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Bipartite representations and many-body entanglement of pure states of N indistinguishable particles N 个无差别粒子纯态的二方表示和多体纠缠
IF 2.9 2区 物理与天体物理 Q2 Physics and Astronomy Pub Date : 2024-09-12 DOI: 10.1103/physreva.110.032414
J. A. Cianciulli, R. Rossignoli, M. Di Tullio, N. Gigena, Federico Petrovich
We analyze a general bipartite-like representation of arbitrary pure states of N indistinguishable partcles, valid for both bosons and fermions, based on M- and (NM)-particle states. It leads to exact (M,NM) Schmidt-like expansions of the state for any M<N and is directly related to the isospectral reduced M- and (NM)-body density matrices ρ(M) and ρ(NM). The formalism also allows for reduced yet still exact Schmidt-like decompositions associated with blocks of these densities, in systems having a fixed fraction of the particles in some single-particle subspace. Monotonicity of the ensuing M-body entanglement under a certain set of quantum operations is also discussed. Illustrative examples in fermionic and bosonic systems with pairing correlations are provided, which show that in the presence of dominant eigenvalues in ρ(M), approximations based on a few terms of the pertinent Schmidt expansion can provide a reliable description of the state. The associated one- and two-body entanglement spectrum and entropies are also analyzed.
我们分析了基于 M 粒子和 (N-M) 粒子态的 N 个不可区分部分的任意纯态的一般双星样表示,它对玻色子和费米子都有效。对于任何 M<N,它都能导致状态的精确(M,N-M)施密特式展开,并与等谱还原的 M 和 (N-M) 粒子密度矩阵 ρ(M) 和 ρ(N-M) 直接相关。在某些单粒子子空间中有固定部分粒子的系统中,该形式主义还允许与这些密度块相关的简化但仍然精确的施密特式分解。此外,还讨论了在特定量子操作下随之产生的 M 体纠缠的单调性。我们还提供了具有配对相关性的费米子和玻色子系统的示例,这些示例表明,在 ρ(M) 存在主导特征值的情况下,基于相关施密特展开的几个项的近似可以提供对状态的可靠描述。此外,还分析了相关的一体和二体纠缠谱和熵。
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引用次数: 0
Ytterbium atom interferometry for dark matter searches 用于暗物质搜索的镱原子干涉测量法
IF 2.9 2区 物理与天体物理 Q2 Physics and Astronomy Pub Date : 2024-09-12 DOI: 10.1103/physreva.110.033313
Yifan Zhou, Rowan Ranson, Michalis Panagiotou, Chris Overstreet
We analyze the projected sensitivity of a laboratory-scale ytterbium atom interferometer to scalar, vector, and pseudoscalar dark matter signals. A frequency ratio measurement between two transitions in Yb171 enables a search for variations of the fine-structure constant that could surpass existing limits by a factor of 100 in the mass range 10221016 eV. Differential accelerometry between ytterbium isotopes yields projected sensitivities to scalar and vector dark matter couplings that are stronger than the limits set by the MICROSCOPE equivalence principle test, and an analogous measurement in the MAGIS-100 long-baseline interferometer would be more sensitive than previous bounds by factors of 10 or more. A search for anomalous spin torque in MAGIS-100 is projected to reach similar sensitivity to atomic magnetometry experiments. We discuss strategies for mitigating the main systematic effects in each measurement. These results indicate that improved dark matter searches with ytterbium atom interferometry are technically feasible.
