Ring systems have recently been discovered around several small bodies in the outer Solar System through stellar occultations. While such measurements provide key information on ring geometry and dynamical interactions, little is known about their composition, grain size distribution, origin, lifetime, or evolutionary pathways. Here we report near-infrared observations from the James Webb Space Telescope (JWST) of a stellar occultation by the Centaur (10199) Chariklo, providing unprecedented constraints on the material properties of a small-body ring system and offering insights into their origin and evolution. These measurements reveal that Chariklo's inner dense ring contains predominantly micrometer-sized particles and exhibits a significant increase in opacity compared to previous observations, suggesting active replenishment events. Most strikingly, the outer ring shows a much weaker near-infrared occultation signature than in earlier visible-light detections. This discrepancy may indicate ongoing material loss, implying that the outer ring is transient, or it may reflect wavelength-dependent opacity consistent with a dusty structure dominated by $0.2$-$0.5$ $\mu$m silicate grains. These scenarios, not mutually exclusive, point to an unprecedented level of complexity in small-body ring systems, unlike anything observed around other minor bodies in the Solar System.

We examine the influence of a step-like gate voltage on the entanglement formation of two interacting charge qubits, where charge is injected on demand into the qubits. The gate voltage modulates the tunnel coupling between the qubits and two electronic reservoirs (leads), which supply the initial charges to the system. The qubits interact capacitively through Coulomb repulsion, and the interplay between Coulomb interactions and hopping processes leads to the formation of entangled states. Our analysis focuses on how the physical parameters of the gate pulse affect the degree of entanglement. In pursuit of this aim, we calculate fidelity, linear entropy, and negativity within the framework of density matrix formalism. Our analysis demonstrate how to optimize the gate pulse to reach a ``sweet spot'' that maximizes entanglement, even in the presence of additional dephasing sources. These results could contribute to the future experimental realization of entanglement in interacting charge qubits.

A composite impurity in a metal can explore different configurations, where its net magnetic moment may be screened by the host electrons. An example is the two-stage Kondo (TSK) system, where screening occurs at successively smaller energy scales. Alternatively, impurities may prefer a local singlet disconnected from the metal. This competition is influenced by the system's couplings. A double quantum dot T-shape geometry, where a "hanging" dot is connected to current leads only via another dot, allows experimental exploration of these regimes. Differentiating the two regimes has been challenging. This study provides a method to identify the TSK regime in such a geometry. The TSK regime requires a balance between the inter-dot coupling ($t_{01}$) and the coupling of the quantum dot connected to the Fermi sea ($\Gamma_0$). Above a certain ratio, the system transitions to a molecular regime, forming a local singlet with no Kondo screening. The study identifies a region in the $t_{01}$--$\Gamma_0$ parameter space where a pure TSK regime occurs. Here, the second Kondo stage properties can be described by a single impurity Anderson model with effective parameters. By examining the magnetic susceptibility of the hanging quantum dot, a single parameter, $\Gamma_{\rm eff}$, can simulate this susceptibility accurately. This effective model also provides the hanging quantum dot's spectral function accurately within a limited parameter range, defining the true TSK regime. Additionally, spin correlations between the quantum dots show universal behavior in this parameter range. These findings can guide experimental groups in selecting parameter values to place the system in either the TSK regime or the crossover to the molecular regime.

We investigate the robustness of {\it virtual} topological states -- topological phases away from the Fermi energy -- against the electron-electron interaction and band filling. As a case study, we employ a realistic model to investigate the properties of vacancy-driven topological phases in transition metal dichalcogenides (TMDs) and establish a connection between the degree of localization of topological wave functions, the vacancy density, and the electron-electron interaction strength with the topological phase robustness. We demonstrate that electron-electron interactions play a crucial role in degrading topological phases thereby determining the validity of single-particle approximations for topological insulator phases. Our findings can be naturally extended to {\it virtual} topological phases of a wide range of materials.

