This corrects the article DOI: 10.1103/PhysRevLett.88.042002.

Yield-stress fluids only flow above a critical stress. Here, we observe the emergence of a distinct, elasticity-driven flow state in a yield-stress fluid in the absence of inertia. Numerical simulations show that this elastoplastic turbulent state is characterized by non-Gaussian bimodal velocity distribution and a broad spectrum of velocity and stress fluctuations. Results show a nonmonotonic relationship between the volume fraction of the unyielded flow and plasticity. Surprisingly, the system can fluidize near the emergence of the elastoplastic turbulent state. Our results reveal the complex interplay between elasticity and plasticity in simple shear flows, indicating that plasticity can mobilize the flow rather than arrest it. These findings are relevant for the flow and stability of muds, clays, and soft materials in general.

Liquid interfaces appear throughout nature and engineering and are typically contaminated by surface active agents (surfactants), which are characterized by a wide range of solubility. We demonstrate that solubility enhances by an order of magnitude surfactant-induced flow in air-liquid-air films, in contrast to previously studied geometries where solubility dampens the flow. The enhancement is described by a single parameter comparing the depletion length to the film thickness. Our experiments are well described by an asymptotic theory of the Navier-Stokes equations, including surfactant kinetics.

We explore synchronization transitions in a generalized Kuramoto model with n-dimensional vector oscillators on complete graphs (CG) and on d-dimensional lattices. On the CG, we analytically derive universal critical exponents (β,ν[over ¯])=(1/2,5/2) for all even n. Through the Botet-Jullien-Pfeuty relation, the CG exponent ν[over ¯]=5/2 predicts an upper critical dimension d_{u}=5 for the corresponding lattice models. For locally coupled systems with d<d_{u}, we identify frequency entrainment for arbitrary n using a newly developed entrainment connectivity matrix, and characterize the transitions with two complementary order parameters. Using spin-wave theory together with numerical simulations, we obtain critical exponents across the (n,d) parameter space. These results suggest a family of n-independent but d-dependent universality classes, offering a unified perspective on how symmetry and dimensionality shape synchronization phenomena.

Despite the rapid development of quantum science and technology, errors are inevitable and play a crucial role in quantum simulation and quantum computation. In quantum chaotic systems, coherent errors arising from imperfect Hamiltonian control and incoherent errors induced by coupling to the environment are both exponentially amplified during time evolution due to information scrambling. A fundamental question is how these two classes of errors imprint distinct signatures on the emergent irreversibility of many-body dynamics. In this Letter, we address this question by investigating multiround time-reversed dynamics in the presence of both coherent and incoherent errors. By applying scramblon theory, we obtain closed-form expressions for the Loschmidt echo over different rounds of time-reversed evolution. For incoherent errors, the error accumulates linearly with the number of rounds, whereas coherent errors exhibit a crossover from quadratic to linear accumulation. These predictions are explicitly verified using the solvable Sachdev-Ye-Kitaev model. Our results provide a theoretical foundation for characterizing and calibrating coherent and incoherent errors in reversed dynamics, with particular relevance to nuclear magnetic resonance systems.

Magic states are a scarce resource for two-dimensional qubit stabilizer codes. Magic state cultivation was recently proposed to reduce the cost of magic state preparation by measuring the transversal Clifford operator of the color code. Cultivation achieves ∼10^{-9} logical error rates for the d=5 color code, with substantially lower space-time overhead than magic state distillation. However, due to the O(d) depth of the Clifford measurement circuit, magic state cultivation becomes impractical for d>5. Here, we perform logical XS^{†} measurements on the color code by gauging a transversal Clifford gate, resulting in a constant-depth logical measurement circuit. We employ repeated gauging measurements with postselection rather than performing error correction on the Clifford stabilizer code that emerges during the gauging protocol, thus gaining simplicity at the cost of scalability. Our protocol requires a regular square grid connectivity and yields logical error rates comparable to magic state cultivation. The d=7 version of our protocol gives access to the 10^{-12} logical error rate regime at 0.05% physical error rate while retaining more than 1% of the shots after the equivalent of the cultivation stage.

Graphene-based moiré superlattices exhibit novel quantum phenomena driven by pronounced interactions, leading to topological correlated states like orbital Chern insulators exhibiting quantum anomalous Hall effects. Typically, intrinsic Chern insulators are stabilized at odd moiré fillings, as even fillings often result in valley-balanced, topologically trivial states at zero magnetic field. In this Letter, we report the observation of a Chern insulator with C=1 state at moiré filling ν=2 in the rhombohedral octalayer graphene/hexagonal boron nitride moiré superlattice. In the vicinity of this topological phase, we also observe a robust topologically trivial correlated insulator at the same filling, highlighting the intense competition between different ground states. Observing such a Chern insulator, in particular with C=1 at ν=2 is intriguing, as the lowest moiré band in each flavor is expected to host Chern number C=1 or -1. We further demonstrate that such a state could originate from the hybridization between the low-energy moiré flat bands and high-energy remote bands in a single flavor by self-consistent Hartree-Fock calculation. Our findings extend the known topological phase diagram of rhombohedral multilayer graphene moiré systems and establish this platform as highly promising for investigating strong electron correlations and multiband hybridized transport at fillings higher than ν=1.

