Scrambling in Ising spin systems with constant and periodic transverse magnetic fields

Scrambling of quantum information in both integrable and nonintegrable systems, including the transverse field Ising model (TFIM) and Floquet spin systems are studied. Our study employs tripartite mutual information (TMI), with negative TMI serving as an indicator of scrambling, where a more negative value suggests a higher degree of scrambling. In the integrable and nonintegrable TFIM, we observe pronounced scrambling behavior, with the initial growth following a power-law pattern. However, nonintegrable TFIM exhibits a higher degree of scrambling compared to the integrable version. In the Floquet system, TMI is studied across periods from $0$ to $\pi/2$. Both integrable and nonintegrable Floquet systems display scrambling behavior across all periods, except at $\tau=\pi/4$, featuring power-law growth for small periods and abrupt jumps for larger ones. Nonintegrable Floquet systems exhibit more pronounced scrambling compared to integrable ones across all periods. The degree of scrambling increases as we move towards $\tau = \pi/4$, reaching its peak near $\tau = \pi/4$ (but not at $\tau = \pi/4$), regardless of the initial states. TMI saturation fluctuates less in the Floquet system in comparison to the TFIM. The growth of scrambling in the Floquet system mirrors TFIM for small periods but exhibits notably faster growth for larger periods. For a small period, the degree of scrambling in a Floquet system is comparable to that in the TFIM, but it becomes significantly greater for larger periods.Comment: 11 pages, 49 figure

A study of effect of medications on patients with non complicated acute bronchitis

Background: Authors define acute bronchitis as a self-limiting infection of large airways, which is characterized by cough without pneumonia. NSAIDS (Non-steroidal anti-inflammatory drugs) are prescribed in patients with Lower Respiratory Tract Infections (LRTI). In cough, fever and chest pain it is common practice to prescribe NSAIDS or antibiotics. Authors have conducted assessment of effect of medications in the resolution of cough of patients with uncomplicated acute bronchitis.Methods: It was a single blinded randomized clinical trial conducted in patients admitted to pulmonary medicine department of government medical college Shivpuri. Patients were from age group 18 to 70 years presenting with respiratory tract infection of less than one week’s duration, with cough as the predominant symptom and diagnosed with non-complicated acute bronchitis. Patients were randomized into two groups, group A and B according to medications.Results: Among 120 participants were randomized (60 to ibuprofen and 60 to antibiotic). The median number of days with frequent cough was slightly lower among patients of group A (12 days) compared with those receiving amoxicillin-clavulanic acid (14 days). No significant difference was found. Adverse effect was seen in 24 patients, which was most common in group B (15.25%) than group A (9.15%). p<0.05).Conclusions: No significant differences were observed in the number of days with cough between patients with uncomplicated acute bronchitis treated with ibuprofen or amoxicillin-clavulanic acid

Simulation-based evaluation of an integrated planning and scheduling algorithm for maintenance projects

The field of maintenance project planning and scheduling is attracting increasing attention due to ever growing competition among manufacturing organisations. There is a lack of studies that has tackled all the aspects of maintenance project implementation such as costs, resources, down times, uncertainties, operational constraints, among others. Therefore, an approach which uses a unitary structuring method and discrete event simulation to integrate relevant data about the maintenance projects is proposed. The results of the evaluation, on a case from paper-pulp industry, have shown that the proposed approach is able to overcome most of the issues of maintenance planning and scheduling

Effect of Liquid Transparency on Laser-induced Motion of Drops

An Experimental investigation of the role of liquid transparency in controlling laser-induced-motion of liquid drops is carried out. Droplets with diameters of 1 4 mm were propelled on a hydrophobic substrate using pulsed-laser beam (532 nm, 10 Hz, 3-12 mJ/pulse) with 0.9 mm diameter fired parallel to the substrate. The test liquid was distilled water whose transparency was varied by adding different concentration of Rhodamine 6G fluorescent dye. Motion of the drops was observed under a camera. Measurements include direction of motion, distance traveled before the drops come to rest, and drop acceleration at the start of the motion. The motion of both transparent and opaque drops was dominated by thermal Marangoni effect. The present results show that direction of motion depends on the drop transparency; opaque drops moved away from the laser beam, whereas transparent drops moved at small angles toward the laser beam. This is plausible because the laser beam was absorbed near the front face of opaque drops, whereas the laser beam was focused near the rear face of transparent drops. Energies lower than 3 mJ were incapable of moving the drops and energies higher than 12 mJ shattered the drops instead of moving them. The distance the drops move follows a log-normal profile, with most of the drops moving about 5 drop diameters. A phenomenological model is developed for the drop motion which explains the physics behind the phenomenon. The entire process of drop motion has the potential of being automated.Mechanical & Aerospace Engineerin

