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Surface Magnetization in Antiferromagnets: Classification, Example Materials, and Relation to Magnetoelectric Responses 反铁磁体的表面磁化:分类、示例材料以及与磁电反应的关系
IF 12.5 1区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-05-28 DOI: 10.1103/physrevx.14.021033
Sophie F. Weber, Andrea Urru, Sayantika Bhowal, Claude Ederer, Nicola A. Spaldin
We use symmetry analysis and density-functional theory to determine and characterize surface terminations that have a finite equilibrium magnetization density in antiferromagnetic materials. A nonzero magnetic dipole moment per unit area or “surface magnetization” can arise on particular surfaces of many antiferromagnets due to the bulk magnetic symmetries. Such surface magnetization underlies intriguing physical phenomena like interfacial magnetic coupling and can be used as a readout method of antiferromagnetic domains. However, a universal description of antiferromagnetic surface magnetization is lacking. We first introduce a classification system based on whether the surface magnetization is either sensitive or robust to roughness and on whether the magnetic dipoles at surface of interest are compensated or uncompensated when the bulk magnetic order is retained at the surface. We show that roughness-sensitive categories can be identified by a simple extension of a previously established group-theory formalism for identifying roughness-robust surface magnetization. We then map the group-theory method of identifying surface magnetization to a novel description in terms of bulk magnetic multipoles, which are already established as symmetry indicators for bulk magnetoelectric responses at both linear and higher orders. We use density-functional calculations to illustrate that nominally compensated surfaces in magnetoelectric Cr2O3 and centrosymmetric altermagnetic FeF2 develop a finite magnetization density at the surface, in agreement with our predictions based on both group theory and the ordering of the bulk multipoles. Our analysis provides a comprehensive basis for understanding the surface magnetic properties and their intimate correspondence to bulk magnetoelectric effects in antiferromagnets and has important implications for technologically relevant phenomena such as exchange-bias coupling.
我们利用对称性分析和密度泛函理论来确定和描述反铁磁材料中具有有限平衡磁化密度的表面终端。由于体磁对称性,许多反铁磁体的特定表面会出现单位面积非零磁偶极矩或 "表面磁化"。这种表面磁化是界面磁耦合等有趣物理现象的基础,可用作反铁磁域的读出方法。然而,目前还缺乏对反铁磁性表面磁化的通用描述。我们首先介绍了一种分类系统,它基于表面磁化对粗糙度是敏感还是稳健,以及在表面保留体磁序时,相关表面的磁偶极子是得到补偿还是未得到补偿。我们的研究表明,粗糙度敏感类别可以通过对之前建立的群论形式主义的简单扩展来识别粗糙度稳健表面磁化。然后,我们将识别表面磁化的群论方法映射到用体磁多极子进行的新描述中,而体磁多极子已被确立为线性和高阶体磁电响应的对称指标。我们使用密度函数计算来说明,磁电 Cr2O3 和中心对称变磁 FeF2 中的名义补偿表面会在表面形成有限的磁化密度,这与我们基于群论和体磁性多极子排序的预测一致。我们的分析为理解反铁磁体的表面磁特性及其与块体磁电效应的密切对应关系提供了全面的基础,并对交换偏置耦合等技术相关现象具有重要意义。
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引用次数: 0
Universal Symmetry of Optimal Control at the Microscale 微尺度优化控制的普遍对称性
IF 12.5 1区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-05-24 DOI: 10.1103/physrevx.14.021032
Sarah A. M. Loos, Samuel Monter, Felix Ginot, Clemens Bechinger
Optimizing the energy efficiency of driving processes provides valuable insights into the underlying physics and is of crucial importance for numerous applications, from biological processes to the design of machines and robots. Knowledge of optimal driving protocols is particularly valuable at the microscale, where energy supply is often limited. Here, we experimentally and theoretically investigate the paradigmatic optimization problem of moving a potential carrying a load through a fluid, in a finite time and over a given distance, in such a way that the required work is minimized. An important step towards more realistic systems is the consideration of memory effects in the surrounding fluid, which are ubiquitous in real-world applications. Therefore, our experiments were performed in viscous and viscoelastic media, which are typical environments for synthetic and biological processes on the microscale. Despite marked differences between the protocols in both fluids, we find that the optimal control protocol and the corresponding average particle trajectory always obey a time-reversal symmetry. We show that this symmetry, which surprisingly applies here to a class of processes far from thermal equilibrium, holds universally for various systems, including active, granular, and long-range correlated media in their linear regimes. The uncovered symmetry provides a rigorous and versatile criterion for optimal control that greatly facilitates the search for energy-efficient transport strategies in a wide range of systems. Using a machine learning algorithm, we demonstrate that the algorithmic exploitation of time-reversal symmetry can significantly enhance the performance of numerical optimization algorithms.