Andreev reflection converts an incoming fermion into an outgoing hole and is usually tied to a superconducting interface. We show that an analogous charge-conjugating boundary condition emerges from a purely lattice duality defect. Starting from a Majorana representation of the transverse-field Ising chain, we construct a folded lattice model in which a boundary Majorana impurity implements a one-site translation of a staggered Majorana chain. In the continuum, this translation becomes a chiral fermion-parity defect: it flips the sign of the only left-moving Majorana mode while leaving the right-moving mode unchanged. When the two Majorana modes are recombined into a complex fermion in the folded geometry, this sign flip becomes the Andreev-like boundary condition. Our lattice formulation gives a microscopic interpretation of the Emery-Kivelson boundary of the two-channel Kondo problem and of Maldacena-Ludwig monopole scattering, while identifying the boundary as the interface between a Kitaev-chain symmetry-protected topological phase and a gapless chain. The same Majorana translation defect also provides a lattice realization of an axial U(1)_{A}-symmetric charge-flip boundary.

The spin Hall and orbital Hall effects are fundamental mechanisms for generating transverse spin and orbital currents. However, their intrinsic entanglement via spin-orbit coupling (SOC) has made the generation of pure spin or orbital Hall current a long-standing challenge. Here, we demonstrate a strategy not only to generate but also to reversibly switch between spin and orbital Hall currents within a single material. Combining first-principles calculations with tight-binding modeling, we show that spin-orbital-valley locking, together with external-field-controlled topological band inversion, enables a reversible crossover of Hall transport between spin- and orbital-dominated regimes, even yielding a dominant spin Hall response in weak-SOC systems. Our Letter provides a direct route toward disentangling mixed spin-orbital transport and establishes a versatile platform for the independent control and probing of spin and orbital degrees of freedom.

The unique properties of two-dimensional moiré systems have been widely studied from many perspectives. However, relatively little work has investigated how the real-space structure of moiré systems can directly engender novel properties and functionalities. In this Letter, we explore how intriguing cooperative optical effects can emerge from the real-space superlattice formed by moiré excitons. Particularly, we show that the collective moiré exciton states can have either strongly enhanced (superradiant) or suppressed (subradiant) radiative decay rates, depending on their in-plane wave vector. These super- and subradiant states can be efficiently switched by a gate-induced electric field gradient. Moreover, the cooperative transmittance T of the atomically thin moiré system can be switched from T≈0 (opaque) to T≈1 (transparent) with ≲1% heterostrain or a 1° adjustment in the twist angle θ. These features are robust against nonradiative losses and disorders, making the moiré system a highly versatile platform for cooperative quantum optics with potential applications in, e.g., single photon storage and switching.

Many biological, culinary, and engineering processes lead to the coencapsulation of several soft particles within a liquid interface. In these situations the particles are bound together by the capillary forces that deform them and influence their biological or rheological properties. Here, we introduce an experimental approach to encapsulate a controlled number of soft beads within aqueous droplets in oil. These droplet-encapsulated gels are manipulated in a deformable microfluidic device to merge them and modify the liquid fraction. In the dry limit the contact surface between the hydrogels is found to be determined by the elastocapillary number E_{c}, with the contact radius following a E_{c}^{1/3} dependence, indicating that the deformation increases for soft or small particles. When multiple beads are coencapsulated within a single droplet they can be arranged into linear or three-dimensional aggregates that remain at a local energy minimum.

Interactions derived from effective field theories of quantum chromodynamics have thus far failed to bind calcium nuclei beyond neutron number N=40, while nuclear density functionals typically place the neutron drip line near ^{70}Ca, at N=50. We present the chiral interaction N^{3}LO_{Texas}, a combination of two- and three-nucleon potentials at fourth and third chiral order, respectively, with low-energy constants optimized using emulator-accelerated fits to few- and many-body data. This interaction accurately reproduces binding energies and charge radii of key nuclei with mass number A=3 to 208, important excited states, and nuclear matter near saturation. Using ab initio methods, coupled cluster and valence-space in-medium similarity renormalization group, we find that the calcium two-neutron drip line extends to ^{71}Ca.

Spinning is widely used in nature and industry to form thin solid fibers from a liquid. While the fiber radius is readily determined when draw speed is controlled, many situations involve a draw force, making fiber radius difficult to predict. Here, we take advantage of a gravity-stretched jet configuration with tunable light-induced solidification, to elucidate spinning dynamics for a sharply localized liquid-to-solid transition. We show and explain how light intensity and solidification kinetics control the solidification locus, which opens routes for characterizing fast solidification kinetics. We also determine how the fiber radius, the transient regime following light switch-on and jet stability are set by gravity, inertia, and capillarity. These results offer predictive control on the spun solid (fiber versus beads), including for intermittent solidification.

Real-space singularities govern a broad spectrum of wave phenomena, yet they remain largely unexplored in elastic wave systems. Here, we report hybrid topological singularities that emerge on the surfaces of finite-sized solids due to the full vectorial character of elastic waves. These textures fuse spin-field singularities with displacement-field singularities and exhibit unique nonpairwise topological charge dynamics. Moreover, a subset of these singularities imprint dislocation lines onto the radiated acoustic field, generating robust acoustic vortices in free space from an otherwise achiral source and structure. Our results establish elastic waves as a powerful platform for engineering real-space singularities and open avenues for singular phononics and the exploration of rich topological defects in elastic media.

We introduce an SU(N) symmetric two-dimensional quantum spin model, the X-Q model, which hosts a ground state transition between Néel antiferromagnetic and spontaneously dimerized states. The Q terms are products of two adjacent singlet projectors on nearest-neighbor sites, as in the often studied J-Q model (where J is the Heisenberg exchange), while the X terms are products of two permutation operators on second-neighbor sites. Quantum Monte Carlo simulations reveal close proximity to a deconfined quantum critical point for N=2, as in the J-Q model. However, for N>2 the transition becomes strongly first order, contrary to conventional expectations that increasing N should weaken discontinuities. We attribute this behavior to the inability of the X term to induce U(1) fluctuations of the dimer pattern, while those from the Q term are suppressed by 1/N. These results provide insights into the interactions that support deconfined criticality.