiconductor spintronic devices.
窄间隙掺铁III-V铁磁半导体(fms),如(In,Fe)Sb, (Ga,Fe)Sb和(In,Fe)Sb,由于其高居里温度(TC),是有源半导体自旋电子器件的有希望的候选者。在这项工作中,我们表明,通过在附近的GaAs(100)衬底上以10°的高离角生长(Ga,Fe)Sb薄膜,我们可以获得高质量的(Ga0.76,Fe0.24)Sb FMS, TC高达470-530 K,这是迄今为止报道的FMS最高的TC。样品中Fe原子的磁矩达到4.5 μB/原子,接近闪锌矿晶体结构中取代态Fe3+原子的理想磁矩(5 μB/原子),是α-Fe金属的2倍。我们的工作建立了一种用于室温半导体自旋电子器件的高TC FMSs的生长技术。
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引用次数: 0
Locating Critical Points Using Ratios of Lee-Yang Zeros 利用李阳零点比定位临界点
IF 8.6 1区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-04-24 DOI: 10.1103/physrevlett.134.162302
Tatsuya Wada, Masakiyo Kitazawa, Kazuyuki Kanaya
We propose a method to numerically determine the location of a critical point in general systems using the finite-size scaling of Lee-Yang zeros. This method makes use of the fact that the ratios of Lee-Yang zeros on various spatial volumes intersect at the critical point. While the method is similar to the Binder-cumulant analysis, it is advantageous in suppressing the finite-volume effects arising from the mixing of variables in general systems. We show that the method works successfully for numerically locating the critical point in the three-dimensional three-state Potts model with a nonzero external field. Published by the American Physical Society 2025
我们提出了一种利用有限尺度的李杨零在一般系统中数值确定临界点位置的方法。该方法利用了不同空间体积上李阳零的比值在临界点相交的事实。虽然该方法类似于粘结剂累积分析,但它在抑制一般系统中由变量混合引起的有限体积效应方面具有优势。结果表明,该方法可成功地用于具有非零外场的三维三态波茨模型中临界点的数值定位。2025年由美国物理学会出版
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引用次数: 0
Black holes immersed in polytropic scalar field gas 沉浸在多向标量场气体中的黑洞
IF 10.2 4区 物理与天体物理 Q1 ASTRONOMY & ASTROPHYSICS Pub Date : 2025-04-24 DOI: 10.1016/j.jheap.2025.100389
Y. Sekhmani , S. Zare , L.M. Nieto , H. Hassanabadi , K. Boshkayev
By implementing the concept of polytropic structures as a scalar field gas with a dark energy-like behavior, we obtain a static spherically symmetric black hole solution in the framework of general relativity. In this paper, we study the quasinormal modes, the greybody bound process, the shadow behaviors, and the sparsity of black holes with a surrounding polytropic scalar field gas. Using the Wentzel-Kramers-Brillouin (WKB) approach, we evaluate the impact of a particular set of polytropic parameters (ξ,A) with a fixed setting of the polytropic index n on the oscillation frequency and damping rate of gravitational waves. The results show that the effect of the parameter ξ is much less significant than that of the parameter A on the gravitational waves oscillation frequency and damping rate. Furthermore, the analysis of the greybody factor bounds reveals special insight into the effect of certain parameters where the multipole moments l and the polytropic index n have similar effects, in contrast to the pair of polytropic parameters (ξ,A). In light of such a comparative study, we investigate, on the other hand, the third-order Padé WKB method, which results in a more accurate process for quasinormal mode frequencies compared to the third-order standard WKB method. In this way, exploring the sparsity of Hawking radiation is another task that provides a better understanding of the behavior of the black hole solution. In this respect, the results show that the black hole behaves like blackbody radiation for a sufficiently large entropy. And for ξ=A=0, the relevant sparsity acts exactly like the Schwarzschild sparsity. These results provide an insight into the dynamics of black holes with a surrounding polytropic scalar field gas from the analysis of their quasinormal modes, greybody factors, shadow behaviors, energy emission rate and sparsity process. Constraints on the associated BH parameters, derived from the Event Horizon Telescope observations of M87* and Sgr A*, indicate that this black hole model stands as a compelling candidate for representing astrophysical black holes.