我们分析了实验室规模的镱原子干涉仪对标量、矢量和伪标量暗物质信号的预计灵敏度。通过测量镱171的两个跃迁之间的频率比,可以搜索精细结构常数的变化,在10-22-10-16 eV的质量范围内,其变化可能会超过现有限制的100倍。镱同位素之间的差分加速度测量对标量和矢量暗物质耦合的预测灵敏度强于 MICROSCOPE 等效原理测试所设定的限制,MAGIS-100 长基线干涉仪的类似测量将比以前的限制灵敏 10 倍或更多。预计在 MAGIS-100 中搜索反常自旋力矩将达到与原子磁力计实验类似的灵敏度。我们讨论了减轻每次测量中主要系统效应的策略。这些结果表明,利用镱原子干涉测量改进暗物质搜索在技术上是可行的。
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引用次数: 0
Future-input-dependent model for Greenberger-Horne-Zeilinger correlations 格林伯格-霍恩-蔡林格关联的未来输入依赖模型
IF 2.9 2区 物理与天体物理 Q2 Physics and Astronomy Pub Date : 2024-09-12 DOI: 10.1103/physreva.110.032209
Izhar Neder, Nathan Argaman
It is widely appreciated, due to Bell's theorem, that quantum phenomena are inconsistent with local-realist models. In this context, locality refers to local causality, and there is thus an open possibility for reproducing the quantum predictions with models which internally violate the causal arrow of time, while otherwise adhering to the relevant locality condition. So far, this possibility has been demonstrated only at a toy-model level, and only for systems involving one or two spins (or photons). The present work extends one of these models to quantum correlations between three or more spins which are entangled in the Greenberger-Horne-Zeilinger state.
由于贝尔定理,人们普遍认识到量子现象与局部现实主义模型不一致。在这种情况下,局部性指的是局部因果性,因此,用内部违反时间因果箭头的模型来重现量子预言,同时在其他方面遵守相关的局部性条件,是一种开放的可能性。迄今为止,这种可能性只在玩具模型层面得到了证明,而且只针对涉及一或两个自旋(或光子)的系统。本研究将其中一个模型扩展到格林伯格-霍恩-蔡林格纠缠态中三个或更多自旋之间的量子关联。
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引用次数: 0
Quantum sensing of ultralow temperature in biwire ultracold polar molecules 双线超冷极性分子的超低温量子传感
IF 2.9 2区 物理与天体物理 Q2 Physics and Astronomy Pub Date : 2024-09-12 DOI: 10.1103/physreva.110.032611
Abdelâali Boudjemâa, Karima Abbas, Asma Tahar Taiba, Qing-Shou Tan
We present a systematic study of quantum sensing of ultralow temperature in biwire ultracold polar molecules of a quasi-one-dimensional (1D) trap by exploring the dynamics of two physically different qubit models. The two models consist of a trapped impurity atom that act as a temperature quantum sensor interacting with polar molecules reservoir, where dipole moments are aligned head-to-tail across the wires. Our model takes advantage of the adjustable interwire distance to accurately control the precision ultralow temperatures measurement. We show that the system undergoes a transition from Markovian to non-Markovian dynamics, which can be controlled by changing the interwire separation, the dipole-–dipole interaction (DDI), and the temperature. We characterize the thermometric performance using the quantum signal-to-noise ratio for both models and demonstrate that such a quantity exhibits a higher peak at ultralow temperature. We therefore emphasize that ultracold polar molecules are crucial for revolutionizing temperature sensing.
