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Calorimetry of Photon Gases in Nonlinear Multimode Optical Fibers 非线性多模光纤中的光子气体量热计
IF 12.5 1区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2024-04-29 DOI: 10.1103/physrevx.14.021020
M. Ferraro, F. Mangini, F. O. Wu, M. Zitelli, D. N. Christodoulides, S. Wabnitz
Recent studies have shown that light propagating in a nonlinear, highly multimode system can thermalize in a manner totally analogous to that encountered in traditional statistical mechanics. At thermal equilibrium, the system’s entropy is at a maximum, in full accord with the second law of thermodynamics. In such arrangements, the entropy is extremized once the statistical power allocation among modes associated with this photon gas attains a Rayleigh-Jeans distribution that is fully characterized by an optical temperature T and a chemical potential μ. However, it has been theoretically argued that the variables T and μ represent actual thermodynamic forces that control the exchange of the respective conjugate quantities between two subsystems. In this work, we report, for the first time, optical calorimetric measurements in nonlinear multimode fibers, which unambiguously demonstrate that both the temperature T and the chemical potential μ dictate the flow of their associated extensive quantities, i.e., the energy and the optical power. Specifically, we study the process of light thermalization associated with two orthogonally polarized laser beams. Our observations are enabled by recently developed techniques that allow one to judiciously multiplex/demultiplex the optical power within various mode groups. Our results indicate that because of photon-photon collisions, “heat” only flows from a hot to a cold photon gas subsystem—thus providing an unequivocal demonstration of the second law in such all-optical thermodynamic arrangements. In addition to being fundamental, our findings provide a new approach to manipulate laser beams using thermodynamic principles.
最近的研究表明,在非线性、高度多模系统中传播的光可以以完全类似于传统统计力学中遇到的方式热化。在热平衡状态下,系统的熵处于最大值,完全符合热力学第二定律。在这种情况下,一旦与这种光子气体相关的模式之间的统计功率分配达到雷利-让斯分布,熵就会达到极值,该分布完全由光学温度 T 和化学势 μ 来表征。然而,理论上有人认为,变量 T 和 μ 代表控制两个子系统之间各自共轭量交换的实际热动力。在这项工作中,我们首次报告了在非线性多模光纤中进行的光学量热测量,明确地证明了温度 T 和化学势 μ 都决定了其相关广泛量(即能量和光功率)的流动。具体来说,我们研究了与两束正交偏振激光束相关的光热化过程。我们的观测工作得益于最新开发的技术,这些技术允许我们在各种模式组内对光功率进行明智的多路复用/解复用。我们的研究结果表明,由于光子-光子碰撞,"热量 "只会从热光子气体子系统流向冷光子气体子系统--因此在这种全光热力学安排中,第二定律得到了明确的证明。除了基本原理之外,我们的发现还提供了一种利用热力学原理操纵激光束的新方法。
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引用次数: 0
Disorder-Induced Transition from Transient Quantum Delocalization to Charge Carrier Hopping Conduction in a Nonfullerene Acceptor Material 非富勒烯受体材料中从瞬态量子脱ocalization到电荷载流子跳变传导的无序诱导转变
IF 12.5 1区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2024-04-29 DOI: 10.1103/physrevx.14.021021
Ljiljana Stojanović, Jack Coker, Samuele Giannini, Giacomo Londi, Anders S. Gertsen, Jens Wenzel Andreasen, Jun Yan, Gabriele D’Avino, David Beljonne, Jenny Nelson, Jochen Blumberger
Nonfullerene acceptors have caused a step change in organic optoelectronics research but little is known about the mechanism and factors limiting charge transport in these molecular materials. Here a joint computational-experimental investigation is presented to understand the impact of various sources of disorder on the electron transport in the nonfullerene acceptor O-IDTBR. We find that in single crystals of this material, electron transport occurs in the transient quantum delocalization regime with the excess charge delocalized over about three molecules on average, according to quantum-classical nonadiabatic molecular-dynamics simulations. In this regime, carrier delocalization and charge mobility (μa=7cm2V1s1) are