通过将多向性结构的概念实现为具有类暗能量行为的标量场气体,我们得到了广义相对论框架下的静态球对称黑洞解。本文研究了围绕多向标量场气体的黑洞的拟正态模式、灰体束缚过程、阴影行为和稀疏性。利用WKB方法,我们评估了一组特定的多向性参数(ξ, a)对引力波振荡频率和阻尼率的影响,该参数具有固定的多向性指数n。结果表明,参数ξ对引力波振荡频率和阻尼率的影响远小于参数A。此外,对灰体因子界的分析揭示了对某些参数的影响的特殊见解,其中多极矩l和多向性指数n具有类似的影响,而不是对多向性参数(ξ,A)。基于这样的对比研究,我们研究了三阶pad WKB方法,该方法与三阶标准WKB方法相比,对拟正态模态频率的处理更加精确。通过这种方式,探索霍金辐射的稀疏性是另一项任务,可以更好地理解黑洞解的行为。在这方面,结果表明黑洞在足够大的熵下表现得像黑体辐射。对于ξ=A=0,相关的稀疏性和史瓦西稀疏性完全一样。这些结果从黑洞的准正态模式、灰体因子、阴影行为、能量发射率和稀疏性过程等方面提供了对黑洞周围多向标量场气体的动力学分析。从事件视界望远镜对M87*和Sgr A*的观测中得出的相关黑洞参数的约束表明,这个黑洞模型是一个令人信服的代表天体物理学黑洞的候选者。
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引用次数: 0
Experimental Demonstration of Conjugate Structured Illumination Microscopy (c-SIM) for Sensing Deep Subwavelength Perturbations in Background Nanopatterns 共轭结构照明显微镜(c-SIM)用于检测背景纳米图案中深亚波长扰动的实验演示
IF 7 1区 物理与天体物理 Q1 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2025-04-24 DOI: 10.1021/acsphotonics.5c00227
Jinsong Zhang, Renjie Zhou, Nicholas X. Fang, Weijie Deng, Jinlong Zhu, Shiyuan Liu
The localization and classification of deep-subwavelength objects embedded in dense background nanopatterns in an imaging mode are challenging because of the optical diffraction limit and the weak signal-to-noise ratio and contrast. In this work, we, for the first time, experimentally validated the proposed conjugate structured illumination microscopy (c-SIM), which utilizes optical proximity correction techniques to generate a wide-field, diffraction-limited, and structured illumination field on the sample surface for defect inspection. Our experiments validated that c-SIM could accurately inspect 29 nm wide defects with an enhanced resolution (half of the diffraction barrier) using a 423 nm laser source. Moreover, our investigation demonstrated that different types of 38 nm wide defects could be precisely pinpointed and directly classified from the captured frames in the lateral scanning process, which is attributed to the fact that a conjugate structured light field could induce a high-intensity gradient in the illumination light. This technology may find diverse applications, such as a patterned wafer defect inspection, photomask inspection, material characterization, metamaterial inspection, and nanosensing.
由于光学衍射极限和较弱的信噪比和对比度,成像模式下深亚波长物体的定位和分类具有挑战性。在这项工作中,我们首次通过实验验证了所提出的共轭结构照明显微镜(c-SIM),该显微镜利用光学接近校正技术在样品表面产生宽视场,衍射受限的结构照明场,用于缺陷检测。实验证明,使用423 nm激光源,c-SIM可以精确检测29 nm宽的缺陷,并且分辨率提高(衍射势垒的一半)。此外,我们的研究表明,在横向扫描过程中,可以从捕获的帧中精确定位和直接分类不同类型的38 nm宽缺陷,这归因于共轭结构光场可以在照明光中诱导高强度梯度。这项技术可能会有不同的应用,如图像化晶圆缺陷检测、光掩膜检测、材料表征、超材料检测和纳米传感。
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引用次数: 0
Chiral representation of the nucleon mass at leading two-loop order 核子质量在前导二环阶的手性表示
IF 5.4 1区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2025-04-24 DOI: 10.1007/JHEP04(2025)192
Ze-Rui Liang, Han-Xue Chen, Feng-Kun Guo, Zhi-Hui Guo, De-Liang Yao

We calculate the nucleon mass in a manifestly relativistic baryon chiral perturbation theory up to the leading two-loop order. Through dimensional counting analysis, we perform the chiral expansion and verify the validity of the extended-on-mass-shell scheme at the two-loop level. As a result, we obtain the complete chiral representation of the nucleon mass up to ( mathcal{O} )(p5), which preserves the original analytic properties and satisfies the correct power counting. The obtained chiral result is well-suited for chiral extrapolation and provides an excellent description of lattice QCD data across a broad range of pion masses. We find that the ( mathcal{O} )(p5) contribution is small, approximately 10 MeV, and varies only mildly with increasing pion mass, demonstrating good convergence of the nucleon mass up to pion masses of about 350 MeV at two-loop order.