优化驱动过程的能效可以提供对基础物理学的宝贵见解,对于从生物过程到机器和机器人设计等众多应用都至关重要。在能量供应往往有限的微观尺度上,最优驱动协议的知识尤其宝贵。在这里,我们通过实验和理论研究了一个典型的优化问题,即在有限的时间内,在给定的距离内,通过流体移动一个携带负载的势能,使所需的功最小化。考虑周围流体中的记忆效应是实现更逼真系统的重要一步,而记忆效应在实际应用中无处不在。因此,我们的实验在粘性和粘弹性介质中进行,这些介质是微尺度合成和生物过程的典型环境。尽管两种流体中的控制协议存在明显差异,但我们发现最优控制协议和相应的粒子平均轨迹始终服从时间反转对称性。我们表明,这种对称性出人意料地适用于一类远离热平衡的过程,它普遍适用于各种系统,包括线性状态下的活动介质、颗粒介质和长程相关介质。未发现的对称性为优化控制提供了一个严格而通用的标准,极大地促进了在各种系统中寻找节能传输策略的工作。我们利用机器学习算法证明,在算法上利用时间反转对称性可以显著提高数值优化算法的性能。
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引用次数: 0
Twist-Induced Hyperbolic Shear Metasurfaces 扭曲诱导的双曲剪切元曲面
IF 12.5 1区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-05-24 DOI: 10.1103/physrevx.14.021031
Simon Yves, Emanuele Galiffi, Xiang Ni, Enrico M. Renzi, Andrea Alù
Following the discovery of moiré-driven superconductivity and density waves in twisted-graphene multilayers, twistronics has spurred a surge of interest in tailored broken symmetries through angular rotations enabling new properties, from electronics to photonics and phononics. Analogously, in monoclinic polar crystals a nontrivial angle between nondegenerate dipolar phonon resonances can naturally emerge due to asymmetries in their crystal lattice, and its variations are associated with intriguing polaritonic phenomena, including axial dispersion, i.e., the rotation of the optical axis with frequency, and microscopic shear effects that result in an asymmetric distribution of material loss. So far, these phenomena have been restricted to specific midinfrared frequencies difficult to access with conventional laser sources and fundamentally limited by the degree of asymmetry and by the strength of light-matter interactions available in natural crystals. Here, we leverage the twistronics concept to demonstrate maximal axial dispersion and loss redistribution of hyperbolic waves in elastic metasurfaces, achieved by tailoring the angle between coupled metasurface pairs featuring tailored anisotropy. We show extreme control over elastic wave dispersion and absorption via the twist angle and leverage the resulting phenomena to demonstrate enhanced propagation distance, in-plane reflection-free negative refraction and diffraction-free defect detection. Our work welds the concepts of twistronics, non-Hermiticity, and extreme anisotropy, demonstrating the powerful opportunities enabled by metasurfaces for tunable, highly directional surface-acoustic-wave propagation of great interest for a wide range of applications spanning from seismic mitigation to on-chip phononics and wireless communication systems, hence paving the way toward their translation into emerging photonic and polaritonic metasurface technologies.