By stacking PbTe layers there is a non-monotonic topological phase transition as a function of the number of monolayers. Based on first principles calculations we find that the proper stacked crystal symmetry determines the topological nature of the slab. While a single PbTe monolayer has a nontrivial phase, pressure can induce topological phase transition in bulk PbTe. Between these two limits, where finite size effects are inherent, we verified that, by applying an external pressure, odd stacking layers can be tuned easily to a topological phase, while even stacking keeps a larger band gap, avoiding band inversion. The quite distinct behavior for odd/even layer is due to the symmetry of the finite stacking. Odd layers preserve the bulk symmorphic symmetry with strong surface hybridization, while even layers belong to a nonsymmorphic group symmetry. Nonsymmorphism induces extra degeneracy reducing the hybridization, thus protecting band inversion, postponing topological phase transitions.

Dirac-like Hamiltonians, linear in momentum $k$, describe the low-energy physics of a large set of novel materials, including graphene, topological insulators, and Weyl fermions. We show here that the inclusion of a minimal $k^2$ Wilson's mass correction improves the models and allows for systematic derivations of appropriate boundary conditions for the envelope functions on finite systems. Considering only Wilson's masses allowed by symmetry, we show that the $k^2$ corrections are equivalent to Berry-Mondragon's discontinuous boundary conditions. This allows for simple numerical implementations of regularized Dirac models on a lattice, while properly accounting for the desired boundary condition. We apply our results on graphene nanoribbons (zigzag and armchair), and on a PbSe monolayer (topological crystalline insulator). For graphene, we find generalized Brey-Fertig boundary conditions, which correctly describe the small gap seen on \textit{ab initio} data for the metallic armchair nanoribbon. On PbSe, we show how our approach can be used to find spin-orbital-coupled boundary conditions. Overall, our discussions are set on a generic model that can be easily generalized for any Dirac-like Hamiltonian.

This paper presents a small-signal analysis of an islanded microgrid composed of two or more voltage source inverters connected in parallel. The primary control of each inverter is integrated through internal current and voltage loops using PR compensators, a virtual impedance, and an external power controller based on frequency and voltage droops. The frequency restoration function is implemented at the secondary control level, which executes a consensus algorithm that consists of a load-frequency control and a single time delay communication network. The consensus network consists of a time-invariant directed graph and the output power of each inverter is the information shared among the units, which is affected by the time delay. The proposed small-signal model is validated through simulation results and experimental results. A root locus analysis is presented that shows the behavior of the system considering control parameters and time delay variation.

Indirect exchange interaction between magnetic impurities in one dimensional systems is a matter of long discussions since Kittel has established that in the asymptotic limit it decays as the inverse of distance x between the impurities. In this work we investigate this problem in a quantum wire with Rashba spin-orbit coupling (SOC). By employing a second order perturbation theory we find that one additional oscillatory term appears in each of the RKKY, the Dzaloshinkii-Moryia and the Ising couplings. Remarkably, these extra terms resulting from the spin precession of the conduction electrons induced by the SOC do not decay as in the usual RKKY interaction. We show that these extra oscillations arise from the finite momenta band splitting induced by the spin-orbit coupling that modifies the spin-flip scatterings occurring at the Fermi energy. Our findings open up a new perspective in the long-distance magnetic interactions in solid state systems.

We present a semiclassical approach to n-point spectral correlation functions of quantum systems whose classical dynamics is chaotic, for arbitrary n. The basic ingredients are sets of periodic orbits that have nearly the same action and therefore provide constructive interference. We calculate explicitly the first correlation functions, to leading orders in their energy arguments, for both unitary and orthogonal symmetry classes. The results agree with corresponding predictions from random matrix theory, thereby giving solid support to the conjecture of universality.

We investigate the finite-size corrections of the entanglement entropy of critical ladders and propose a conjecture for its scaling behavior. The conjecture is verified for free fermions, Heisenberg and quantum Ising ladders. Our results support that the prefactor of the logarithmic correction of the entanglement entropy of critical ladder models is universal and it is associated with the central charge of the one-dimensional version of the models and with the number of branches associated with gapless excitations. Our results suggest that it is possible to infer whether there is a violation of the entropic area law in two-dimensional critical systems by analyzing the scaling behavior of the entanglement entropy of ladder systems, which are easier to deal.

