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PT-symmetric, non-Hermitian quantum many-body physics-a methodological perspective. $mathcal{PT}$对称、非埃尔米特量子多体物理——一种方法论视角。
Pub Date : 2023-11-16 DOI: 10.1088/1361-6633/ad05f3
V Meden, L Grunwald, D M Kennes

We review the methodology to theoretically treat parity-time- (PT-) symmetric, non-Hermitian quantum many-body systems. They are realized as open quantum systems withPTsymmetry and couplings to the environment which are compatible.PT-symmetric non-Hermitian quantum systems show a variety of fascinating properties which single them out among generic open systems. The study of the latter has a long history in quantum theory. These studies are based on the Hermiticity of the combined system-reservoir setup and were developed by the atomic, molecular, and optical physics as well as the condensed matter physics communities. The interest of the mathematical physics community inPT-symmetric, non-Hermitian systems led to a new perspective and the development of the elegant mathematical formalisms ofPT-symmetric and biorthogonal quantum mechanics, which do not make any reference to the environment. In the mathematical physics research, the focus is mainly on the remarkable spectral properties of the Hamiltonians and the characteristics of the corresponding single-particle eigenstates. Despite being non-Hermitian, the Hamiltonians can show parameter regimes, in which all eigenvalues are real. To investigate emergent quantum many-body phenomena in condensed matter physics and to make contact to experiments one, however, needs to study expectation values of observables and correlation functions. One furthermore, has to investigate statistical ensembles and not only eigenstates. The adoption of the concepts ofPT-symmetric and biorthogonal quantum mechanics by parts of the condensed matter community led to a controversial status of the methodology. There is no consensus on fundamental issues, such as, what a proper observable is, how expectation values are supposed to be computed, and what adequate equilibrium statistical ensembles and their corresponding density matrices are. With the technological progress in engineering and controlling open quantum many-body systems it is high time to reconcile the Hermitian with thePT-symmetric and biorthogonal perspectives. We comprehensively review the different approaches, including the overreaching idea of pseudo-Hermiticity. To motivate the Hermitian perspective, which we propagate here, we mainly focus on the ancilla approach. It allows to embed a non-Hermitian system into a larger, Hermitian one. In contrast to other techniques, e.g. master equations, it does not rely on any approximations. We discuss the peculiarities ofPT-symmetric and biorthogonal quantum mechanics. In these, what is considered to be an observable depends on the Hamiltonian or the selected (biorthonormal) basis. Crucially in addition, what is denoted as an 'expectation value' lacks a direct probabilistic interpretation, and what is viewed as the canonical density matrix is non-stationary and non-Hermitian. Furthermore, the non-unitarity of the time evolution is hidden within the formalism. We pick up several model Hamiltonians, which so far

我们回顾了从理论上处理宇称时间-($mathcal{PT}$-)对称、非埃尔米特量子多体系统的方法。。。
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引用次数: 3
Heterogeneous anomalous transport in cellular and molecular biology. 细胞和分子生物学中的不均匀异常转运。
Pub Date : 2023-11-06 DOI: 10.1088/1361-6633/ad058f
Thomas Andrew Waigh, Nickolay Korabel

It is well established that a wide variety of phenomena in cellular and molecular biology involve anomalous transport e.g. the statistics for the motility of cells and molecules are fractional and do not conform to the archetypes of simple diffusion or ballistic transport. Recent research demonstrates that anomalous transport is in many cases heterogeneous in both time and space. Thus single anomalous exponents and single generalised diffusion coefficients are unable to satisfactorily describe many crucial phenomena in cellular and molecular biology. We consider advances in the field ofheterogeneous anomalous transport(HAT) highlighting: experimental techniques (single molecule methods, microscopy, image analysis, fluorescence correlation spectroscopy, inelastic neutron scattering, and nuclear magnetic resonance), theoretical tools for data analysis (robust statistical methods such as first passage probabilities, survival analysis, different varieties of mean square displacements, etc), analytic theory and generative theoretical models based on simulations. Special emphasis is made on high throughput analysis techniques based on machine learning and neural networks. Furthermore, we consider anomalous transport in the context of microrheology and the heterogeneous viscoelasticity of complex fluids. HAT in the wavefronts of reaction-diffusion systems is also considered since it plays an important role in morphogenesis and signalling. In addition, we present specific examples from cellular biology including embryonic cells, leucocytes, cancer cells, bacterial cells, bacterial biofilms, and eukaryotic microorganisms. Case studies from molecular biology include DNA, membranes, endosomal transport, endoplasmic reticula, mucins, globular proteins, and amyloids.