limited by dynamical disorder of off-diagonal and diagonal electron-phonon coupling. In molecular assemblies representing disordered thin films, the additional static disorder of off-diagonal electron-phonon coupling is sufficient to fully localize the excess electron on single molecules, concomitant with a transition of transport mechanism from transient quantum delocalization to small polaron hopping and a drop in electron mobility by about 1 order of magnitude. Yet, inclusion of static diagonal disorder resulting from electrostatic interactions arising from the acceptor-donor-acceptor (A-D-A) structure of O-IDTBR, are found to have the most dramatic impact on carrier mobility, resulting in a further drop of electron mobility by about 4–5 orders of magnitude to 105cm2V1s1, in good agreement with thin-film electron mobility estimated from space-charge-limited-current measurements. Limitations due to diagonal disorder caused by electrostatic interactions are likely to apply to most nonfullerene acceptors. They imply that while A-D-A or A-DAD-A motifs are beneficial for photoabsorption and exciton transport, the electrostatic disorder they create can limit carrier transport in thin-film optoelectronic applications. This work shows the value of computational methods, in particular, nonadiabatic molecular-dynamics propagation of charge carriers, to distinguish different regimes of transport for different ty
非富勒烯受体为有机光电子学研究带来了新的变化,但人们对限制这些分子材料电荷传输的机制和因素知之甚少。本文介绍了一项计算与实验联合研究,旨在了解各种无序源对非富勒烯受体 O-IDTBR 中电子传输的影响。我们发现,根据量子经典非绝热分子动力学模拟,在这种材料的单晶体中,电子传输发生在瞬态量子外迁体系中,过剩电荷平均外迁到大约三个分子上。在这一体系中,载流子外迁和电荷迁移率(μa=7 cm2 V-1 s-1)受到非对角和对角电子-声子耦合动态无序的限制。在代表无序薄膜的分子集合体中,非对角线电子-声子耦合的额外静态无序足以将多余的电子完全定位在单个分子上,同时传输机制从瞬时量子脱ocalization转变为小极子跳跃,电子迁移率下降约1个数量级。然而,O-IDTBR 的受体-受体-受体(A-D-A)结构所产生的静电相互作用导致的静态对角无序对载流子迁移率的影响最为显著,使电子迁移率进一步下降了约 4-5 个数量级,降至 10-5 cm2 V-1 s-1,这与空间电荷限制电流测量所估算的薄膜电子迁移率十分吻合。静电相互作用造成的对角线无序限制可能适用于大多数非富勒烯受体。这意味着,虽然 A-D-A 或 A-DAD-A 图案有利于光吸收和激子传输,但它们产生的静电紊乱会限制薄膜光电应用中的载流子传输。这项工作显示了计算方法的价值,尤其是电荷载流子的非绝热分子动力学传播,它可以区分不同类型分子填料的不同传输机制。
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引用次数: 0
Autoparametric Resonance Extending the Bit-Flip Time of a Cat Qubit up to 0.3 s 自参数共振将 Cat Qubit 的比特翻转时间延长至 0.3 秒
IF 12.5 1区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2024-04-26 DOI: 10.1103/physrevx.14.021019
A. Marquet, A. Essig, J. Cohen, N. Cottet, A. Murani, E. Albertinale, S. Dupouy, A. Bienfait, T. Peronnin, S. Jezouin, R. Lescanne, B. Huard
Cat qubits, for which logical |0 and |1 are coherent states |±α of a harmonic mode, offer a promising route towards quantum error correction. Using dissipation to our advantage so that photon pairs of the harmonic mode are exchanged with single photons of its environment, it is possible to stabilize the logical states and exponentially increase the bit-flip time of the cat qubit with the photon number |α|2. A large two-photon dissipation rate κ2 ensures fast qubit manipulation and short error-correction cycles, which are instrumental to correct the remaining phase-flip errors in a repetition code of cat qubits. Here, we introduce and operate an autoparametric superconducting circuit that couples a mode containing the cat qubit to a lossy mode whose frequency is set at twice that of the cat mode. This passive coupling does not require a parametric pump, and it reaches a rate κ2/2π2MHz. With such a strong two-photon dissipation, bit-flip errors of the autoparametric cat qubit are prevented for a characteristic time up to 0.3 s with only a mild impact on phase-flip errors. In addition, we illustrate how the phase of a quantum superposition between |α and |α can be arbitrarily changed by driving the harmonic mode while keeping the engineered dissipation active.