我们在一个明显的相对论重子手性微扰理论中计算核子质量,直到领先的双环阶。通过维数分析,我们进行了手性展开,并在双环水平上验证了质量壳上扩展方案的有效性。结果,我们得到了直到( mathcal{O} ) (p5)的完整的核子质量的手性表示,它保留了原始的解析性质并满足正确的功率计数。所获得的手性结果非常适合于手性外推,并提供了在广泛介子质量范围内的晶格QCD数据的良好描述。我们发现( mathcal{O} ) (p5)的贡献很小,约为10 MeV,并且随着介子质量的增加仅轻微变化,表明在双环阶上核子质量在介子质量约350 MeV时具有良好的收敛性。
{"title":"Chiral representation of the nucleon mass at leading two-loop order","authors":"Ze-Rui Liang,&nbsp;Han-Xue Chen,&nbsp;Feng-Kun Guo,&nbsp;Zhi-Hui Guo,&nbsp;De-Liang Yao","doi":"10.1007/JHEP04(2025)192","DOIUrl":"10.1007/JHEP04(2025)192","url":null,"abstract":"<p>We calculate the nucleon mass in a manifestly relativistic baryon chiral perturbation theory up to the leading two-loop order. Through dimensional counting analysis, we perform the chiral expansion and verify the validity of the extended-on-mass-shell scheme at the two-loop level. As a result, we obtain the complete chiral representation of the nucleon mass up to <span>( mathcal{O} )</span>(<i>p</i><sup>5</sup>), which preserves the original analytic properties and satisfies the correct power counting. The obtained chiral result is well-suited for chiral extrapolation and provides an excellent description of lattice QCD data across a broad range of pion masses. We find that the <span>( mathcal{O} )</span>(<i>p</i><sup>5</sup>) contribution is small, approximately 10 MeV, and varies only mildly with increasing pion mass, demonstrating good convergence of the nucleon mass up to pion masses of about 350 MeV at two-loop order.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2025 4","pages":""},"PeriodicalIF":5.4,"publicationDate":"2025-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP04(2025)192.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143871163","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Experimental novel investigation of diagnostics cavitation in axial pump using vibration and acoustic measurements based on CWT and FFT analyses approaches 基于CWT和FFT分析方法的振动和声学测量诊断轴流泵空化的实验研究
IF 3.4 2区 物理与天体物理 Q1 ACOUSTICS Pub Date : 2025-04-24 DOI: 10.1016/j.apacoust.2025.110758
Ahmed Ramadhan Al-Obaidi
The paper presents the findings of tests to predict the start of cavitation using a variety of statistical factors generated from: the acoustic signal from a microphone near the pump outlet, and the vibration signal received from an accelerometer on the pump casing. Based on a thorough examination of a variety of statistical metrics from time and frequency and domain analysis of the signals based on FFT and CWT investigations, an evaluation of the relative benefits of the various techniques for the detection of incipient cavitation is provided. This study brings some significant new contributions to the field of condition monitoring in general and cavitation monitoring in the pump specifically, while also consolidating and validating the majority of earlier work on the subject. These contributions include the use both vibration signature analysis and acoustics for the diagnosis and detection of cavitation in pumps. The contributions also consider the use of the low frequency vibration and acoustics spectrum (10 to 2000 Hz) for cavitation monitoring in pumps.