众所周知,细胞和分子生物学中的各种现象都涉及异常转运,例如细胞和分子运动的统计数据是部分的,不符合简单扩散或弹道转运的原型。最近的研究表明,在许多情况下,异常传输在时间和空间上都是异质的。因此,单一的反常指数和单一的广义扩散系数不能令人满意地描述细胞和分子生物学中的许多关键现象。我们认为非均匀异常输运(HAT)领域的进展突出:实验技术(单分子方法、显微镜、图像分析、荧光相关光谱、非弹性中子散射和NMR),数据分析的理论工具(稳健的统计方法,如首次通过概率、生存分析、不同的均方位移等)、分析理论和基于模拟的生成理论模型。特别强调基于机器学习和神经网络的高通量分析技术。此外,我们在微观流变学和复杂流体的非均匀粘弹性的背景下考虑了异常输运。HAT在反应-扩散系统的波前中也被考虑,因为它在形态发生和信号传导中起着重要作用。此外,我们还介绍了细胞生物学的具体实例,包括:胚胎细胞、白细胞、癌症细胞、细菌细胞、细菌生物膜和真核微生物。分子生物学的案例研究包括:DNA、膜、内涵体运输、内质网、粘蛋白、球状蛋白和淀粉样蛋白。
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引用次数: 3
Tuning and exploiting interlayer coupling in two-dimensional van der Waals heterostructures. 在二维范德华异质结构中调谐和利用层间耦合。
Pub Date : 2023-10-20 DOI: 10.1088/1361-6633/acfe89
Chenyin Jiao, Shenghai Pei, Song Wu, Zenghui Wang, Juan Xia

Two-dimensional (2D) layered materials can stack into new material systems, with van der Waals (vdW) interaction between the adjacent constituent layers. This stacking process of 2D atomic layers creates a new degree of freedom-interlayer interface between two adjacent layers-that can be independently studied and tuned from the intralayer degree of freedom. In such heterostructures (HSs), the physical properties are largely determined by the vdW interaction between the individual layers,i.e.interlayer coupling, which can be effectively tuned by a number of means. In this review, we summarize and discuss a number of such approaches, including stacking order, electric field, intercalation, and pressure, with both their experimental demonstrations and theoretical predictions. A comprehensive overview of the modulation on structural, optical, electrical, and magnetic properties by these four approaches are also presented. We conclude this review by discussing several prospective research directions in 2D HSs field, including fundamental physics study, property tuning techniques, and future applications.

二维层状材料可以堆叠成新的材料系统,相邻组成层之间存在范德华相互作用。二维原子层的这种堆叠过程在两个相邻层之间创建了一个新的自由度层间界面,该界面可以根据层内自由度进行独立研究和调整。在这种异质结构中,物理性质在很大程度上由各个层之间的vdW相互作用决定,即层间耦合,可以通过多种方式进行有效调节。在这篇综述中,我们总结并讨论了许多这样的方法,包括堆叠顺序、电场、插层和压力,以及它们的实验演示和理论预测。还对这四种方法对结构、光学、电学和磁学性质的调制进行了全面的概述。我们通过讨论二维异质结构领域的几个前瞻性研究方向来总结这篇综述,包括基础物理研究、性质调整技术和未来应用。
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引用次数: 0
Catalysis of entanglement and other quantum resources. 纠缠和其他量子资源的催化作用。
Pub Date : 2023-10-18 DOI: 10.1088/1361-6633/acfbec
Chandan Datta, Tulja Varun Kondra, Marek Miller, Alexander Streltsov