猫量子比特的逻辑|0⟩和|1⟩是谐波模式的相干态|±α⟩,它为量子纠错提供了一条前景广阔的途径。利用耗散的优势,使谐波模式的光子对与其环境中的单光子进行交换,就有可能稳定逻辑状态,并以光子数|α|2的指数级增长猫量子比特的位翻转时间。较大的双光子耗散率κ2 可确保快速的量子比特操作和较短的纠错周期,这对于纠正猫量子比特重复代码中剩余的相位翻转错误非常重要。在这里,我们引入并运行了一种自参数超导电路,它能将包含猫量子比特的模式与有损模式耦合,而有损模式的频率设定为猫模式的两倍。这种无源耦合不需要参量泵,其速率可达κ2/2π≈2 MHz。有了如此强大的双光子耗散,自参数猫量子比特的比特翻转误差就能在高达 0.3 秒的特性时间内得到防止,而对相位翻转误差只有轻微影响。此外,我们还说明了如何在保持工程耗散激活的同时,通过驱动谐波模式任意改变|α⟩和|-α⟩之间的量子叠加相位。
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引用次数: 0
Realization of a Programmable Multipurpose Photonic Quantum Memory with Over-Thousand Qubit Manipulations 实现可编程的多用途光子量子存储器,可进行数千次以上的质子操作
IF 12.5 1区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2024-04-25 DOI: 10.1103/physrevx.14.021018
Sheng Zhang, Jixuan Shi, Zhaibin Cui, Ye Wang, Yukai Wu, Luming Duan, Yunfei Pu
Quantum networks can enable various applications such as distributed quantum computing, long-distance quantum communication, and network-based quantum sensing with unprecedented performances. One of the most important building blocks for a quantum network is a photonic quantum memory which serves as the interface between the communication channel and the local functional unit. A programmable quantum memory which can process a large stream of flying qubits and fulfill the requirements of multiple core functions in a quantum network is still to be realized. Here we report a high-performance quantum memory which can simultaneously store 72 optical qubits carried by 144 spatially separated atomic ensembles and support up to a thousand consecutive write or read operations in a random access way, 2 orders of magnitude larger than the previous record. Because of the built-in programmability, this quantum memory can be adapted on demand for several functions. As example applications, we realize quantum queue, stack, and buffer which closely resemble the counterpart devices for classical information processing. We further demonstrate the storage and reshuffle of four entangled pairs of photonic pulses with probabilistic arrival time and arbitrary release order via the memory, which is an essential requirement for the realization of quantum repeaters and efficient routing in quantum networks. Realization of this multipurpose programmable quantum memory thus constitutes a key enabling building block for future large-scale fully functional quantum networks.
量子网络可以实现各种应用,如分布式量子计算、远距离量子通信和基于网络的量子传感,并具有前所未有的性能。光子量子存储器是量子网络最重要的构件之一,它是通信通道和本地功能单元之间的接口。一种可编程量子存储器可以处理大量的飞行量子比特流,并满足量子网络中多个核心功能的要求,但这种存储器仍有待实现。在这里,我们报告了一种高性能量子存储器,它可以同时存储由 144 个空间上分离的原子团携带的 72 个光量子比特,并以随机存取的方式支持多达一千次的连续写入或读取操作,比之前的记录大两个数量级。由于具有内置的可编程性,这种量子存储器可以根据需要满足多种功能的要求。作为应用实例,我们实现了量子队列、堆栈和缓冲器,它们与经典信息处理的对应设备非常相似。我们进一步演示了通过存储器存储和重新洗牌四对纠缠的光子脉冲,这些脉冲具有概率到达时间和任意释放顺序,这是实现量子中继器和量子网络高效路由的基本要求。因此,这种多用途可编程量子存储器的实现构成了未来大规模全功能量子网络的关键构件。
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引用次数: 0
Unified Treatment of Light Emission by Inelastic Tunneling: Interaction of Electrons and Photons beyond the Gap 非弹性隧道光发射的统一处理:电子和光子在间隙外的相互作用
IF 12.5 1区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2024-04-24 DOI: 10.1103/physrevx.14.021017
Unai Muniain, Ruben Esteban, Javier Aizpurua, Jean-Jacques Greffet
A direct current through a metal-insulator-metal tunneling junction emits light when surface-plasmon polaritons (SPPs) are excited. Two distinct processes are believed to coexist in this light emission mediated by surface plasmons: inelastic tunneling, where electrons excite SPPs in the insulator gap, and hot-electron radiative decay, which occurs in the electrodes after elastic tunneling. Previous theoretical approaches to study light emission by inelastic tunneling have relied on Bardeen’s approximation where the electronic wave functions are considered only in the barrier of the junction. In this work, we introduce an extension to models of inelastic tunneling by incorporating the full quantum device solution of the Schrödinger equation, which can also account for processes in the metallic electrodes. The extension unveils the existence of long-range correlations of the current density across the barrier and enables us to establish the equivalence between two models widely used in the past: (i) a calculation of the inelastic transition rate between two states across the barrier based on Fermi’s golden rule and (ii) a calculation of the power transferred to plasmons by current fluctuations. Importantly, the new model accounts for processes that take place in the metallic electrodes and that could not be described within Bardeen’s approximation. Hence, it is no longer necessary to invoke a hot-electron mechanism to obtain a dependence on the geometry of metallic electrodes. The new framework enables to discuss the role of surface plasmons localized in different metal-insulator interfaces and to include possible nonlocal effects at the interfaces.
