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Machine-Learning Quantum States in the NISQ Era NISQ时代的机器学习量子态
IF 22.6 1区 物理与天体物理 Q1 Materials Science Pub Date : 2019-05-10 DOI: 10.1146/annurev-conmatphys-031119-050651
G. Torlai, R. Melko
We review the development of generative modeling techniques in machine learning for the purpose of reconstructing real, noisy, many-qubit quantum states. Motivated by its interpretability and utility, we discuss in detail the theory of the restricted Boltzmann machine. We demonstrate its practical use for state reconstruction, starting from a classical thermal distribution of Ising spins, then moving systematically through increasingly complex pure and mixed quantum states. We review recent techniques in reconstruction of a cold atom wavefunction, intended for use on experimental noisy intermediate-scale quantum (NISQ) devices. Finally, we discuss the outlook for future experimental state reconstruction using machine learning in the NISQ era and beyond.
我们回顾了机器学习中生成建模技术的发展,以重建真实的、有噪声的、多量子比特的量子态。受其可解释性和实用性的启发,我们详细讨论了受限玻尔兹曼机的理论。我们展示了它在状态重建中的实际应用,从伊辛自旋的经典热分布开始,然后系统地穿过越来越复杂的纯量子态和混合量子态。我们回顾了最近重建冷原子波函数的技术,该技术旨在用于实验噪声中尺度量子(NISQ)器件。最后,我们讨论了在NISQ时代及以后使用机器学习进行实验状态重建的前景。
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引用次数: 71
Topology and Broken Symmetry in Floquet Systems Floquet系统的拓扑与破对称性
IF 22.6 1区 物理与天体物理 Q1 Materials Science Pub Date : 2019-05-03 DOI: 10.1146/annurev-conmatphys-031218-013721
Fenner Harper, R. Roy, M. Rudner, S. Sondhi
Floquet systems are governed by periodic, time-dependent Hamiltonians. Prima facie they should absorb energy from the external drives involved in modulating their couplings and heat up to infinite temperature. However, this unhappy state of affairs can be avoided in many ways. Instead, as has become clear from much recent work, Floquet systems can exhibit a variety of nontrivial behavior—some of which is impossible in undriven systems. In this review, we describe the main ideas and themes of this work: novel Floquet drives that exhibit nontrivial topology in single-particle systems, the existence and classification of exotic Floquet drives in interacting systems, and the attendant notion of many-body Floquet phases and arguments for their stability to heating.
Floquet系统由周期的、时变的哈密顿量控制。表面上看,它们应该从外部驱动器中吸收能量,以调制它们的耦合并加热到无限的温度。然而,这种不愉快的状态可以通过许多方法来避免。相反,从最近的许多工作中可以清楚地看出,Floquet系统可以表现出各种各样的重要行为,其中一些在非驱动系统中是不可能的。在这篇综述中,我们描述了这项工作的主要思想和主题:在单粒子系统中表现出非平凡拓扑的新型Floquet驱动器,相互作用系统中奇异Floquet驱动器的存在和分类,以及随之而来的多体Floquet相的概念及其对加热稳定性的争论。
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引用次数: 140
The Physics of Pair-Density Waves: Cuprate Superconductors and Beyond 对密度波的物理:Cuprate超导体及其超越
IF 22.6 1区 物理与天体物理 Q1 Materials Science Pub Date : 2019-04-22 DOI: 10.1146/annurev-conmatphys-031119-050711
D. Agterberg, J. C. Davis, S. Edkins, E. Fradkin, D. Harlingen, S. Kivelson, P. Lee, L. Radzihovsky, J. Tranquada, Yuxuan Wang
We review the physics of pair-density wave (PDW) superconductors. We begin with a macroscopic description that emphasizes order induced by PDW states, such as charge-density wave, and discuss related vestigial states that emerge as a consequence of partial melting of the PDW order. We review and critically discuss the mounting experimental evidence for such PDW order in the cuprate superconductors, the status of the theoretical microscopic description of such order, and the current debate on whether the PDW is a mother order or another competing order in the cuprates. In addition, we give an overview of the weak coupling version of PDW order, Fulde–Ferrell–Larkin–Ovchinnikov states, in the context of cold atom systems, unconventional superconductors, and noncentrosymmetric and Weyl materials.