In chemistry, a catalyst is a substance which enables a chemical reaction or increases its rate, while remaining unchanged in the process. Instead of chemical reactions,quantum catalysisenhances our ability to convert quantum states into each other under physical constraints. The nature of the constraints depends on the problem under study and can arise, e.g. from energy preservation. This article reviews the most recent developments in quantum catalysis and gives a historical overview of this research direction. We focus on the catalysis of quantum entanglement and coherence, and also discuss this phenomenon in quantum thermodynamics and general quantum resource theories. We review applications of quantum catalysis and also discuss the recent efforts on universal catalysis, where the quantum state of the catalyst does not depend on the states to be transformed. Catalytic embezzling is also considered, a phenomenon that occurs if the catalyst's state can change in the transition.

在化学中,催化剂是一种能够进行化学反应或提高反应速率,同时在反应过程中保持不变的物质。量子催化增强了我们在物理约束下将量子态相互转化的能力,而不是化学反应。约束的性质取决于所研究的问题,例如,可能由能源保护引起。本文综述了量子催化的最新进展,并对这一研究方向进行了历史综述。我们重点讨论了量子纠缠和相干的催化作用,并在量子热力学和一般量子资源理论中讨论了这一现象。我们回顾了量子催化的应用,并讨论了最近在通用催化方面的努力,其中催化剂的量子态不取决于要转化的状态。催化挪用也被考虑在内,如果催化剂的状态在过渡过程中发生变化,就会出现这种现象。
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引用次数: 11
Non-local and non-Hermitian acoustic metasurfaces. 非局部和非埃尔米特声学元表面。
Pub Date : 2023-10-10 DOI: 10.1088/1361-6633/acfbeb
Xu Wang, Ruizhi Dong, Yong Li, Yun Jing

Acoustic metasurfaces are at the frontier of acoustic functional material research owing to their advanced capabilities of wave manipulation at an acoustically vanishing size. Despite significant progress in the last decade, conventional acoustic metasurfaces are still fundamentally limited by their underlying physics and design principles. First, conventional metasurfaces assume that unit cells are decoupled and therefore treat them individually during the design process. Owing to diffraction, however, the non-locality of the wave field could strongly affect the efficiency and even alter the behavior of acoustic metasurfaces. Additionally, conventional acoustic metasurfaces operate by modulating the phase and are typically treated as lossless systems. Due to the narrow regions in acoustic metasurfaces' subwavelength unit cells, however, losses are naturally present and could compromise the performance of acoustic metasurfaces. While the conventional wisdom is to minimize these effects, a counter-intuitive way of thinking has emerged, which is to harness the non-locality as well as loss for enhanced acoustic metasurface functionality. This has led to a new generation of acoustic metasurface design paradigm that is empowered by non-locality and non-Hermicity, providing new routes for controlling sound using the acoustic version of 2D materials. This review details the progress of non-local and non-Hermitian acoustic metasurfaces, providing an overview of the recent acoustic metasurface designs and discussing the critical role of non-locality and loss in acoustic metasurfaces. We further outline the synergy between non-locality and non-Hermiticity, and delineate the potential of using non-local and non-Hermitian acoustic metasurfaces as a new platform for investigating exceptional points, the hallmark of non-Hermitian physics. Finally, the current challenges and future outlook for this burgeoning field are discussed.