我们通过探索两种物理上不同的量子比特模型的动力学,对准一维(1D)陷阱的双线超冷极性分子中的超低温量子传感进行了系统研究。这两种模型都由一个被困的杂质原子组成,该杂质原子作为温度量子传感器与极性分子储层相互作用,其中偶极矩在导线上头尾对齐。我们的模型利用可调节的导线间距来精确控制超低温测量的精度。我们的研究表明,该系统经历了从马尔可夫动力学到非马尔可夫动力学的转变,这种转变可以通过改变导线间距、偶极子-偶极子相互作用(DDI)和温度来控制。我们利用这两种模型的量子信噪比来描述测温性能的特点,并证明这种量子信噪比在超低温下显示出更高的峰值。因此,我们强调,超冷极性分子对于温度传感的革命至关重要。
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引用次数: 0
Robust estimation of nonlinear properties of quantum processes 量子过程非线性特性的稳健估计
IF 2.9 2区 物理与天体物理 Q2 Physics and Astronomy Pub Date : 2024-09-12 DOI: 10.1103/physreva.110.032415
Yuqing Wang, Guoding Liu, Zhenhuan Liu, Yifan Tang, Xiongfeng Ma, Hao Dai
The accurate and robust estimation of quantum process properties is crucial for quantum information processing and many-body physics. Combining classical shadow tomography and randomized benchmarking, Helsen et al. introduced a method to estimate the linear properties of quantum processes. In this work, we focus on the estimation protocols of nonlinear process properties that are robust to state preparation and measurement errors. We introduce two protocols, both utilizing random gate sequences but employing different postprocessing methods, which make them suitable for measuring different nonlinear properties. The first protocol offers a robust and sound method to estimate the out-of-time-ordered correlation, as demonstrated numerically in an Ising model. The second protocol estimates unitarity, effectively characterizing the incoherence of quantum channels. We expect the two protocols to be useful tools for exploring quantum many-body physics and characterizing quantum processes.
准确而稳健地估计量子过程特性对于量子信息处理和多体物理学至关重要。Helsen 等人结合经典阴影层析成像和随机基准,提出了一种估算量子过程线性特性的方法。在这项工作中,我们将重点放在对状态准备和测量误差具有鲁棒性的非线性过程特性的估计协议上。我们介绍了两种协议,它们都利用随机门序列,但采用了不同的后处理方法,使它们适用于测量不同的非线性特性。第一种方案提供了一种稳健可靠的方法来估算超时序相关性,这在伊辛模型中得到了数值证明。第二个协议估算了单位性,有效地描述了量子通道的不一致性。我们希望这两个协议能成为探索量子多体物理和描述量子过程的有用工具。
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引用次数: 0
Unified treatment of atomic excitation and ionization 统一处理原子激发和电离
IF 2.9 2区 物理与天体物理 Q2 Physics and Astronomy Pub Date : 2024-09-12 DOI: 10.1103/physreva.110.032810
N. W. Antonio, I. Bray, A. S. Kadyrov
A unified treatment of atomic excitation and ionization in ion-atom collisions is proposed. It is demonstrated that the state-resolved excitation cross sections multiplied by n3, where n is the principal quantum number of the excited state, and the corresponding partial singly differential ionization cross section form two parts of a single continuous function. This allows one to obtain the excitation cross section for any state including high-lying Rydberg states and the energy-differential ionization cross section at, and arbitrarily close to, the threshold. The proposed method can be used in any theoretical approaches to excitation and ionization and experimental measurements.
提出了离子-原子碰撞中原子激发和电离的统一处理方法。研究表明,状态分辨激发截面乘以 n3(其中 n 是激发态的主量子数)和相应的部分单微分电离截面构成了一个连续函数的两个部分。这样就可以得到任何状态(包括高位雷德贝格状态)的激发截面,以及阈值和任意接近阈值的能差电离截面。所提出的方法可用于任何激发和电离理论方法以及实验测量。
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引用次数: 0
Error mitigation, optimization, and extrapolation on a trapped-ion testbed 受困离子试验平台上的误差缓解、优化和外推法
IF 2.9 2区 物理与天体物理 Q2 Physics and Astronomy Pub Date : 2024-09-12 DOI: 10.1103/physreva.110.032416
Oliver G. Maupin, Ashlyn D. Burch, Brandon Ruzic, Christopher G. Yale, Antonio Russo, Daniel S. Lobser, Melissa C. Revelle, Matthew N. Chow, Susan M. Clark, Andrew J. Landahl, Peter J. Love
Current noisy intermediate-scale quantum (NISQ) trapped-ion devices are subject to errors which can significantly impact the accuracy of calculations if left unchecked. A form of error mitigation called zero noise extrapolation (ZNE) can decrease an algorithm's sensitivity to these errors without increasing the number of required qubits. Here we explore different methods for integrating this error mitigation technique into the Variational Quantum Eigensolver (VQE) algorithm for calculating the ground state of the HeH+ molecule at 0.8Å in the presence of experimental noise. Using the Quantum Scientific Computing Open User Testbed (QSCOUT) trapped-ion device, we test three methods of scaling noise for extrapolation: time stretching the two-qubit gates, scaling the sideband detuning parameter, and inserting two-qubit gate identity operations into the ansatz circuit. We find that time stretching and sideband detuning scaling fail to scale the noise on our particular hardware in a way that can be extrapolated to zero noise. Scaling our noise with global gate identity insertions and extrapolating after variational optimization, we achieve error suppression of 96.8%, resulting in an energy estimate within 0.004±0.04 hartree of the ground state energy. This is an improvement, but still outside the chemical accuracy threshold of 0.0016 hartree. Our results show that the efficacy of this error mitigation technique depends on choosing the correct implementation for a given device architecture.