我们综述了对密度波超导体的物理性质。我们从宏观描述开始,强调由PDW态(如电荷密度波)引起的有序,并讨论由于PDW有序的部分熔化而出现的相关残余态。我们回顾并批判性地讨论了铜酸盐超导体中这种PDW有序的实验证据,这种有序的理论微观描述的现状,以及目前关于PDW是铜酸盐中的母有序还是另一个竞争有序的争论。此外,我们还概述了在冷原子系统、非常规超导体以及非中心对称和Weyl材料的背景下,PDW阶的弱耦合形式Fulde–Ferrell–Larkin–Ovchinnikov态。
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引用次数: 225
Nonequilibrium Aspects of Integrable Models 可积模型的非平衡方面
IF 22.6 1区 物理与天体物理 Q1 Materials Science Pub Date : 2019-04-19 DOI: 10.1146/annurev-conmatphys-031119-050630
C. Rylands, N. Andrei
Driven by breakthroughs in experimental and theoretical techniques, the study of nonequilibrium quantum physics is a rapidly expanding field with many exciting new developments. Among the manifold ways the topic can be investigated, one-dimensional systems provide a particularly fine platform. The trifecta of strongly correlated physics, powerful theoretical techniques, and experimental viability have resulted in a flurry of research activity over the past decade or so. In this review, we explore the nonequilibrium aspects of one-dimensional systems that are integrable. Through a number of illustrative examples, we discuss nonequilibrium phenomena that arise in such models, the role played by integrability, and the consequences these have for more generic systems.
在实验和理论技术突破的推动下,非平衡量子物理研究是一个迅速发展的领域,有许多令人兴奋的新进展。在研究该主题的多种方式中,一维系统提供了一个特别好的平台。在过去十年左右的时间里,强相关物理学、强大的理论技术和实验可行性的三重优势导致了一系列的研究活动。在这篇综述中,我们探索了可积的一维系统的非平衡方面。通过一些说明性的例子,我们讨论了这种模型中出现的非平衡现象,可积性所起的作用,以及这些现象对更一般的系统的影响。
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引用次数: 9
Counting Rules of Nambu–Goldstone Modes Nambu-Goldstone模式的计数规则
IF 22.6 1区 物理与天体物理 Q1 Materials Science Pub Date : 2019-04-01 DOI: 10.1146/annurev-conmatphys-031119-050644
Haruki Watanabe
When global continuous symmetries are spontaneously broken, there appear gapless collective excitations called Nambu–Goldstone modes (NGMs) that govern the low-energy property of the system. The application of this famous theorem ranges from high-energy particle physics to condensed matter and atomic physics. When a symmetry breaking occurs in systems that lack the Lorentz invariance to start with, as is usually the case in condensed matter systems, the number of resulting NGMs can be lower than that of broken symmetry generators, and the dispersion of NGMs is not necessarily linear. In this article, we review recently established formulae for NGMs associated with broken internal symmetries that work equally for relativistic and nonrelativistic systems. We also discuss complexities of NGMs originating from space-time symmetry breaking. Along the way we cover many illuminating examples from various context. We also present a complementary point of view from the Lieb–Schultz–Mattis theorem.
当全局连续对称性被自发打破时,就会出现被称为Nambu-Goldstone模式(NGMs)的无间隙集体激发,它控制着系统的低能量特性。这个著名定理的应用范围从高能粒子物理到凝聚态物质和原子物理。当对称性破缺发生在缺乏洛伦兹不变性的系统中时,就像在凝聚态系统中通常发生的那样,所产生的ngm的数量可能低于对称性破缺产生器的数量,并且ngm的色散不一定是线性的。在这篇文章中,我们回顾了最近建立的与破缺内部对称相关的ngm公式,这些公式同样适用于相对论和非相对论系统。我们还讨论了由时空对称性破缺引起的ngm的复杂性。在此过程中,我们涵盖了来自不同背景的许多有启发性的例子。我们还提出了利布-舒尔茨-马蒂斯定理的一个补充观点。
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引用次数: 49
Quantum Turbulence in Quantum Gases 量子气体中的量子湍流
IF 22.6 1区 物理与天体物理 Q1 Materials Science Pub Date : 2019-03-28 DOI: 10.1146/annurev-conmatphys-031119-050821
L. Madeira, M. Caracanhas, F. E. A. Santos, V. Bagnato
Turbulence is characterized by a large number of degrees of freedom, distributed over several length scales, that result in a disordered state of a fluid. The field of quantum turbulence deals with the manifestation of turbulence in quantum fluids, such as liquid helium and ultracold gases. We review, from both experimental and theoretical points of view, advances in quantum turbulence focusing on atomic Bose–Einstein condensates. We also explore the similarities and differences between quantum and classical turbulence. Last, we present challenges and possible directions for the field. We summarize questions that are being asked in recent works, which need to be answered in order to understand fundamental properties of quantum turbulence, and we provide some possible ways of investigating them.
