AbstractThis work will explore the generations of quantum nonlocalities (as entanglement, Bellnonlocality, and steerability) for two quantum wells (excitons) in dissipative microcavities containing a linear optical medium. An optical fiber links the microcavities. The generated two‐exciton nonlocalities are explored by using Bell inequality, steering inequality, and entanglement of formation. For initial correlated and uncorrelated states, the ability of the excitation–photon–fiber interactions to produce new generation and robustness of the two‐exciton nonlocality is investigated under the effects of the couplings of the exciton–photon and fiber–photon interactions as well as of the dissipations and the optical susceptibility. It is found that increasing the optical susceptibility enhances the regularity and amplitudes, reduces the frequencies of two‐exciton nonlocality dynamics, and supports dissipation degradations. For the initial uncorrelated state, decreasing the difference between the exciton–photon and fiber–photon couplings enhances the generations of the nonlocalities. For the initial correlated state, increasing the exciton–photon and fiber–photon couplings enhances the nonlocality conservation. For open microcavites, increasing the exciton–photon and fiber–photon couplings and the difference between them supports the nonlocality degradations resulting from the external environment dissipations.

AbstractMetasurfaces, composed of arranged nanoscale particles, manipulate electromagnetic waves for tailored physical properties. Recently vortex beams, carrying orbital angular momentum, have been generated through metasurfaces to realize diverse applications. Here, the study introduces a metasurface capable of generating dual‐mode vortex beams, which combines the functionalities of chiral metalenses and vortex beam generation. These dual‐mode vortex beams exhibit varying characteristics depending on the polarization state of the incident light, offering improved control over orbital angular momentum. This advancement holds promise for enhancing applications such as optical communication, optical tweezers, and imaging for overcoming diffraction limit. By employing titanium dioxide (TiO2) for its efficiency, the design concept is validated through simulations and discuss considerations for fabrication. The proposed approach paves the way for compact optical systems with heightened adaptability.

AbstractThrough the generalized fractional derivative, it is studied how the decay term and the fractional parameter affect the quantum system, specifically the interaction between the SU(1,1) algebraic system and a three‐level atom. By transforming the differential equations into fractional differential equations, general fractional solutions are obtained. The influence of decay and fractional parameter on phenomena such as revival and collapse, entropy squeezing, purity, and concurrence are investigated. The results demonstrate how both decay and fractal parameter affect periods of collapse and revival. It is worth noting that the decay parameter shortens the collapse periods, while an increase in the fractional parameter leads to longer collapse periods. The decay parameter also reduces the degree of entanglement between the different components of the quantum system, while increasing the fractional parameter enhances the entanglement within the quantum system. Hence, it can be concluded that the fractional parameter plays a crucial role in the observed effects on the studied properties.

AbstractThis study investigates a theoretical model of a Quantum Otto Cycle (QOC) that utilizes a working fluid spin‐chain‐star model. The system consists of a central atom interacting with multiple Heisenberg spin chains. Employing unitary transformations, the spin‐chain‐star system is transformed into a spin‐star model. The work done and heat transferred for three distinct working fluid configurations: the , , and cases are discussed. The efficiency of the heat engine is examined, and a comparative study between the efficiencies of the three configurations is presented. The study assumes two interaction scenarios for the central atom: either with a single chain (resulting in a two‐qubit system after transformation) or with three Heisenberg chains. The results demonstrate that increasing the ratio between the central atom's frequency in the hot bath and the cold bath leads to an enhancement in positive work performed for the and cases. In the case, the magnitude of this enhancement exhibits a dependence on the system's temperature. The QOC employing the configuration working fluid exhibits superior efficiency compared to the other two configurations. Moreover, increasing the central atom's relative frequency improves efficiency for all three cases.

AbstractThis study investigates the accelerated cosmic expansion within the Hořava–Lifshitz (HL) Model. To constrain the cosmological parameters of this model, 17 Baryon Acoustic Oscillation points, 31 Cosmic Chronometer points, 40 Type Ia Supernovae points, 24 quasar Hubble diagram points, and 162 Gamma Ray Bursts points, along with the latest Hubble constant measurement (R22) are incorporated. is treated as a free parameter to extract and using late‐time datasets, aiming for optimal fitting values in each model. Treating as free improves precision, reduces bias, and enhances dataset compatibility. The obtained values of and are compared to the model, showing consistency with previous estimates from Planck and SDSS studies. The Akaike Information Criterion (AIC) and Bayesian Information Criterion (BIC) favor the Hořava–Lifshitz model, with the model having the lowest AIC. Additionally, and analyses are conducted to assess model preference. Validation using the reduced statistic indicates satisfactory fits for the Hořava–Lifshitz model, while recognizing as the preferred model. Extensions of the analysis warrant further investigation.

AbstractQuantum gates are the essential block for quantum computers. High‐dimensional quantum gates exhibit remarkable advantages over their 2D counterparts for some quantum information processing tasks. Here, a family of entanglement‐based optical controlled‐SWAP gates on is presented. With the hybrid encoding, the control qubits and target qudits are encoded in photonic polarization and spatial degrees of freedom, respectively. The circuit is constructed using only () linear optics, beating an earlier result of 14 linear optics with . The circuit depth five is much lower than an earlier result of 11 with . Besides, the fidelity of the presented circuit can reach 99.4%, and it is higher than the previous counterpart with . The scheme is constructed in a deterministic way without any borrowed ancillary photons or measurement‐induced nonlinearities. Moreover, the approach allows .

AbstractResearch into network dynamics of spreading processes typically employs both discrete and continuous time methodologies. Although each approach offers distinct insights, integrating them can be challenging, particularly when maintaining coherence across different time scales. This review focuses on the Microscopic Markov Chain Approach (MMCA), a probabilistic f ramework originally designed for epidemic modeling. MMCA uses discrete dynamics to compute the probabilities of individuals transitioning between epidemiological states. By treating each time step—usually a day—as a discrete event, the approach captures multiple concurrent changes within this time frame. The approach allows to estimate the likelihood of individuals or populations being in specific states, which correspond to distinct epidemiological compartments. This review synthesizes key findings from the application of this approach, providing a comprehensive overview of its utility in understanding epidemic spread.