本文介绍了利用泵出口附近麦克风的声信号和泵壳上加速度计的振动信号产生的各种统计因素来预测空化开始的试验结果。基于对基于FFT和CWT调查的信号的时间、频率和域分析的各种统计指标的全面检查,提供了各种检测早期空化技术的相对优势的评估。这项研究为状态监测领域带来了一些重要的新贡献,特别是泵的空化监测,同时也巩固和验证了该主题的大多数早期工作。这些贡献包括使用振动特征分析和声学来诊断和检测泵中的空化。贡献还考虑使用低频振动和声学频谱(10至2000赫兹)用于泵的空化监测。
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引用次数: 0
Disordered plasmonic system with dense copper nano-island morphology 具有致密铜纳米岛形态的无序等离子体系统
IF 7.5 2区 物理与天体物理 Q1 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2025-04-24 DOI: 10.1515/nanoph-2024-0743
Tlek Tapani, Vincenzo Caligiuri, Yanqiu Zou, Andrea Griesi, Yurii P. Ivanov, Massimo Cuscunà, Gianluca Balestra, Haifeng Lin, Anastasiia Sapunova, Paolo Franceschini, Andrea Tognazzi, Costantino De Angelis, Giorgio Divitini, Riccardo Carzino, Hyunah Kwon, Peer Fischer, Roman Krahne, Nicolò Maccaferri, Denis Garoli
Dry synthesis is a highly versatile method for the fabrication of nanoporous metal films, since it enables easy and reproducible deposition of single or multi-layers of nanostructured materials that can find intriguing applications in plasmonics, photochemistry and photocatalysis, to name a few. Here, we extend the use of this methodology to the preparation of copper nano-islands that represent an affordable and versatile example of disordered plasmonic substrates. Although the island morphology is disordered, the high density of these nanostructures with large surface area results in a good homogeneity on a macroscale, which is beneficial for plasmonic applications such as bio-sensing and photo-catalysis. With cathodoluminescence and electron-energy-loss spectroscopies we confirm the nano-islands as sources of the local field enhancement and identify the plasmonic resonance bands in the visible and near-infrared spectral range. The decay dynamics of the plasmonic signal are slower in the nano-island as compared to bulk copper films, which can be rationalized by a reduced energy dissipation in the nano-island films. Our study demonstrates a robust and lithography-free fabrication pathway to obtain nanostructured plasmonic copper substrates that represent a highly versatile low-cost alternative for future applications ranging from sensing to photochemistry and photocatalysis.
干法合成是制造纳米多孔金属薄膜的一种高度通用的方法,因为它可以简单且可重复地沉积单层或多层纳米结构材料,这些材料可以在等离子体动力学、光化学和光催化等领域找到有趣的应用。在这里,我们将这种方法的使用扩展到铜纳米岛的制备,它代表了一种负担得起的、通用的无序等离子基板的例子。虽然岛状结构是无序的,但这些具有大表面积的高密度纳米结构在宏观尺度上具有良好的均匀性,这有利于等离子体在生物传感和光催化等领域的应用。通过阴极发光和电子能量损失光谱,我们证实了纳米岛是局部场增强的来源,并在可见光和近红外光谱范围内确定了等离子体共振带。在纳米岛中,等离子体信号的衰减动力学比体铜膜慢,这可以通过纳米岛膜中能量耗散的减少来解释。我们的研究展示了一种强大且无光刻的制造途径,可以获得纳米结构等离子体铜衬底,这代表了一种高度通用的低成本替代方案,可用于未来从传感到光化学和光催化的应用。
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引用次数: 0
Ultra-broadband and passive stabilization of ultrafast light sources by quantum light injection 量子光注入超快光源的超宽带无源稳定
IF 7.5 2区 物理与天体物理 Q1 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2025-04-24 DOI: 10.1515/nanoph-2024-0634
Nicholas Rivera, Shiekh Zia Uddin, Jamison Sloan, Marin Soljačić
Nonlinear optical effects such as frequency conversion form the basis for many practical light sources. In a variety of settings, the performance of such sources is limited by quantum noise. In many nonlinear systems, this quantum noise gets strongly amplified, as a result of the large sensitivity of the nonlinear dynamics to changes in the initial conditions − a feature common to many nonlinear systems. Here, we develop a general theory of quantum noise resulting from nonlinear dynamics initiated by many-photon Gaussian quantum states. The theory provides guidelines to find the optimal quantum state to inject to maximally suppress the noise at the output. As a concrete example of the concept and theory, we consider the nonlinear optical phenomenon of supercontinuum generation by a femtosecond pulse, a famously noise-generating process, which is important in a range of applications in materials characterization and life science. By seeding supercontinuum generation with pulsed squeezed vacuum, one can achieve order-of-magnitude magnitude reduction of intensity and phase noise simultaneously, over a broad band of wavelengths, passively, and with no change in spectrum. The large magnitude and bandwidth of this effect is challenging to achieve by other means of stabilization, pointing to a promising approach for controlling quantum noise in a variety of nonlinear systems.