湍流的特征是分布在几个长度尺度上的大量自由度,导致流体处于无序状态。量子湍流领域涉及量子流体中湍流的表现,如液氦和超冷气体。我们从实验和理论两个角度回顾了量子湍流的进展,重点关注原子玻色-爱因斯坦凝聚体。我们还探讨了量子湍流和经典湍流之间的异同。最后,我们提出了该领域的挑战和可能的方向。我们总结了最近工作中提出的问题,这些问题需要回答才能理解量子湍流的基本性质,并提供了一些可能的研究方法。
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引用次数: 33
Unveiling the Active Nature of Living-Membrane Fluctuations and Mechanics 揭开活膜波动和力学的活跃本质
IF 22.6 1区 物理与天体物理 Q1 Materials Science Pub Date : 2019-03-11 DOI: 10.1146/ANNUREV-CONMATPHYS-031218-013757
H. Turlier, T. Betz
Soft-condensed matter physics has provided, in the past decades, many of the relevant concepts and methods allowing successful description of living cells and biological tissues. This recent quantitative physical description of biological systems has profoundly advanced our understanding of life, which is shifting from a descriptive to a predictive level. Like other active materials investigated in condensed matter physics, biological materials still pose great challenges to modern physics as they form a specific class of nonequilibrium systems. Actively driven membranes have been studied for more than two decades, taking advantage of rapid progress in membrane physics and in the experimental development of reconstituted active membranes. The physical description of activity within living biological membranes remains, however, a key challenge that animates a dynamic research community, bringing together physicists and biologists. Here, we first review the past two decades of experimental and theoretical advances that enabled the characterization of mechanical properties and nonequilibrium fluctuations in active membranes. We distinguish active processes originating from membrane proteins or from external interactions, such as cytoskeletal forces. Then, we focus on the emblematic case of red blood cell flickering, the active origin of which has been debated for decades until recently. We finally close this review by discussing future challenges in this ever more interdisciplinary field.
在过去的几十年里,软凝聚态物理提供了许多相关的概念和方法,从而成功地描述了活细胞和生物组织。最近对生物系统的定量物理描述深刻地推进了我们对生命的理解,它正在从描述层面转向预测层面。与凝聚态物理中研究的其他活性材料一样,生物材料仍然对现代物理学提出了巨大的挑战,因为它们形成了一类特殊的非平衡系统。主动驱动膜的研究已经进行了二十多年,这得益于膜物理学的快速发展和重组活性膜的实验发展。然而,对活生物膜内活动的物理描述仍然是一个关键的挑战,它激发了一个充满活力的研究界,将物理学家和生物学家聚集在一起。在这里,我们首先回顾了过去二十年的实验和理论进展,这些进展使活性膜的机械性能和非平衡波动的表征成为可能。我们区分源自膜蛋白或外部相互作用(如细胞骨架力)的活性过程。然后,我们专注于红细胞闪烁的标志性案例,其活跃的起源已经争论了几十年,直到最近。最后,我们通过讨论这个跨学科领域的未来挑战来结束这次回顾。
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引用次数: 29
From Biology to Physics and Back: The Problem of Brownian Movement 从生物学到物理学再到物理学:布朗运动的问题
IF 22.6 1区 物理与天体物理 Q1 Materials Science Pub Date : 2019-03-11 DOI: 10.1146/ANNUREV-CONMATPHYS-031218-013318
A. Libchaber
This article focuses on the history of theoretical ideas but also on the developments of experimental tools. The experiments in our laboratory are used to illustrate the various developments associated with Brownian movement. In the first part of this review, we give an overview of the theory. We insist on the pre-Einstein approach to the problem by Lord Rayleigh, Bachelier, and Smoluchowski. In the second part, we detail the achievements of Perrin, measuring Avogadro's number, quantifying the experimental observations of Brownian movement, and introducing the problem of continuous curves without tangent, a precursor to fractal theory. The third part deals with modern application of Brownian movement, escape from a fixed optical trap, particle dynamics on a moving trap, and finally development of Brownian thermal ratchets. Finally, we give a short overview of bacteria motion, presented like an active Brownian movement with very high effective temperature.