目前的高噪声中量子(NISQ)陷落离子设备会产生误差,如果不加以控制,会严重影响计算的准确性。一种名为零噪声外推法(ZNE)的误差缓解方法可以在不增加所需量子比特数量的情况下降低算法对这些误差的敏感性。在这里,我们探讨了将这种误差缓解技术集成到变分量子均衡器(VQE)算法中的不同方法,以计算存在实验噪声的 0.8Å 处 HeH+ 分子的基态。利用量子科学计算开放用户试验台(QSCOUT)的困离子装置,我们测试了三种用于外推的噪声缩放方法:时间拉伸双量子比特门、缩放边带失谐参数以及在解析电路中插入双量子比特门标识操作。我们发现,在我们的特定硬件上,时间拉伸和边带失谐缩放都无法缩放噪声,从而无法外推至零噪声。通过插入全局栅极标识来缩放噪声,并在变异优化后进行外推,我们实现了 96.8% 的误差抑制,从而将能量估计值控制在基态能量的 -0.004±0.04 哈特里范围内。这是一个进步,但仍未达到 0.0016 哈特里的化学精度阈值。我们的研究结果表明,这种误差抑制技术的有效性取决于为特定器件架构选择正确的实现方法。
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引用次数: 0
Quantum thermodynamics of the spin-boson model using the principle of minimal dissipation 利用最小耗散原理的自旋玻色子模型量子热力学
IF 2.9 2区 物理与天体物理 Q2 Physics and Astronomy Pub Date : 2024-09-12 DOI: 10.1103/physreva.110.032210
Salvatore Gatto, Alessandra Colla, Heinz-Peter Breuer, Michael Thoss
A recently developed approach to the thermodynamics of open quantum systems, on the basis of the principle of minimal dissipation, is applied to the spin-boson model. Employing a numerically exact quantum dynamical treatment based on the hierarchical equations of motion (HEOM) method, we investigate the influence of the environment on quantities such as work, heat, and entropy production in a range of parameters which go beyond the weak-coupling limit and include both the nonadiabatic and the adiabatic regimes. The results reveal significant differences to the weak-coupling forms of work, heat, and entropy production, which are analyzed in some detail.
根据最小耗散原理,我们将最近开发的开放量子系统热力学方法应用于自旋玻色子模型。我们采用基于层次运动方程(HEOM)方法的数值精确量子动力学处理方法,研究了环境对功、热和熵产生等量的影响,其参数范围超出了弱耦合极限,包括非绝热和绝热状态。结果表明,功、热和熵的产生与弱耦合形式存在显著差异,并对这些差异进行了详细分析。
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引用次数: 0
Implementation of controlled-not quantum gate by nonlinear coupled electro-nano-optomechanical oscillators 通过非线性耦合电-纳米-光-机械振荡器实现受控-非量子门
IF 2.9 2区 物理与天体物理 Q2 Physics and Astronomy Pub Date : 2024-09-11 DOI: 10.1103/physreva.110.032412
Reihaneh Alinaghipour, Hamidreza Mohammadi
A feasibility study is done for the possibility of a universal set of quantum gate implementation based on phononic state via fourth-order Duffing nonlinearity in an optomechanical system. The optomechanical system consists of N doubly clamped coupled nanobeam arrays driven by local static and radio frequency electrical potentials, coupled to a single-mode high-finesse optical cavity. The results show that the ideal cnot gate can be implemented only under nonresonance dynamics when the dissipation processes are negligible.