声学超表面处于声学功能材料研究的前沿,因为它们具有在声学消失尺寸下操纵波的先进能力。尽管在过去十年中取得了重大进展,但传统的声学超表面仍然受到其基本物理和设计原理的根本限制。首先,传统的元表面假设单元是解耦的,因此在设计过程中单独处理它们。然而,由于衍射,波场的非局部性可能会强烈影响效率,甚至改变声学超表面的行为。此外,传统的声学超表面通过调制相位来操作,并且通常被视为无损系统。然而,由于声学超表面亚波长晶胞中的狭窄区域,损耗是自然存在的,可能会影响声学超表面的性能。虽然传统的智慧是尽量减少这些影响,但一种反直觉的思维方式已经出现,那就是利用非局部性和损失来增强声学元表面功能。这导致了新一代的声学元表面设计范式,该范式由非局部性和非Hermitity赋予权力,为使用2D材料的声学版本控制声音提供了新的途径 ;这篇综述详细介绍了非局部和非埃尔米特声学超表面的进展,概述了最近的声学超表面设计,并讨论了非局部性和损耗在声学超表面中的关键作用。我们进一步概述了非局域性和非埃尔米特性之间的协同作用,并描述了使用非局域性非埃尔米特声学元表面作为研究异常点(EP)的新平台的潜力,异常点是非埃尔米特物理学的标志。最后,讨论了这一新兴领域目前面临的挑战和未来前景。
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引用次数: 1
Viscosity and diffusion in life processes and tuning of fundamental constants. 生命过程中的粘度和扩散以及基本常数的调整。
Pub Date : 2023-10-09 DOI: 10.1088/1361-6633/acfd3e
K Trachenko

Viewed as one of the grandest questions in modern science, understanding fundamental physical constants has been discussed in high-energy particle physics, astronomy and cosmology. Here, I review how condensed matter and liquid physics gives new insights into fundamental constants and their tuning. This is based on two observations: first, cellular life and the existence of observers depend on viscosity and diffusion. Second, the lower bound on viscosity and upper bound on diffusion are set by fundamental constants, and I briefly review this result and related recent developments in liquid physics. I will subsequently show that bounds on viscosity, diffusion and the newly introduced fundamental velocity gradient in a biochemical machine can all be varied while keeping the fine-structure constant and the proton-to-electron mass ratio intact. This implies that it is possible to produce heavy elements in stars but have a viscous planet where all liquids have very high viscosity (for example that of tar or higher) and where life may not exist. Knowing the range of bio-friendly viscosity and diffusion, we will be able to calculate the range of fundamental constants which favour cellular life and observers and compare this tuning with that discussed in high-energy physics previously. This invites an inter-disciplinary research between condensed matter physics and life sciences, and I formulate several questions that life science can address. I finish with a conjecture of multiple tuning and an evolutionary mechanism.

理解基本物理常数被认为是现代科学中最重要的问题之一,在高能粒子物理学、天文学和宇宙学中都有讨论。在这里,我回顾了凝聚态和液体物理学如何对基本常数及其调谐提供新的见解。这是基于两个观察结果:首先,细胞寿命和观察者的存在取决于粘度和扩散。其次,粘度的下限和扩散的上限是由基本常数设定的,我简要回顾了这一结果和液体物理学的最新进展。我随后将证明,在保持精细结构不变和质子与电子质量比不变的情况下,生化机器中粘度、扩散和新引入的基本速度梯度的界限都可以改变。这意味着有可能在恒星中产生重元素,但有一个粘性行星,所有液体的粘度都很高(例如焦油或更高的粘度),而且可能不存在生命。了解了生物友好粘度和扩散的范围,我们将能够计算出有利于细胞生命和观察者的基本常数的范围,并将这种调整与之前在高能物理学中讨论的调整进行比较。这邀请了凝聚态物理学和生命科学之间的跨学科研究,我提出了生命科学可以解决的几个问题。最后,我提出了一个关于多重调谐和进化机制的猜想。
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引用次数: 1
Quantum interactions in topological R166 kagome magnet. 拓扑R166kagome磁体中的量子相互作用。
Pub Date : 2023-10-09 DOI: 10.1088/1361-6633/acfd3d
Xitong Xu, Jiaxin Yin, Zhe Qu, Shuang Jia

