R. Chkaifa, H. Mhamdi, N. Habiballah, M. Daoud, B. Maroufi
{"title":"Dipolar Interaction Effects on Non-classical Correlations in the Quantum Dots Qubits Model with DM Interaction","authors":"R. Chkaifa, H. Mhamdi, N. Habiballah, M. Daoud, B. Maroufi","doi":"10.1007/s10773-026-06271-y","DOIUrl":"10.1007/s10773-026-06271-y","url":null,"abstract":"<div><p>In this work, we investigate the behavior of quantum coherence and non-classical correlations in a system of two qubits confined in semiconductor quantum dots, coupled via dipole–dipole interactions and influenced by both an external electric field and Dzyaloshinskii–Moriya (DM) interaction. We explore the behavior of coherence, entanglement (quantified via logarithmic negativity), and local quantum Fisher information (LQFI) under varying physical parameters such as temperature, dipolar coupling strength, and the DM interaction parameter. Our results reveal that quantum coherence and entanglement are significantly affected by thermal fluctuations and interaction strengths. Notably, both coherence and entanglement decay with increasing temperature, but exhibit enhanced robustness with stronger dipolar and DM couplings. Moreover, the persistence of LQFI in regimes where entanglement vanishes demonstrates the existence of quantum correlations beyond entanglement, with the DM interaction playing a crucial role in maintaining these correlations under adverse conditions.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"65 2","pages":""},"PeriodicalIF":1.7,"publicationDate":"2026-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147338845","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Lyapunov Exponent and Phase Transitions of AdS Black Hole in f(R) Gravity","authors":"Long Cheng, Hong-Guang Li","doi":"10.1007/s10773-026-06279-4","DOIUrl":"10.1007/s10773-026-06279-4","url":null,"abstract":"<div><p>We investigate the connection between thermodynamic phase transitions and chaotic dynamics in AdS-black hole spacetimes in <i>f</i>(<i>R</i>) gravity by analyzing the Lyapunov exponents of massless and massive particles orbiting unstable circular orbits. We find that the Lyapunov exponent exhibits multivalued behavior across a the phase transition, with each branch uniquely corresponding to a distinct black hole phase–small, intermediate, or large. Furthermore, the discontinuity in the Lyapunov exponent, <span>(Delta lambda )</span>, serves as an effective order parameter: it remains finite away from criticality and vanishes continuously at the critical point. Notably, near the critical point, <span>(Delta lambda )</span> follows a square-root scaling with reduced temperature, characterized by a critical exponent of <span>(1/2)</span>, consistent with mean-field behavior. These demonstrate that the Lyapunov exponent provides a robust dynamical framework for probing and characterizing black hole phase structure in more generic framework of gravity. Finally, we explore the chaos bound and its violation during the phase transition.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"65 2","pages":""},"PeriodicalIF":1.7,"publicationDate":"2026-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147338843","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Solution to Nonlinear Fractional Duffing Oscillator using MsDTM","authors":"Abrar A. Alharbi, Noufe H. Aljahdaly","doi":"10.1007/s10773-025-06210-3","DOIUrl":"10.1007/s10773-025-06210-3","url":null,"abstract":"<div><p>This study proposes a numerical approach for solving the nonlinear fractional Duffing oscillator equation utilizing the Multistage Differential Transformation Method (MsDTM). The MsDTM offers a straightforward numerical framework that avoids the need for discretizations or normalization processes. By employing the Differential Transformation Method (DTM), the original problem is reformulated into a simplified recursive computational scheme. A notable limitation of the conventional DTM lies in its restricted convergence over large domains due to the localized nature of the underlying Taylor series expansion. To mitigate this issue, the computational domain is partitioned into smaller sub-intervals, within which the DTM is independently applied. This multistage application enhances the method’s accuracy and stability. The precision of the MsDTM is influenced by the selected time step and the number of iterations; however, satisfactory results can often be achieved with relatively few iterations. In this work, the method is further adapted to address a nonhomogeneous, nonlinear fractional Duffing oscillator equation, demonstrating its efficacy in handling nonhomogeneous fractional-order dynamical systems.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"65 2","pages":""},"PeriodicalIF":1.7,"publicationDate":"2026-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147338844","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Schrödinger-invariance in the Voter Model","authors":"Malte Henkel, Stoimen Stoimenov","doi":"10.1007/s10773-025-06151-x","DOIUrl":"10.1007/s10773-025-06151-x","url":null,"abstract":"<div><p>Exact single-time and two-time correlations and the two-time response function are found for the order-parameter in the voter model with nearest-neighbour interactions. Their explicit dynamical scaling functions are shown to be continuous functions of the space dimension <span>(d>0)</span>. Their form reproduces the predictions of non-equilibrium representations of the Schrödinger algebra for models with dynamical exponent <img> and with the dominant noise-source coming from the heat bath. Hence the ageing in the voter model is a paradigm for relaxations in non-equilibrium critical dynamics, without detailed balance, and with the upper critical dimension <span>(d^*=2)</span>.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"65 2","pages":""},"PeriodicalIF":1.7,"publicationDate":"2026-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147338111","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Óscar Rodríguez-Villalba, Ivan Saychenko, Massimo Pietroni, Sandro Wimberger