研究人员通过光机械系统中的四阶达芬非线性,对基于声子态的通用量子门实现的可能性进行了可行性研究。光机械系统由 N 个双钳位耦合纳米束阵列组成,由局部静态和射频电势驱动,并与单模高精细光腔耦合。结果表明,只有在耗散过程可忽略不计的非共振动力学条件下,才能实现理想的 cnot 栅极。
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引用次数: 0
Isotope-shift measurement of the 423-nm transition in neutral Ca 中性钙中 423 纳米转变的同位素偏移测量
IF 2.9 2区 物理与天体物理 Q2 Physics and Astronomy Pub Date : 2024-09-11 DOI: 10.1103/physreva.110.032809
David Röser, Lukas Möller, Hans Keßler, Simon Stellmer
We report on saturated absorption spectroscopy measurements of the (4s2)S01(4s4p)P11 transition for the four most abundant even-mass isotopes in calcium. By referencing the laser locked to an ultralow expansion cavity and carefully investigating systematic errors, isotope shifts are determined with a precision below 100kHz, improving previously reported values by a factor of about 3. A King plot analysis, employing literature values of the 729-nm transition in Ca+ ions, shows excellent linearity. The field and mass shift parameters are determined from King plots with other transitions.
我们报告了对钙中四种最丰富的偶质量同位素的 (4s2)S01→(4s4p)P11 转变的饱和吸收光谱测量结果。通过将激光锁定到超低膨胀腔并仔细研究系统误差,同位素位移的测定精度低于 100kHz,将之前报告的值提高了约 3 倍。场和质量位移参数是根据其他转变的 King 图确定的。
{"title":"Isotope-shift measurement of the 423-nm transition in neutral Ca","authors":"David Röser, Lukas Möller, Hans Keßler, Simon Stellmer","doi":"10.1103/physreva.110.032809","DOIUrl":"https://doi.org/10.1103/physreva.110.032809","url":null,"abstract":"We report on saturated absorption spectroscopy measurements of the <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mrow><mo>(</mo><mn>4</mn><msup><mi>s</mi><mn>2</mn></msup><mo>)</mo></mrow><mmultiscripts><mi>S</mi><mn>0</mn><none></none><mprescripts></mprescripts><none></none><mn>1</mn></mmultiscripts><mo>→</mo><mrow><mo>(</mo><mn>4</mn><mi>s</mi><mn>4</mn><mi>p</mi><mo>)</mo></mrow><mmultiscripts><mi>P</mi><mn>1</mn><none></none><mprescripts></mprescripts><none></none><mn>1</mn></mmultiscripts></mrow></math> transition for the four most abundant even-mass isotopes in calcium. By referencing the laser locked to an ultralow expansion cavity and carefully investigating systematic errors, isotope shifts are determined with a precision below <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mn>100</mn><mspace width=\"0.16em\"></mspace><mi mathvariant=\"normal\">k</mi><mi>Hz</mi></mrow></math>, improving previously reported values by a factor of about 3. A King plot analysis, employing literature values of the 729-<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mspace width=\"0.16em\"></mspace><mi mathvariant=\"normal\">n</mi><mi mathvariant=\"normal\">m</mi></mrow></math> transition in <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><msup><mi>Ca</mi><mo>+</mo></msup></math> ions, shows excellent linearity. The field and mass shift parameters are determined from King plots with other transitions.","PeriodicalId":20146,"journal":{"name":"Physical Review A","volume":"7 1","pages":""},"PeriodicalIF":2.9,"publicationDate":"2024-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142205866","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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