Synchronization is an important phenomenon in a wide variety of systems comprising interacting oscillatory units, whether natural (like neurons, biochemical reactions, cardiac cells) or artificial (like metronomes, power grids, Josephson junctions). The Kuramoto model provides a simple description of these systems and has been useful in their mathematical exploration. Here we investigate this model combining two common features that have been observed in many systems: external periodic forcing and higher-order interactions among the elements. We show that the combination of these ingredients leads to a very rich bifurcation scenario that produces 11 different asymptotic states of the system, with competition between forced and spontaneous synchronization. We found, in particular, that saddle-node, Hopf and homoclinic manifolds are duplicated in regions of parameter space where the unforced system displays bi-stability.

Higher order interactions can lead to new equilibrium states and bifurcations in systems of coupled oscillators described by the Kuramoto model. However, even in the simplest case of 3-body interactions there are more than one possible functional forms, depending on how exactly the bodies are coupled. Which of these forms is better suited to describe the dynamics of the oscillators depends on the specific system under consideration. Here we show that, for a particular class of interactions, reduced equations for the Kuramoto order parameter can be derived for arbitrarily many bodies. Moreover, the contribution of a given term to the reduced equation does not depend on its order, but on a certain effective order, that we define. We give explicit examples where bi and tri-stability is found and discuss a few exotic cases where synchronization happens via a third order phase transition.

The physical and orbital parameters of Trans-Neptunian Objects (TNOs) provide valuable information about the Solar System's formation and evolution. In particular, the characterization of binaries provides insights into the formation mechanisms that may be playing a role at such large distances from the Sun. Studies show two distinct populations, and (38628) Huya occupies an intermediate position between the unequal-size binaries and those with components of roughly equal sizes. In this work, we predicted and observed three stellar occultation events by Huya. Huya and its satellite - S/2012 (38628) 1 - were detected during occultations in March 2021 and again in June 2023. Additionally, an attempt to detect Huya in February 2023 resulted in an additional single-chord detection of the secondary. A spherical body with a minimum diameter of D = 165 km can explain the three single-chord observations and provide a lower limit for the satellite size. The astrometry of Huya's system, as derived from the occultations and supplemented by observations from the Hubble Space Telescope and Keck Observatory, provided constraints on the satellite orbit and the mass of the system. Therefore, assuming the secondary is in an equatorial orbit around the primary, the limb fitting was constrained by the satellite orbit position angle. The system density, calculated by summing the most precise measurement of Huya's volume to the spherical satellite average volume, is $\rho_{1}$ = 1073 $\pm$ 66 kg m$^{-3}$. The density that the object would have assuming a Maclaurin equilibrium shape with a rotational period of 6.725 $\pm$ 0.01 hours is $\rho_{2}$ = 768 $\pm$ 42 kg m$^{-3}$. This difference rules out the Maclaurin equilibrium assumption for the main body shape.

This article presents an ongoing research aiming to develop an effective methodology for teaching programming, focusing on participation in the Brazilian Informatics Olympiad (OBI), for elementary and high school students. The training conducted with students from the Federal Institute and state schools, demonstrates the importance of programming training programs as a way to promote interest in computing, stimulate the development of computational skills, and increase participation in competitions such as the OBI. The next steps of the research include conducting more training cycles and analyzing the results obtained in the competitions.

Both discrete and continuous systems can be used to encode quantum information. Most quantum computation schemes propose encoding qubits in two-level systems, such as a two-level atom or an electron spin. Others exploit the use of an infinite-dimensional system, such as a harmonic oscillator. In "Encoding a qubit in an oscillator" [Phys. Rev. A 64 012310 (2001)], Gottesman, Kitaev, and Preskill (GKP) combined these approaches when they proposed a fault-tolerant quantum computation scheme in which a qubit is encoded in the continuous position and momentum degrees of freedom of an oscillator. One advantage of this scheme is that it can be performed by use of relatively simple linear optical devices, squeezing, and homodyne detection. However, we lack a practical method to prepare the initial GKP states. Here we propose the generation of an approximate GKP state by using superpositions of optical coherent states (sometimes called "Schr\"odinger cat states"), squeezing, linear optical devices, and homodyne detection.