继在扭曲石墨烯多层板中发现摩尔纹驱动的超导性和密度波之后,扭曲电子学激起了人们对通过角度旋转实现新特性的定制破缺对称性的浓厚兴趣,包括电子学、光子学和声子学。与此类似,在单斜极性晶体中,由于其晶格的不对称,非孤立二极性声子共振之间会自然出现一个非小角度,其变化与引人入胜的极子现象有关,包括轴向色散(即光轴随频率旋转)和微观剪切效应(导致材料损耗的不对称分布)。迄今为止,这些现象仅限于特定的中红外频率,传统激光源很难进入,而且从根本上受到非对称程度和天然晶体中光-物质相互作用强度的限制。在这里,我们利用双曲概念展示了弹性元表面中双曲波的最大轴向色散和损耗再分布,这是通过调整具有定制各向异性的耦合元表面对之间的角度实现的。我们展示了通过扭转角度对弹性波色散和吸收的极端控制,并利用由此产生的现象展示了增强的传播距离、面内无反射负折射和无衍射缺陷检测。我们的工作融合了扭曲、非恒定性和极端各向异性的概念,展示了超表面为可调、高方向性表面声波传播带来的强大机遇,这些传播对于从地震缓解到片上声学和无线通信系统等广泛应用具有重大意义,从而为将其转化为新兴的光子和极子超表面技术铺平了道路。
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引用次数: 0
Neural Wave Functions for Superfluids 超流体的神经波函数
IF 12.5 1区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-05-22 DOI: 10.1103/physrevx.14.021030
Wan Tong Lou, Halvard Sutterud, Gino Cassella, W. M. C. Foulkes, Johannes Knolle, David Pfau, James S. Spencer
Understanding superfluidity remains a major goal of condensed matter physics. Here, we tackle this challenge utilizing the recently developed fermionic neural network (FermiNet) wave function Ansatz [D. Pfau et al., Phys. Rev. Res. 2, 033429 (2020).] for variational Monte Carlo calculations. We study the unitary Fermi gas, a system with strong, short-range, two-body interactions known to possess a superfluid ground state but difficult to describe quantitatively. We demonstrate key limitations of the FermiNet Ansatz in studying the unitary Fermi gas and propose a simple modification based on the idea of an antisymmetric geminal power singlet (AGPs) wave function. The new AGPs FermiNet outperforms the original FermiNet significantly in paired systems, giving results which are more accurate than fixed-node diffusion Monte Carlo and are consistent with experiment. We prove mathematically that the new Ansatz, which differs from the original Ansatz only by the method of antisymmetrization, is a strict generalization of the original FermiNet architecture, despite the use of fewer parameters. Our approach shares several advantages with the original FermiNet: The use of a neural network removes the need for an underlying basis set; sand the flexibility of the network yields extremely accurate results within a variational quantum Monte Carlo framework that provides access to unbiased estimates of arbitrary ground-state expectation values. We discuss how the method can be extended to study other superfluid.
理解超流仍然是凝聚态物理学的一个主要目标。在这里,我们利用最近开发的费米神经网络(FermiNet)波函数解析[D. Pfau 等人,Phys. Rev. Res. 2, 033429 (2020)。我们研究了单元费米气体,这是一个具有强短程双体相互作用的系统,已知它具有超流体基态,但难以定量描述。我们证明了费米网反演在研究单位费米气体时的主要局限性,并提出了一种基于反不对称geminal power singlet(AGPs)波函数思想的简单修改。在成对系统中,新的 AGPs FermiNet 明显优于原始的 FermiNet,其结果比固定节点扩散蒙特卡洛更精确,并且与实验一致。我们用数学方法证明,尽管使用了更少的参数,但新的安萨茨与原始安萨茨的区别仅在于反对称方法,是对原始 FermiNet 架构的严格概括。我们的方法与最初的 FermiNet 有几个共同的优点:神经网络的使用消除了对底层基集的需要;在变异量子蒙特卡洛框架内,网络的灵活性产生了极其精确的结果,可以对任意基态期望值进行无偏估计。我们讨论了如何将这种方法扩展到研究其他超流体。
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引用次数: 0
Wave-Function Network Description and Kolmogorov Complexity of Quantum Many-Body Systems 量子多体系统的波函数网络描述和柯尔莫哥洛夫复杂性
IF 12.5 1区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-05-21 DOI: 10.1103/physrevx.14.021029
T. Mendes-Santos, M. Schmitt, A. Angelone, A. Rodriguez, P. Scholl, H. J. Williams, D. Barredo, T. Lahaye, A. Browaeys, M. Heyl, M. Dalmonte
Programmable quantum devices are now able to probe wave functions at unprecedented levels. This is based on the ability to project the many-body state of atom and qubit arrays onto a measurement basis which produces snapshots of the system wave function. Extracting and processing information from such observations remains, however, an open quest. One often resorts to analyzing low-order correlation functions—that is, discarding most of the available information content. Here, we introduce wave-function networks—a mathematical framework to describe wave-function snapshots based on network theory. For many-body systems, these networks can become scale-free—a mathematical structure that has found tremendous success and applications in a broad set of fields, ranging from biology to epidemics to Internet science. We demonstrate the potential of applying these techniques to quantum science by introducing protocols to extract the Kolmogorov complexity corresponding to the output of a quantum simulator and implementing tools for fully scalable cross-platform certification based on similarity tests between networks. We demonstrate the emergence of scale-free networks analyzing experimental data obtained with a Rydberg quantum simulator manipulating up to 100 atoms. Our approach illustrates how, upon crossing a phase transition, the simulator complexity decreases while correlation length increases—a direct signature of buildup of universal behavior in data space. Comparing experiments with numerical simulations, we achieve cross-certification at the wave-function level up to timescales of 4μs with a confidence level of 90% and determine experimental calibration intervals with unprecedented accuracy. Our framework is generically applicable to the output of quantum computers and simulators with in situ access to the system wave function and requires probing accuracy and repetition rates accessible to most currently available platforms.