Kagome magnet has been found to be a fertile ground for the search of exotic quantum states in condensed matter. Arising from the unusual geometry, the quantum interactions in the kagome lattice give rise to various quantum states, including the Chern-gapped Dirac fermion, Weyl fermion, flat band and van Hove singularity. Here we review recent advances in the study of the R166 kagome magnet (RT6E6, R = rare earths; T = transition metals; and E = Sn, Ge, etc) whose crystal structure highlights the transition-metal-based kagome lattice and rare-earth sublattice. Compared with other kagome magnets, the R166 family owns the particularly strong interplays between thedelectrons on the kagome site and the localizedfelectrons on the rare-earth site. In the form of spin-orbital coupling, exchange interaction and many-body effect, the quantum interactions play an essential role in the Berry curvature in both the reciprocal and real spaces of R166 family. We discuss the spectroscopic and transport visualization of the topological electrons hosted in the Mn kagome layer of RMn6Sn6and the various topological effects due to the quantum interactions, including the Chern-gap opening, the exchange-biased effect, the topological Hall effect and the emergent inductance. We hope this work serves as a guide for future explorations of quantum magnets.

戈薇磁铁被发现是在凝聚态中寻找奇异量子态的沃土。由于不寻常的几何结构,kagome晶格中的量子相互作用产生了各种量子态,包括Chern带隙Dirac费米子、Weyl费米子,平带和van Hove奇点。本文综述了R166戈姆磁体(RT6E6,R=稀土;T=过渡金属;E=Sn、Ge等)的研究进展,其晶体结构突出了过渡金属基戈姆晶格和稀土亚晶格。与其他戈姆磁体相比,R166家族在戈姆位置上的电子与稀土位置上的局域电子之间具有特别强的相互作用。在R166族的倒数空间和实空间中,量子相互作用以自旋-轨道耦合、交换相互作用和多体效应的形式对Berry曲率起着重要作用。我们讨论了RMn6Sn6的Mn kagome层中的拓扑电子的光谱和输运可视化,以及由于量子相互作用引起的各种拓扑效应,包括Chern空位、交换偏置效应、拓扑霍尔效应和出射电感。我们希望这项工作能为未来量子磁体的探索提供指导。
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引用次数: 1
A review of UTe2at high magnetic fields. UTe2在高磁场下的研究进展。
Pub Date : 2023-10-06 DOI: 10.1088/1361-6633/acfb93
Sylvia K Lewin, Corey E Frank, Sheng Ran, Johnpierre Paglione, Nicholas P Butch

Uranium ditelluride (UTe2) is recognized as a host material to unconventional spin-triplet superconductivity, but it also exhibits a wealth of additional unusual behavior at high magnetic fields. One of the most prominent signatures of the unconventional superconductivity is a large and anisotropic upper critical field that exceeds the paramagnetic limit. This superconductivity survives to 35 T and is bounded by a discontinuous magnetic transition, which itself is also field-direction-dependent. A different, reentrant superconducting phase emerges only on the high-field side of the magnetic transition, in a range of angles between the crystallographicbandcaxes. This review discusses the current state of knowledge of these high-field phases, the high-field behavior of the heavy fermion normal state, and other phases that are stabilized by applied pressure.