{"title":"(1+1)-Dimensional Schrödinger-Poisson Equation with Contact Interaction","authors":"Óscar Rodríguez-Villalba, Ivan Saychenko, Massimo Pietroni, Sandro Wimberger","doi":"10.1007/s10773-026-06265-w","DOIUrl":"10.1007/s10773-026-06265-w","url":null,"abstract":"<div><p>We investigate the role of contact interactions in the dynamics of fuzzy dark matter (FDM) modeled through the Schrödinger-Poisson equation in one spatial dimension. While the <span>(Lambda )</span>CDM paradigm successfully explains structure formation on large scales, its small-scale predictions remain in tension with observations. FDM offers an alternative framework, where local self-interactions can further influence the formation and evolution of structures. We explore both attractive and repulsive contact interactions in static and expanding backgrounds. Using numerical simulations, we examine their impact on three key scenarios: the properties of the lowest-energy stationary solution, the relaxation of localized initial states, and the gravitational collapse of nonlocalized states. Our results show that contact interactions modify the density profile of the stationary solution and affect the onset of characteristic stages of gravitational collapse, particularly the shell-crossing event. In the (1+1) model, we confirm that relaxation does not converge to the lowest-energy stationary solution, even when local self-interactions are included. Taken together, local self-interactions play a relevant role in shaping the nonlinear dynamics of FDM and motivate further studies in higher-dimensional and cosmologically realistic settings.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"65 2","pages":""},"PeriodicalIF":1.7,"publicationDate":"2026-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10773-026-06265-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147338110","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Flavour Anomalies: A comparative Analysis using a Machine Learning Algorithm","authors":"S. Peñaranda, J. Alda, A. Mir","doi":"10.1007/s10773-026-06263-y","DOIUrl":"10.1007/s10773-026-06263-y","url":null,"abstract":"<div><p>We present an analysis on flavour anomalies in semileptonic rare <i>B</i>-meson decays using an effective field theory approach and assuming that new physics affects only one generation in the interaction basis and non-universal mixing effects are generated by the rotation to the mass basis. A global fit to experimental data is performed, focusing on LFU ratios <span>(R_{D^{(*)}})</span> and <span>(R_{J/psi })</span> and branching ratios that exhibit tensions with Standard Model predictions on <span>(B rightarrow K^{(*)} nu bar{nu })</span> decays. In our analysis, we use a Machine Learning Montecarlo algorithm, a framework that emulates the highly non-Gaussian structure of the likelihood landscape with minimal training cost. This method enables the generation of high-resolution confidence regions and detailed correlation analyses. By comparing three different scenarios, we show that the one that introduces only mixing between the second and third quark generations and no mixing in the lepton sector, as well as independent coefficients for the singlet and triplet four fermion effective operators, provides the best fit to the experimental data. A comparison with previous results is performed. We highlight the key strengths of the Machine Learning framework in our analysis.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"65 2","pages":""},"PeriodicalIF":1.7,"publicationDate":"2026-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10773-026-06263-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147337846","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Generalized Lucas Polynomial Method for Solving Two-classes of (psi )-fractional Differential Equations","authors":"Sedigheh Sabermahani","doi":"10.1007/s10773-026-06269-6","DOIUrl":"10.1007/s10773-026-06269-6","url":null,"abstract":"<div><p><span>(psi )</span>-fractional differential equations (<span>(psi )</span>-FDEs) extend the capabilities of standard fractional differential equations by introducing a general function <span>(psi )</span> in the fractional derivative operator. We can recover various known fractional derivatives such as Riemann-Liouville, Caputo, Hadamard, and others by selecting specific forms of <span>(psi )</span>. This provides a flexible framework for modeling different types of non-local behaviors. Hence, this study is devoted to designing a new computational scheme to solve <span>(psi )</span>-FDEs and <span>(psi )</span>-fractional integro-differential equations (<span>(psi )</span>-FIDEs) with <span>(psi )</span>-Caputo derivative. We use the generalized Lucas polynomials (G-LPs) and the collocation method to develop the desired technique. To do this, we propose a <span>(psi )</span>-Caputo derivative operator for G-LPs. Subsequently, by employing the collocation method, and the mentioned required preliminaries, the addressed problems are transformed into systems of algebraic equations, which can be solved through Newton’s iterative method. Numerical results and comparative analyses illustrate that the proposed method exhibits a high accuracy and efficiency.