可编程量子设备现在能够以前所未有的水平探测波函数。这种能力的基础是将原子和量子比特阵列的多体状态投射到测量基础上,从而产生系统波函数的快照。然而,从这些观测结果中提取和处理信息仍然是一个有待探索的课题。人们往往不得不分析低阶相关函数,即放弃大部分可用的信息内容。在此,我们介绍波函数网络--一种基于网络理论描述波函数快照的数学框架。对于多体系统来说,这些网络可以是无标度的--这种数学结构在从生物学到流行病学再到互联网科学等广泛领域都取得了巨大的成功和应用。我们通过引入协议来提取与量子模拟器输出相对应的柯尔莫哥洛夫复杂性,并实施基于网络间相似性测试的完全可扩展跨平台认证工具,展示了将这些技术应用于量子科学的潜力。我们通过分析利用雷德堡量子模拟器获得的多达 100 个原子的实验数据,展示了无标度网络的出现。我们的方法说明了在跨越相变时,模拟器的复杂性如何降低,而相关长度如何增加--这是在数据空间中建立通用行为的直接标志。通过比较实验与数值模拟,我们在波函数层面实现了高达 4 μs 时标的交叉验证,置信度高达 90%,并以前所未有的精度确定了实验校准区间。我们的框架一般适用于量子计算机和模拟器的输出,可就地获取系统波函数,并要求探测精度和重复率达到目前大多数可用平台的水平。
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引用次数: 0
Editorial: Coauthor! Coauthor! 社论:共同作者合著者
IF 12.5 1区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-05-21 DOI: 10.1103/physrevx.14.020001
Randall D. Kamien, Daniel Ucko
DOI:https://doi.org/10.1103/PhysRevX.14.020001
DOI:https://doi.org/10.1103/PhysRevX.14.020001
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引用次数: 0
Exact Results for a Boundary-Driven Double Spin Chain and Resource-Efficient Remote Entanglement Stabilization 边界驱动双自旋链的精确结果与资源效率型远程纠缠稳定
IF 12.5 1区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-05-20 DOI: 10.1103/physrevx.14.021028
Andrew Lingenfelter, Mingxing Yao, Andrew Pocklington, Yu-Xin Wang (王语馨), Abdullah Irfan, Wolfgang Pfaff, Aashish A. Clerk
We derive an exact solution for the steady state of a setup where two XX-coupled N-qubit spin chains (with possibly nonuniform couplings) are subject to boundary Rabi drives and common boundary loss generated by a waveguide (either bidirectional or unidirectional). For a wide range of parameters, this system has a pure entangled steady state, providing a means for stabilizing remote multiqubit entanglement without the use of squeezed light. Our solution also provides insights into a single boundary-driven dissipative XX spin chain that maps to an interacting fermionic model. The nonequilibrium steady state exhibits surprising correlation effects, including an emergent pairing of hole excitations that arises from dynamically constrained hopping. Our system could be implemented in a number of experimental platforms, including circuit QED.