这篇文章的重点是理论思想的历史,但也对实验工具的发展。我们实验室的实验是用来说明与布朗运动有关的各种发展的。在本文的第一部分,我们对该理论进行了概述。我们坚持采用瑞利勋爵、巴切利耶和斯摩鲁乔斯基提出的爱因斯坦之前的方法来解决这个问题。在第二部分,我们详细介绍了Perrin的成就,测量了阿伏伽德罗数,量化了布朗运动的实验观察,并引入了无切线的连续曲线问题,这是分形理论的先驱。第三部分讨论了布朗运动的现代应用、固定光阱的逃逸、运动阱上的粒子动力学以及布朗热棘轮的发展。最后,我们对细菌的运动进行了简要的概述,细菌的运动表现为活跃的布朗运动,具有很高的有效温度。
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引用次数: 10
From Stochastic Thermodynamics to Thermodynamic Inference 从随机热力学到热力学推断
IF 22.6 1区 物理与天体物理 Q1 Materials Science Pub Date : 2019-03-11 DOI: 10.1146/ANNUREV-CONMATPHYS-031218-013554
U. Seifert
For a large class of nonequilibrium systems, thermodynamic notions like work, heat, and, in particular, entropy production can be identified on the level of fluctuating dynamical trajectories. Within stochastic thermodynamics various fluctuation theorems relating these quantities have been proven. Their application to experimental systems requires that all relevant mesostates are accessible. Recent advances address the typical situation that only partial, or coarse-grained, information about a system is available. Thermodynamic inference as a general strategy uses consistency constraints derived from stochastic thermodynamics to infer otherwise hidden properties of nonequilibrium systems. An important class in this respect are active particles, for which we resolve the conflicting strategies that have been proposed to identify entropy production. As a paradigm for thermodynamic inference, the thermodynamic uncertainty relation provides a lower bound on the entropy production through measurements of the dispersion of any current in the system. Likewise, it quantifies the cost of precision for biomolecular processes. Generalizations and ramifications allow the inference of, inter alia, model-free upper bounds on the efficiency of molecular motors and of the minimal number of intermediate states in enzymatic networks.
对于一大类非平衡系统,热力学概念,如功、热,特别是熵的产生,可以在波动动力学轨迹的水平上确定。在随机热力学中,已经证明了与这些量有关的各种涨落定理。它们在实验系统中的应用要求所有相关的中间状态都是可访问的。最近的进展解决了只有部分或粗粒度的系统信息可用的典型情况。热力学推理作为一种一般策略,使用从随机热力学中导出的一致性约束来推断非平衡系统的其他隐藏性质。在这方面,一个重要的类别是活跃粒子,我们解决了已经提出的识别熵产生的冲突策略。作为热力学推理的范例,热力学不确定性关系通过测量系统中任何电流的色散提供了熵产生的下界。同样,它量化了生物分子过程的精度成本。推广和分支允许推断,除其他外,分子马达效率的无模型上界和酶网络中中间状态的最小数量。
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引用次数: 133
A Tour of My Soft Matter Garden: From Shining Globules and Soap Bubbles to Cell Aggregates 我的软物质花园之旅:从闪亮的球状物和肥皂泡到细胞聚集物
IF 22.6 1区 物理与天体物理 Q1 Materials Science Pub Date : 2019-03-10 DOI: 10.1146/ANNUREV-CONMATPHYS-031218-013454
F. Brochard-Wyart
Like The Magic Flute, my career has been paved by wonderful and unexpected stories played by enthusiastic and talented students, in close contact with experiments and industry. I participated in the birth of soft matter physics under the impulse of Pierre-Gilles de Gennes: polymers, liquid crystals, colloids, and wetting, which I later applied to the study of living matter. By teaching in the early days at the Institut Universitaire de Technologies d'Orsay, I came into contact with industry, which gave me the chance to collaborate with several companies: Rhône-Poulenc, Dior, Saint-Gobain, Rhodia, and Michelin. These partners have not only largely financed my research in physical chemistry but they also offered a wealth of innovative research topics. In 1996, when Professor Jacques Prost became the director of the Physico-Chimie Curie laboratory, in the Pavillon Curie built for Marie Curie, I turned to biophysics. I initiated collaborations with biologists, applying soft matter physics to the mechanics of cells and tissues. Pierre-Gilles de Gennes has been a wonderful guide throughout this scientific adventure to build my soft matter garden.
就像《魔笛》一样,我的职业生涯是由热情而有才华的学生们演奏的精彩而意想不到的故事铺就的,他们与实验和工业有着密切的联系。在Pierre Gilles de Gennes的推动下,我参与了软物质物理学的诞生:聚合物、液晶、胶体和润湿,后来我将其应用于生命物质的研究。早期在奥赛大学技术学院任教,我接触到了工业界,这让我有机会与几家公司合作:罗纳·普朗克、迪奥、圣戈班、罗地亚和米其林。这些合作伙伴不仅为我的物理化学研究提供了大量资金,而且还提供了丰富的创新研究主题。1996年,当雅克·普罗斯特教授成为物理奇米·居里实验室的主任时,我转向了生物物理学。我开始与生物学家合作,将软物质物理学应用于细胞和组织的力学。Pierre Gilles de Gennes在建造我的软物质花园的整个科学冒险过程中一直是一位出色的向导。
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引用次数: 1
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Annual Review of Condensed Matter Physics
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