Experimental and Numerical Analysis of Negative Spring back in Interstitial Free (IF) Steel

Abstract One of the most sensitive features of sheet metal forming processes is the elastic recovery during unloading, called spring-back, which leads to some geometric changes in the product. This phenomenon will affect bend angle and bend curvature, and can be influenced by various factors. In this research, the effects of anisotropy i.e., the rolling direction of 0° , 45° & 90° of ultra low carbon steel Interstitial Free (IF) Steel in V-bending with a punch corner radii of 7.5mm, were studied by experiments and numerical simulations. Comparison between the experimental and the finite element simulation results are also presented and found to be in close agreement

Out-of-time-order correlation and detection of phase structure in Floquet transverse Ising spin system

We study the out-of-time-order correlation (OTOC) of the Floquet transverse Ising model and use it to verify the phase diagram of the system. First, we present the exact analytical solution of the transverse magnetization OTOC using the Jorden-Wigner transformation. In order to get the phase structure of the Floquet transverse Ising system, we use the longitudinal magnetization OTOC as it is known to serve as an order parameter of the system. We show the phase structure numerically in the transverse Ising Floquet system by using the long time average of the longitudinal magnetization OTOC. In both the open and the closed chain systems, we find distinct phases out of which two are paramagnetic (0-paramagnetic and $\pi$-paramagnetic), and two are ferromagnetic (0-ferromagnetic and $\pi$-ferromagnetic) as defined in the literature.Comment: 9 Pages, 7 Figure

Discriminating chaotic and integrable regimes in quenched field Floquet system using saturation of Out-of-time-order correlation

The dynamic region of out-of-time-ordered correlators (OTOCs) is a valuable discriminator of chaos in classical and semiclassical systems, as it captures the characteristic exponential growth. However, in spin systems, it does not reliably quantify chaos, exhibiting similar behavior in both integrable and chaotic systems. Instead, we leverage the saturation behavior of OTOCs as a means to differentiate between chaotic and integrable regimes. We use integrable and nonintegrable quenched field Floquet systems to describe this discriminator. In the integrable system, the saturation region of OTOCs exhibits oscillatory behavior, whereas, in the chaotic system, it shows exact saturation i.e., system gets thermalized. To gain a clearer understanding of the oscillations, we calculate the inverse participation ratio (IPR) for the normalized Fourier spectrum of OTOC. In order to further substantiate our findings, we propose the nearest-neighbor spacing distribution (NNSD) of time-dependent unitary operators. This distribution effectively differentiates chaotic and regular regions, corroborating the outcomes derived from the saturation behavior of OTOC.Comment: 12 Pages and 12 Figure

New discussion concerning to optimal control for semilinear population dynamics system in Hilbert spaces

The objective of our paper is to investigate the optimal control of semilinear population dynamics system with diffusion using semigroup theory. The semilinear population dynamical model with the nonlocal birth process is transformed into a standard abstract semilinear control system by identifying the state, control, and the corresponding function spaces. The state and control spaces are assumed to be Hilbert spaces. The semigroup theory is developed from the properties of the population operators and Laplacian operators. Then the optimal control results of the system are obtained using the C0-semigroup approach, fixed point theorem, and some other simple conditions on the nonlinear term as well as on operators involved in the model

Molecular cloning, expression, and purification, along with in silico epitope analysis of recombinant enolase proteins (a potential vaccine candidate) from Candida albicans and Candida auris

Candida albicans is the predominant cause of systemic candidiasis, although other non albicans Candida species are progressively becoming more widespread nowadays. Candida auris has emerged as a deadly multidrug-resistant fungal pathogen, posing a significant threat to global public health. In the absence of effective antifungal therapies, the development of a vaccine against C. auris infections is imperative. Enolase, a key glycolytic enzyme, has emerged as a promising vaccine candidate due to its immunogenic properties and essential role in fungal virulence. Herein, full-length Enolase gene sequences from C. albicans and C. auris were cloned into suitable expression vector and transformed into Escherichia coli expression hosts. Recombinant Enolase proteins were successfully expressed and purified using affinity chromatography under native conditions, followed by SDS-PAGE characterization and Western blot analysis. CD spectroscopy verified the existence of expressed proteins in soluble native conformation. Preliminary in silico studies verified the immunogenicity of recombinant Enolase proteins isolated from both C. albicans and C. auris. Furthermore, bioinformatics analysis revealed conserved B-cell and T-cell epitopes across C. albicans and C. auris Enolase proteins, suggesting potential cross-reactivity and broad-spectrum vaccine efficacy. Our findings are anticipated to play a role in advancing therapeutic as well as diagnostic strategies against systemic candidiasis