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"65 2","pages":""},"PeriodicalIF":1.7,"publicationDate":"2026-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147337848","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Long-lived Modes and Grey-body Factors of Massive Fields in Quantum-corrected (Hayward) Black Holes","authors":"Alexey Dubinsky","doi":"10.1007/s10773-026-06274-9","DOIUrl":"10.1007/s10773-026-06274-9","url":null,"abstract":"<div><p>We study the dynamics of a massive scalar field in the background of the Hayward black hole, which can be interpreted both as a regular spacetime and as an effective geometry arising from Asymptotically Safe gravity. The quasinormal spectrum and grey-body factors are computed using the WKB method with Padé improvements and confirmed through time-domain integration followed by Prony analysis. We find that the mass of the field significantly suppresses the damping rate of quasinormal oscillations, giving rise to long-lived modes that continuously approach arbitrarily long-lived states (quasi-resonances) at certain critical field masses. In the time domain, the standard exponentially decaying ringdown is replaced by oscillatory tails with a power-law envelope. The corresponding grey-body factors reveal a pronounced shift of the transmission peak toward higher frequencies and a suppression of the low-frequency part of the spectrum. Finally, we show that the correspondence between quasinormal modes and grey-body factors remains valid for massive fields, being highly accurate for large multipole numbers and gradually losing precision as either the field mass increases or the multipole number decreases.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"65 2","pages":""},"PeriodicalIF":1.7,"publicationDate":"2026-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147337321","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Exploring the Lossy Nonlinear Electrical Transmission Line Model: Soliton Solutions via Beta Fractional Derivative, Unified F-Expansion Method, and Dynamical Insight","authors":"Xinyue Li, Yiqun Sun, Peng Guo, Jianming Qi","doi":"10.1007/s10773-026-06267-8","DOIUrl":"10.1007/s10773-026-06267-8","url":null,"abstract":"<div><p>This study innovatively focuses on the lossy nonlinear electrical transmission line model system. First, it conducts in-depth analysis using the Beta fractional derivative and inventively applies the unified <i>F</i>-expansion method to explore soliton solutions in Jacobian elliptic functions, revealing unique oscillation coupling phenomena. Second, it studies the two-dimensional dynamical system and phase portraits through skillful equation transformation, providing a visual tool for understanding the physical laws of the system. Third, it breaks previous restrictive conditions when constructing the Hamiltonian structure, more truly reflecting the physical conditions of transmission lines. Fourth, it expands the research on fractional-order changes in this model and discovers complex dynamic behaviors. Fifth, it adopts the Chebyshev spectral collocation method to solve numerical solutions, achieving high precision and low error. These novelly results enrich the understanding of the lossy nonlinear electrical transmission line model, lay a theoretical foundation for its applications in communication, power transmission, and related models, and hold broad prospects.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"65 2","pages":""},"PeriodicalIF":1.7,"publicationDate":"2026-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147337322","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Neural Network Quantum States in Curved Spacetime","authors":"A. M. Kalitenko, P. I. Pronin","doi":"10.1007/s10773-026-06273-w","DOIUrl":"10.1007/s10773-026-06273-w","url":null,"abstract":"<div><p>The Neural Network Quantum State (NNQS) approach offers a novel way to solve problems in quantum physics. Although this technique has been successful in addressing various issues, further research is needed to understand its full potential and limitations. In this study, we propose a neural network-based solution for the spinless particle within the Schwarzschild metric for three coordinate systems and compare it with the solution of the Klein–Gordon–Fock equations with a Coulomb potential. Our approach bridges the gap between analytic and numerical methods, improving the quality and usefulness of future studies in this field.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"65 2","pages":""},"PeriodicalIF":1.7,"publicationDate":"2026-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147337256","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}