我们推导出了两个 XX 耦合 N 量子自旋链(可能具有非均匀耦合)受边界拉比驱动和波导(双向或单向)产生的共同边界损耗影响时的稳定状态的精确解。在很宽的参数范围内,该系统具有纯纠缠稳态,为稳定远程多量子比特纠缠提供了一种无需使用挤压光的方法。我们的解决方案还提供了对单一边界驱动耗散 XX 自旋链的见解,该自旋链映射到一个相互作用的费米子模型。非平衡稳态表现出令人惊讶的相关效应,包括由动态受限跳变产生的空穴激元配对。我们的系统可以在许多实验平台上实现,包括电路 QED。
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引用次数: 0
Jamming Memory into Acoustically Trained Dense Suspensions under Shear 在剪切力作用下将记忆植入声学训练致密悬架
IF 12.5 1区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-05-14 DOI: 10.1103/physrevx.14.021027
Edward Y. X. Ong, Anna R. Barth, Navneet Singh, Meera Ramaswamy, Abhishek Shetty, Bulbul Chakraborty, James P. Sethna, Itai Cohen
Systems driven far from equilibrium often retain structural memories of their processing history. This memory has, in some cases, been shown to dramatically alter the material response. For example, work hardening in crystalline metals can alter the hardness, yield strength, and tensile strength to prevent catastrophic failure. Whether memory of processing history can be similarly exploited in flowing systems, where significantly larger changes in structure should be possible, remains poorly understood. Here, we demonstrate a promising route to embedding such useful memories. We build on work showing that exposing a sheared dense suspension to acoustic perturbations of different power allows for dramatically tuning the sheared suspension viscosity and underlying structure. We find that, for sufficiently dense suspensions, upon removing the acoustic perturbations, the suspension shear jams with shear stress contributions from the maximum compressive and maximum extensive axes that reflect or “remember” the acoustic training. Because the contributions from these two orthogonal axes to the total shear stress are antagonistic, it is possible to tune the resulting suspension response in surprising ways. For example, we show that differently trained sheared suspensions exhibit (1) different susceptibility to the same acoustic perturbation, (2) orders of magnitude changes in their instantaneous viscosities upon shear reversal, and (3) even a shear stress that increases in magnitude upon shear cessation. We work through these examples to explain the underlying mechanisms governing each behavior. Then, to illustrate the power of this approach for controlling suspension properties, we demonstrate that flowing states well below the shear jamming threshold can be shear jammed via acoustic training. Collectively, our work paves the way for using acoustically induced memory in dense suspensions to generate rapidly and widely tunable materials.
远离平衡状态的系统往往会保留其加工历史的结构记忆。在某些情况下,这种记忆会显著改变材料的反应。例如,结晶金属的加工硬化可以改变硬度、屈服强度和抗拉强度,从而防止灾难性的破坏。在流动系统中,结构可能会发生更大的变化,而加工历史的记忆是否也能在流动系统中得到类似的利用,人们对此还知之甚少。在此,我们展示了嵌入这种有用记忆的可行途径。我们的研究表明,将剪切致密悬浮液暴露在不同功率的声学扰动下,可以极大地调整剪切悬浮液的粘度和底层结构。我们发现,对于足够致密的悬浮液来说,在移除声学扰动后,悬浮液会发生剪切堵塞,来自最大压缩轴和最大扩展轴的剪切应力会反映或 "记住 "声学训练。由于这两个正交轴对总剪应力的贡献是对立的,因此有可能以令人惊讶的方式调整由此产生的悬浮响应。例如,我们发现不同训练的剪切悬浮液会表现出:(1)对相同声学扰动的敏感性不同;(2)剪切反转时瞬时粘度的数量级变化;以及(3)甚至在剪切停止时剪切应力的量级会增加。我们通过这些例子来解释每种行为的基本机制。然后,为了说明这种方法在控制悬浮特性方面的威力,我们演示了通过声学训练可以剪切干扰远低于剪切干扰阈值的流动状态。总之,我们的工作为在致密悬浮液中利用声学诱导记忆生成快速、广泛的可调材料铺平了道路。
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引用次数: 0
Charge-4e and Charge-6e Flux Quantization and Higher Charge Superconductivity in Kagome Superconductor Ring Devices 卡戈米超导体环形器件中的电荷-4e 和电荷-6e 通量量化与高电荷超导性
IF 12.5 1区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-05-13 DOI: 10.1103/physrevx.14.021025
Jun Ge, Pinyuan Wang, Ying Xing, Qiangwei Yin, Anqi Wang, Jie Shen, Hechang Lei, Ziqiang Wang, Jian Wang
The flux quantization is a key indication of electron pairing in superconductors. For example, the well-known h/2e flux quantization is considered strong evidence for the existence of charge-2e, two-electron Cooper pairs. Here we report evidence for multicharge flux quantization in mesoscopic ring devices fabricated using the transition-metal kagome superconductor CsV3Sb5. We perform systematic magnetotransport measurements and observe unprecedented quantization of magnetic flux in units of h/4e and h/6e in magnetoresistance oscillations. Specifically, at low temperatures, magnetoresistance oscillations with period h/2e are detected, as expected from the flux quantization for charge-2e superconductivity. We find that the h/2e oscillations are suppressed and replaced by resistance oscillations with h/4e periodicity when the temperature is increased. Increasing the temperature further suppresses the h/4e oscillations, and robust resistance oscillations with h/6e periodicity emerge as evidence for charge-6e flux quantization. Our observations provide the first experimental evidence for the existence of multicharge flux quanta and emergent quantum matter exhibiting higher-charge superconductivity in the strongly fluctuating region above the charge-2e Cooper pair condensate, revealing new insights into the intertwined and vestigial electronic order in kagome superconductors.