二碲化铀(UTe2)被认为是非常规自旋三重态超导的主体材料,但它在高磁场下也表现出丰富的额外异常行为。非常规超导最显著的特征之一是一个大的各向异性上临界场,它超过了顺磁极限。这种超导电性可以存活到35T,并受到不连续的磁跃迁的限制,而磁跃迁本身也与场方向有关。一个不同的再入超导相只出现在磁跃迁的高场侧,在晶体带之间的一系列角度内。这篇综述讨论了这些高场相的知识现状,重费米子正态的高场行为,以及通过施加压力稳定的其他相。
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引用次数: 0
High harmonic generation in solids: particle and wave perspectives. 固体中的高次谐波产生:粒子和波的视角。
Pub Date : 2023-10-04 DOI: 10.1088/1361-6633/acf144
Liang Li, Pengfei Lan, Xiaosong Zhu, Peixiang Lu

High harmonic generation (HHG) from gas-phase atoms (or molecules) has opened up a new frontier in ultrafast optics, where attosecond time resolution and angstrom spatial resolution are accessible. The fundamental physical pictures of HHG are always explained by the laser-induced recollision of particle-like electron motion, which lay the foundation of attosecond spectroscopy. In recent years, HHG has also been observed in solids. One can expect the extension of attosecond spectroscopy to the condensed matter if a description capable of resolving the ultrafast dynamics is provided. Thus, a large number of theoretical studies have been proposed to understand the underlying physics of solid HHG. Here, we revisit the recollision picture in solid HHG and show some challenges of current particle-perspective methods, and present the recently developed wave-perspective Huygens-Fresnel picture for understanding dynamical systems within the ambit of strong-field physics.

气相原子(或分子)的高次谐波产生(HHG)为超快光学开辟了一个新的前沿,可以获得阿秒时间分辨率和埃空间分辨率。HHG的基本物理图像通常用激光诱导的类粒子电子运动的再碰撞来解释,这为阿秒光谱奠定了基础。近年来,在固体中也观察到了HHG。如果提供了一种能够解析超快动力学的描述,人们可以预期阿秒光谱将扩展到凝聚态。因此,已经提出了大量的理论研究来理解固体HHG的潜在物理。在这里,我们回顾了固体HHG中的再碰撞图像,展示了当前粒子透视方法的一些挑战,并介绍了最近开发的波透视惠更斯-菲涅耳图像,用于理解强场物理学范围内的动力学系统。
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引用次数: 1
Speed limits and locality in many-body quantum dynamics. 多体量子动力学中的速度极限和局域性。
Pub Date : 2023-09-29 DOI: 10.1088/1361-6633/acfaae
Chi-Fang Anthony Chen, Andrew Lucas, Chao Yin

We review the mathematical speed limits on quantum information processing in many-body systems. After the proof of the Lieb-Robinson Theorem in 1972, the past two decades have seen substantial developments in its application to other questions, such as the simulatability of quantum systems on classical or quantum computers, the generation of entanglement, and even the properties of ground states of gapped systems. Moreover, Lieb-Robinson bounds have been extended in non-trivial ways, to demonstrate speed limits in systems with power-law interactions or interacting bosons, and even to prove notions of locality that arise in cartoon models for quantum gravity with all-to-all interactions. We overview the progress which has occurred, highlight the most promising results and techniques, and discuss some central outstanding questions which remain open. To help bring newcomers to the field up to speed, we provide self-contained proofs of the field's most essential results.

我们回顾了多体系统中量子信息处理的数学速度限制。在1972年证明Lieb-Robinson定理之后,在过去的二十年里,它在其他问题上的应用取得了实质性的发展,例如量子系统在经典或量子计算机上的可模拟性、纠缠的产生,甚至是带隙系统的基态性质。此外,Lieb-Robinson界已经以非平凡的方式进行了扩展,以证明具有幂律相互作用或相互作用玻色子的系统的速度极限,甚至证明了在具有全对全相互作用的量子引力卡通模型中出现的局域性概念。我们概述了已经取得的进展,强调了最有希望的结果和技术,并讨论了一些悬而未决的核心问题。为了帮助新来者跟上这一领域的步伐,我们为该领域最重要的结果提供了独立的证明。
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引用次数: 16
期刊
Reports on progress in physics. Physical Society (Great Britain)
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