非线性光学效应,如频率转换,构成了许多实际光源的基础。在各种情况下,这种光源的性能受到量子噪声的限制。在许多非线性系统中,由于非线性动力学对初始条件变化的高度敏感性,这种量子噪声被强烈放大,这是许多非线性系统的共同特征。在这里,我们发展了由多光子高斯量子态引发的非线性动力学引起的量子噪声的一般理论。该理论为找到最佳量子态注入以最大限度地抑制输出噪声提供了指导。作为概念和理论的具体例子,我们考虑了飞秒脉冲产生超连续统的非线性光学现象,这是一个著名的噪声产生过程,在材料表征和生命科学的一系列应用中都很重要。通过脉冲压缩真空播种超连续统产生,可以在较宽的波长范围内,被动地,在不改变光谱的情况下,同时实现强度和相位噪声的数量级降低。这种效应的大幅度和带宽是通过其他稳定手段难以实现的,这为控制各种非线性系统中的量子噪声指明了一种有前途的方法。
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引用次数: 0
Doubly Quantum Mechanics 双量子力学
IF 6.4 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-04-24 DOI: 10.22331/q-2025-04-24-1721
Vittorio D'Esposito, Giuseppe Fabiano, Domenico Frattulillo, Flavio Mercati
Motivated by the expectation that relativistic symmetries might acquire quantum features in Quantum Gravity, we take the first steps towards a theory of ''Doubly'' Quantum Mechanics, a modification of Quantum Mechanics in which the geometrical configurations of physical systems, measurement apparata, and reference frame transformations are themselves quantized and described by ''geometry'' states in a Hilbert space. We develop the formalism for spin-$frac{1}{2}$ measurements by promoting the group of spatial rotations $SU(2)$ to the quantum group $SU_q(2)$ and generalizing the axioms of Quantum Theory in a covariant way. As a consequence of our axioms, the notion of probability becomes a self-adjoint operator acting on the Hilbert space of geometry states, hence acquiring novel non-classical features. After introducing a suitable class of semi-classical geometry states, which describe near-to-classical geometrical configurations of physical systems, we find that probability measurements are affected, in these configurations, by intrinsic uncertainties stemming from the quantum properties of $SU_q(2)$. This feature translates into an unavoidable fuzziness for observers attempting to align their reference frames by exchanging qubits, even when the number of exchanged qubits approaches infinity, contrary to the standard $SU(2)$ case.
受相对论对称性可能在量子引力中获得量子特征的期望的激励,我们向“双”量子力学理论迈出了第一步,这是对量子力学的一种修正,其中物理系统、测量仪器和参考系变换的几何构型本身被量子化,并由希尔伯特空间中的“几何”状态描述。通过将空间旋转群$SU(2)$提升到量子群$SU_q(2)$,并以协变的方式推广量子论公理,我们发展了自旋-$ frac{1}{2}$测量的形式化。由于我们的公理,概率的概念成为一个自伴随算子作用于几何状态的希尔伯特空间,从而获得新的非经典特征。在引入一类描述物理系统接近经典几何构型的半经典几何态后,我们发现,在这些构型中,概率测量受到源自SU_q(2)量子特性的内在不确定性的影响。对于试图通过交换量子位来对齐参考帧的观察者来说,即使交换量子位的数量接近无穷大(与标准的$SU(2)$情况相反),这一特性也会转化为不可避免的模糊性。
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引用次数: 0
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