当表面等离子体极化子(SPPs)被激发时,通过金属-绝缘体-金属隧道结的直流电会发光。在这种由表面等离子体介导的光发射中,有两个不同的过程并存:非弹性隧穿(电子在绝缘体间隙中激发 SPPs)和热电子辐射衰变(弹性隧穿后在电极中发生)。以往研究非弹性隧穿光发射的理论方法依赖于巴丁近似,即只考虑结的势垒中的电子波函数。在这项工作中,我们引入了非弹性隧穿模型的扩展,将薛定谔方程的全量子器件解纳入其中,这也可以解释金属电极中的过程。这一扩展揭示了跨势垒电流密度长程相关性的存在,并使我们能够建立过去广泛使用的两种模型之间的等效性:(i) 基于费米黄金法则计算跨势垒两种状态之间的非弹性转换率;(ii) 计算电流波动传递给质子的功率。重要的是,新模型考虑了在金属电极中发生的过程,而这些过程在巴丁近似中无法描述。因此,不再需要通过热电子机制来获得对金属电极几何形状的依赖。新框架有助于讨论不同金属-绝缘体界面中局部表面质子的作用,并将界面上可能存在的非局部效应包括在内。
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引用次数: 0
Quantum Jamming Brings Quantum Mechanics to Macroscopic Scales 量子干扰将量子力学带入宏观尺度
IF 12.5 1区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2024-04-23 DOI: 10.1103/physrevx.14.021015
Maurizio Fagotti
A quantum spin-12 chain with an axial symmetry is normally described by quasiparticles associated with the spins oriented along the axis of rotation. Kinetic constraints can enrich such a description by setting apart different species of quasiparticles, which can get stuck at high enough density, realizing the quantum analog of jamming. We identify a family of interactions satisfying simple kinetic constraints and consider generic translationally invariant models built up from them. We study dynamics following a local unjamming perturbation in a jammed state. We show that they can be mapped into dynamics of ordinary unconstrained systems, but the nonlocality of the mapping changes the scales at which the phenomena manifest themselves. Scattering of quasiparticles, formation of bound states, and eigenstate localization become all visible at macroscopic scales. Depending on whether a symmetry is present or not, the microscopic details of the jammed state turn out to have either a marginal or a strong effect. In the former case or when the initial state is almost homogeneous, we show that even a product state is turned into a macroscopic quantum state.
具有轴对称性的量子自旋-12 链通常由与沿旋转轴方向的自旋相关的准粒子来描述。动力学约束可以通过区分不同种类的准粒子来丰富这种描述,这些准粒子在足够高的密度下会被卡住,实现量子类似的干扰。我们确定了一系列满足简单动力学约束的相互作用,并考虑了由它们建立的一般平移不变模型。我们研究了干扰状态下局部解干扰扰动后的动力学。我们证明,它们可以映射到普通无约束系统的动力学中,但映射的非局部性改变了现象表现的尺度。准粒子的散射、束缚态的形成和特征态的局部化在宏观尺度上都是可见的。根据对称性的存在与否,干扰态的微观细节会产生微弱或强烈的影响。在前一种情况下,或者当初始状态几乎是均匀的时候,我们证明即使是积状态也会变成宏观量子态。
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引用次数: 0
Kapitza Stabilization of Quantum Critical Order 量子临界阶的 Kapitza 稳定性
IF 12.5 1区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2024-04-23 DOI: 10.1103/physrevx.14.021016
Dushko Kuzmanovski, Jonathan Schmidt, Nicola A. Spaldin, Henrik M. Rønnow, Gabriel Aeppli, Alexander V. Balatsky
Dynamical perturbations modify the states of classical systems in surprising ways and give rise to important applications in science and technology. For example, Floquet engineering exploits the possibility of band formation in the frequency domain when a strong, periodic variation is imposed on parameters such as spring constants. We describe here Kapitza engineering, where a drive field oscillating at a frequency much higher than the characteristic frequencies for the linear response of a system changes the potential energy surface so much that maxima found at equilibrium become local minima, in precise analogy to the celebrated Kapitza pendulum where the unstable inverted configuration, with the mass above rather than below the fulcrum, actually becomes stable. Our starting point is a quantum field theory of the Ginzburg-Devonshire type, suitable for many condensed matter systems, including particularly ferroelectrics and quantum paralectrics. We show that an off-resonance oscillatory electric field generated by a laser-driven terahertz source can induce ferroelectric order in the quantum-critical limit. Heating effects are estimated to be manageable using pulsed radiation; “hidden” radiation-induced order can persist to low temperatures without further pumping due to stabilization by strain. We estimate the Ginzburg-Devonshire free-energy coefficients in SrTiO3 using density-functional theory and the stochastic self-consistent harmonic approximation accelerated by a machine-learned force field. Although we find that SrTiO3 is not an optimal choice for Kapitza stabilization, we show that scanning for further candidate materials can be performed at the computationally convenient density-functional theory level. We suggest second harmonic generation, soft-mode spectroscopy, and x-ray diffraction experiments to characterize the induced order.