磁通量化是超导体中电子配对的一个关键指标。例如,众所周知的 h/2e 磁通量化被认为是电荷-2e、双电子库珀对存在的有力证据。在这里,我们报告了使用过渡金属卡戈米超导体 CsV3Sb5 制造的介观环形器件中存在多电荷磁通量化的证据。我们进行了系统的磁传输测量,并在磁阻振荡中观察到以 h/4e 和 h/6e 为单位的前所未有的磁通量子化。具体来说,在低温条件下,我们检测到了周期为 h/2e 的磁阻振荡,这是电荷-2e 超导的磁通量化所预期的。我们发现,当温度升高时,h/2e 振荡被抑制,取而代之的是周期为 h/4e 的电阻振荡。温度升高会进一步抑制 h/4e 振荡,并出现具有 h/6e 周期性的强电阻振荡,这是电荷-6e 通量量子化的证据。我们的观测首次提供了实验证据,证明在电荷-2e 库珀对凝聚体上方的强波动区域存在多电荷通量量子和表现出较高电荷超导性的新兴量子物质,揭示了神户超导体中交织和残留电子秩序的新见解。
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引用次数: 0
Thermodynamics of Computations with Absolute Irreversibility, Unidirectional Transitions, and Stochastic Computation Times 具有绝对不可逆、单向转换和随机计算时间的计算热力学
IF 12.5 1区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-05-13 DOI: 10.1103/physrevx.14.021026
Gonzalo Manzano, Gülce Kardeş, Édgar Roldán, David H. Wolpert
Developing a thermodynamic theory of computation is a challenging task at the interface of nonequilibrium thermodynamics and computer science. In particular, this task requires dealing with difficulties such as stochastic halting times, unidirectional (possibly deterministic) transitions, and restricted initial conditions, features common in real-world computers. Here, we present a framework which tackles all such difficulties by extending the martingale theory of nonequilibrium thermodynamics to generic nonstationary Markovian processes, including those with broken detailed balance and/or absolute irreversibility. We derive several universal fluctuation relations and second-law-like inequalities that provide both lower and upper bounds on the intrinsic dissipation (mismatch cost) associated with any periodic process—in particular, the periodic processes underlying all current digital computation. Crucially, these bounds apply even if the process has stochastic stopping times, as it does in many computational machines. We illustrate our results with exhaustive numerical simulations of deterministic finite automata processing bit strings, one of the fundamental models of computation from theoretical computer science. We also provide universal equalities and inequalities for the acceptance probability of words of a given length by a deterministic finite automaton in terms of thermodynamic quantities, and outline connections between computer science and stochastic resetting. Our results, while motivated from the computational context, are applicable far more broadly.
发展计算的热力学理论是非平衡热力学与计算机科学交界处的一项具有挑战性的任务。尤其是,这项任务需要处理诸如随机停止时间、单向(可能是确定性)转换和受限初始条件等现实世界计算机中常见的难题。在这里,我们提出了一个框架,通过将非平衡热力学的马氏理论扩展到一般非平稳马尔可夫过程,包括那些细节平衡被打破和/或绝对不可逆的过程,来解决所有这些难题。我们推导出了几种通用波动关系和类似第二定律的不等式,它们为与任何周期性过程--尤其是当前所有数字计算所依赖的周期性过程--相关的内在耗散(失配成本)提供了下限和上限。重要的是,即使进程具有随机停止时间,这些界限也适用,许多计算机器就是如此。我们通过对处理比特串的确定性有限自动机(理论计算机科学的基本计算模型之一)进行详尽的数值模拟来说明我们的结果。我们还从热力学量的角度为确定性有限自动机接受给定长度单词的概率提供了通用等式和不等式,并概述了计算机科学与随机重置之间的联系。我们的结果虽然是在计算的背景下产生的,但适用范围更广。
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Physical Review X
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