In the context of Computing, competitive programming is a relevant area that aims to have students, usually in teams, solve programming challenges, developing skills and competencies in the field. However, female participation remains significantly low and notably distant compared to male participation, even with proven intellectual equity between genders. This research aims to present strategies used to improve female participation in Programming Marathons in Brasil. The developed research is documentary, applied, and exploratory, with actions that generate results for female participation, with affirmative and inclusion actions, an important step towards gender equity in competitive programming.

In this study, we conduct a first-principles analysis to explore the structural and electronic properties of curved biphenylene/graphene lateral junctions (BPN/G). We start our investigation focusing on the energetic stability of BPN/G by varying the width of the graphene region, BPN/Gn. The electronic structure of BPN/Gn reveals (i) the formation of metallic channels mostly localized along the BPN stripes, where (ii) the features of the energy bands near the Fermi level are ruled by the width (n) of the graphene regions, Gn. In the sequence, we find that the hydrogenation of BPN/Gn results in a semiconductor system with a catenary-like rippled geometry. The electronic states of the hydrogenated system are mainly confined in the curved Gn regions, and the dependence of the bandgap on the width of Gn is similar to that of hydrogenated armchair graphene nanoribbons. The effects of curvature on the electronic structure, analyzed in terms of external mechanical strain, revealed that the increase/decrease of the band gap is also dictated by the width of the Gn region. Further electronic transport calculations reveal a combination of strong transmission anisotropy and the emergence of negative differential resistance. Based on these findings, we believe that rippled biphenylene/graphene systems can be useful for the design of two-dimensional nanodevices.

Boron monolayers, also known as borophene, have recently attracted interest due to their electronic properties, e.g. the facility to form various allotropes with interesting properties. In this work, we investigate the adsorption process of the tetracyanoquinodimethane (TCNQ) on the borophene $\beta_{12}$ and $\chi_3$ using the density functional theory (DFT). We observed that molecules bond to the borophene layer through the van der Waals interaction, where, at the low coverage limit, the binding strength of TCNQ / borophene is comparable to that of TCNQ / WSe$_2$. By increasing the molecular coverage, $10^{13} \rightarrow 10^{14}$ molecules/cm$^{2}$, we found the (exothermic) formation of self-assembled (SA) structures of TCNQ on borophene, where the molecule-molecule interactions rule the SA process. The structural stability of the SA-TCNQ molecule on borophene was verified via ab initio molecular dynamics simulations. Finally, we show that the formation of the vdW interface leads to the tunability of the hole-doping of the borophene layer by an external electric field. We believe that our results bring an important contribution to the atomic-scale understanding of a powerful electron acceptor molecule, TCNQ, adsorbed on a promising 2D material, borophene.

The Kondo effect arises from many-body interactions between localized magnetic impurities and conduction electrons, affecting electronic properties at low temperatures. In this study, we investigate the Kondo effect within a two-dimensional electron gas subjected to strong spin-orbit coupling in and out of the persistent spin helix regime, a state characterized by a long spin lifetime due to SU(2) symmetry recovery. Using the numerical renormalization group approach, we systematically analyze the influence of spin-orbit coupling strength and the orientation of an external magnetic field on the spectral properties of the impurity. Our findings reveal an entrancing interplay between spin-orbit coupling and the magnetic field, leading to key phenomena such as splitting of the hybridization function, asymmetry in the spectral function of the impurity, and significant tunability of the Kondo temperature due to spin orbit. These results provide valuable insights into the delicate balance between spin-orbit and external magnetic field effects in quantum impurity systems, contributing to a deeper understanding of spintronics and quantum manipulation in low-dimensional materials.

In this work, we investigate the emergence of Weyl points in an inversion symmetry-breaking 1T-NiTe$_2$ system. Through first-principles calculations based on the density functional theory combined with tight-binding methods, we find three distinct sets of Weyl crossings under an appropriate symmetry breaking. The first set, composed of four Weyl points, emerges from the Dirac semimetal. Surprisingly, the other two sets result in additional twenty-four Weyl crossings, depending on the weight of the symmetry breaking. We investigate the topological characteristics of the Weyl semimetals by computing the Weyl chirality, Berry curvature, and the evolution of Wannier charge centers. Additionally, the bulk-boundary correspondence has been shown by computing the Fermi arcs. Our results provide a way for creating and manipulating distinct sets of Weyl points with appropriate external control, which can be valuable for applications in Weyltronics.