动态扰动以惊人的方式改变着经典系统的状态,并在科学和技术领域产生了重要的应用。例如,当对弹簧常数等参数施加强烈的周期性变化时,Floquet 工程学就利用了频域中频带形成的可能性。我们在这里描述的卡皮查工程学,是指以远高于系统线性响应特征频率的频率振荡的驱动场极大地改变了势能面,以至于平衡时的最大值变成了局部最小值,这与著名的卡皮查摆精确类比,在卡皮查摆中,质量在支点上方而非下方的不稳定倒置配置实际上变得稳定。我们的出发点是金兹伯格-德文郡类型的量子场论,它适用于许多凝聚态系统,尤其包括铁电和量子对偶。我们证明,由激光驱动的太赫兹源产生的非共振振荡电场可以在量子临界极限中诱导铁电有序。据估计,使用脉冲辐射可以控制加热效应;由于应变的稳定作用,"隐藏的 "辐射诱导有序可以持续到低温,而无需进一步抽运。我们使用密度函数理论和机器学习力场加速的随机自洽谐波近似来估算 SrTiO3 中的金兹堡-德文郡自由能系数。尽管我们发现 SrTiO3 并不是卡皮查稳定化的最佳选择,但我们表明,可以在计算方便的密度泛函理论水平上扫描更多候选材料。我们建议用二次谐波发生、软模光谱和 X 射线衍射实验来表征诱导阶。
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引用次数: 0
Nonreciprocal Pattern Formation of Conserved Fields 守恒场的非互惠模式形成
IF 12.5 1区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2024-04-19 DOI: 10.1103/physrevx.14.021014
Fridtjof Brauns, M. Cristina Marchetti
In recent years, nonreciprocally coupled systems have received growing attention. Previous work has shown that the interplay of nonreciprocal coupling and Goldstone modes can drive the emergence of temporal order such as traveling waves. We show that these phenomena are generically found in a broad class of pattern-forming systems, including mass-conserving reaction-diffusion systems and viscoelastic active gels. All these systems share a characteristic dispersion relation that acquires a nonzero imaginary part at the edge of the band of unstable modes and exhibit a regime of propagating structures (traveling wave bands or droplets). We show that models for these systems can be mapped to a common “normal form” that can be seen as a spatially extended generalization of the FitzHugh-Nagumo model, providing a unifying dynamical-systems perspective. We show that the minimal nonreciprocal Cahn-Hilliard equations exhibit a surprisingly rich set of behaviors, including interrupted coarsening of traveling waves without selection of a preferred wavelength and transversal undulations of wave fronts in two dimensions. We show that the emergence of traveling waves and their speed are precisely predicted from the local dispersion relation at interfaces far away from the homogeneous steady state. Our work, thus, generalizes previously studied nonreciprocal phase transitions and shows that interfaces are the relevant collective excitations governing the rich dynamical patterns of conserved fields.
近年来,非互惠耦合系统受到越来越多的关注。以往的研究表明,非互惠耦合和金石模式的相互作用可以推动行波等时序的出现。我们的研究表明,这些现象普遍存在于一大类模式形成系统中,包括质量守恒反应-扩散系统和粘弹性活性凝胶。所有这些系统都有一个共同的特征色散关系,即在不稳定模式带的边缘获得一个非零的虚部,并表现出一种传播结构(行波带或液滴)。我们的研究表明,这些系统的模型可以映射到一个共同的 "正则表达式",该正则表达式可以看作是 FitzHugh-Nagumo 模型在空间上的扩展概括,提供了一个统一的动力学系统视角。我们的研究表明,最小非互惠卡恩-希利亚德方程表现出令人惊讶的丰富行为,包括行波的间断粗化而不选择首选波长,以及波锋在二维中的横向起伏。我们的研究表明,在远离均质稳态的界面上,行波的出现及其速度可以通过局部弥散关系精确预测。因此,我们的研究概括了之前研究的非互易相变,并表明界面是支配守恒场丰富动态模式的相关集体激发。
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引用次数: 0
Chiral Pseudospin Liquids in Moiré Heterostructures 莫伊里异质结构中的手性伪自旋液体
IF 12.5 1区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2024-04-19 DOI: 10.1103/physrevx.14.021013
Clemens Kuhlenkamp, Wilhelm Kadow, Ataç Imamoğlu, Michael Knap
We propose multilayer moiré structures in strong external magnetic fields as a novel platform for realizing highly tunable, frustrated Hubbard physics with topological order. Identifying the layer degree of freedom as a pseudospin allows us to retain SU(2) symmetry while controlling ring-exchange processes and concurrently quenching the kinetic energy by large external magnetic fields. This way, a broad class of interacting Hubbard-Hofstadter states and their transitions can be studied. Remarkably, in the limit of strong interactions the system becomes Mott insulating and we find chiral pseudospin-liquid phases which are induced by the magnetic field. We find that this topologically ordered state remains exceptionally stable toward relevant perturbations. We discuss how layer pseudospin can be probed in near-term experiments. As the magnetic flux can be easily tuned in moiré systems, our approach provides a promising route toward the experimental realization and control of topologically ordered phases of matter.
我们提出了在强外力磁场中的多层摩尔纹结构,将其作为实现具有拓扑秩序的高可调谐受挫哈伯德物理的新平台。把层的自由度确定为伪自旋,使我们能够保留 SU(2) 对称性,同时控制环交换过程,并通过大的外部磁场淬灭动能。这样,我们就可以研究一大类相互作用的哈伯德-霍夫斯塔特态及其跃迁。值得注意的是,在强相互作用的极限下,系统变得莫特绝缘,我们发现了由磁场诱导的手性伪空素液相。我们发现,这种拓扑有序态对相关扰动保持异常稳定。我们讨论了如何在近期实验中探测层伪自旋。由于磁通量可以在摩尔系统中轻松调整,我们的方法为拓扑有序物质相的实验实现和控制提供了一条充满希望的途径。
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引用次数: 0
Amoeba Formulation of Non-Bloch Band Theory in Arbitrary Dimensions 任意维度非布洛克带理论的阿米巴公式
IF 12.5 1区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2024-04-16 DOI: 10.1103/physrevx.14.021011
Hong-Yi Wang, Fei Song, Zhong Wang
The non-Hermitian skin effect dramatically reshapes the energy bands of non-Hermitian systems, meaning that the usual Bloch band theory is fundamentally inadequate as their characterization. The non-Bloch band theory, in which the concept of Brillouin zone is generalized, has been widely applied to investigate non-Hermitian systems in one spatial dimension. However, its generalization to higher dimensions has been challenging. Here, we develop a formulation of the non-Hermitian skin effect and non-Bloch band theory in arbitrary spatial dimensions, which is based on a natural geometrical object known as the amoeba. Our theory provides a general framework for studying non-Hermitian bands beyond one dimension. Key quantities of non-Hermitian bands, including the energy spectrum, eigenstates profiles, and the generalized Brillouin zone, can be efficiently obtained from this approach.
非ermitian趋肤效应极大地重塑了非ermitian系统的能带,这意味着通常的布洛赫能带理论根本不足以描述它们。非布洛赫能带理论是对布里渊区概念的概括,已被广泛应用于研究一维空间的非ermitian 系统。然而,将其推广到更高维度一直是个挑战。在这里,我们基于一个名为变形虫的自然几何物体,提出了任意空间维度的非ermitian趋肤效应和非布洛赫带理论。我们的理论为研究一维之外的非ermitian 带提供了一个通用框架。非赫米带的关键量,包括能谱、特征态剖面和广义布里渊区,都可以通过这种方法有效地获得。
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Physical Review X
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