Yinzhu Wang, Chen Cheng, Lihua Hao, Yanjing Sun, Ruifen Ma
{"title":"Some Monogamy Inequalities Based on the (alpha )-logarithmic Concurrence Measure for N-qubit States","authors":"Yinzhu Wang, Chen Cheng, Lihua Hao, Yanjing Sun, Ruifen Ma","doi":"10.1007/s10773-025-05897-8","DOIUrl":"10.1007/s10773-025-05897-8","url":null,"abstract":"<div><p>Monogamy relation is one of the essential properties of quantum entanglement, which characterizes the distribution of entanglement in a multipartite system. In this paper, we introduce some monogamy inequalities based on the <span>(alpha )</span>-logarithmic concurrence entanglement measure for <i>N</i>-qubit states and we demonstrate that our new monogamy inequality is stronger than existing monogamous relations. Finally, the newly given monogamy inequality is shown to be stricter through some detailed examples.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-01-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142995623","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}
Amjad Sohail, Hazrat Ali, Aamir Shahzad, Tariq Munir, Rizwan Ahmed
{"title":"Nanomechanically-Induced Transparency in (mathcal{P}mathcal{T})-Symmetric Optical Cavities","authors":"Amjad Sohail, Hazrat Ali, Aamir Shahzad, Tariq Munir, Rizwan Ahmed","doi":"10.1007/s10773-025-05892-z","DOIUrl":"10.1007/s10773-025-05892-z","url":null,"abstract":"<div><p>We propose an efficient scheme to analytically discuss the phenomena of nanomechanically induced transparency (NMIT) and transmission rate in a parity-time-symmetric (<span>(mathcal{P}mathcal{T})</span>-symmetric) optonanomechanical system (ONMS). A levitated dielectric nanosphere is trapped near the antinodes closest to the passive cavity’s right mirror, which is further coupled to an active cavity via a hoping factor. We discover that the phenomenon of NMIT may be generated from the output probe field in the presence of an effective optonanomechanical coupling between the cavity field and the nanosphere, whose steady-state position is influenced by the Coulomb interaction between the cavity mirror and the nanosphere. This optonanomechanical coupling strength can be well modified by varying the radius of the nanosphere and the Coulomb interaction. Furthermore, optical absorption and amplification can be adjusted by manipulating the gain-to-loss ratio as well as varying the effective optonanomechanical coupling strength. The transition NMIT behavior in the <span>(mathcal{P}mathcal{T})</span>-symmetric and broken <span>(mathcal{P}mathcal{T})</span>-symmetric domain is among the most intriguing results. Finally, for a fixed gain-to-loss ratio, the transmission spectra can also be studied by varying the steady-state position of the nanosphere. These results show that our scheme may inspire some potential applications for optical signal processing and quantum information processing.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-01-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142995701","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":"Kiselev/CFT Correspondence and Black Hole Thermodynamics","authors":"J. Sadeghi, B. Pourhassan, M. Rostami, Z. Nekouee","doi":"10.1007/s10773-025-05885-y","DOIUrl":"10.1007/s10773-025-05885-y","url":null,"abstract":"<div><p>In this research, we comprehensively investigate the thermodynamic properties of the Kiselev black hole and its holographic counterpart. Our investigation yields the thermodynamic product relations for the Kiselev black hole in environments permeated by dust and radiation. We establish that similar to Einstein’s gravity scenarios, the product of area (or entropy) in both contexts retains mass independence, suggesting its potential universality. In addition, we deduce bounds for the black hole’s entropy at both the inner and outer horizons. We also unveil an asymmetry between the central charges of the left and right-moving sectors when placed within the framework of universal thermodynamic principles. This asymmetry paves the way for inferring the central charges in the associated conformal field theory (CFT). Contrary to our initial findings, we observe that the central charges for the left and right-moving sectors in the CFT ultimately conform to uniform values.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-01-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142994918","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":"Complete Set of Unitary Irreps of Discrete Heisenberg Group ( HW_{2^{s}})","authors":"E. Floratos, I. Tsohantjis","doi":"10.1007/s10773-025-05888-9","DOIUrl":"10.1007/s10773-025-05888-9","url":null,"abstract":"<div><p>Following the method of induced group representations of Wigner-Mackay, the explicit construction of all the unitary irreducible representations of the discrete finite Heisenberg-Weyl group <span>(HW_{2^{s}})</span> over the discrete phase space lattice <span>(mathbb {Z}_{2^{s}}otimes )</span> <span>(mathbb {Z}_{2^{s}})</span> is presented. We explicitly determine their characters and their fusion rules. We discuss possible physical applications for finite quantum mechanics and quantum computation.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10773-025-05888-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142995488","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}
J. T. Quartuccio, P. H. R. S. Moraes, J. D. V. Arbañil
{"title":"Deformed Compact Objects","authors":"J. T. Quartuccio, P. H. R. S. Moraes, J. D. V. Arbañil","doi":"10.1007/s10773-025-05890-1","DOIUrl":"10.1007/s10773-025-05890-1","url":null,"abstract":"<div><p>We present solutions for deformed compact astrophysical objects. We begin by presenting the derivation of the Tolman-Oppenheimer-Volkoff equations from a parameterized metric that takes into account the deformation of the star expressed in terms of a parameter <span>(mathcal {D})</span>, which is the ratio between polar and equatorial radii. The stellar structure is solved using the GM1 and MIT bag model equations of state, and the “deformed” Tolman-Oppenheimer-Volkoff equation is numerically integrated for different values of <span>(mathcal {D})</span>. To simplify the analysis, the dimensionality of the problem is reduced to a single radial component, leveraging a direct relationship between <span>(mathcal {D})</span> and the polar and equatorial directions. This approach allows us to demonstrate the influence of deformation in the star’s mass in a consistent manner. We show that larger values of <span>(mathcal {D}>1)</span>, describing prolate objects, yield smaller values of mass and radius, while for smaller values of <span>(mathcal {D}<1)</span>, describing oblate objects, larger values for mass and radius are attained. We also show that from the confrontation of our model theoretical predictions with recent observational data on pulsars, it is possible to constrain the values of the parameter <span>(mathcal {D})</span>. Remarkably, the solutions for the two distinct equations of state, when compared to such observational data, yield the same constraints on the deformation parameter.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142995490","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}
Javid Ahmad Malik, Muzaffar Qadir Lone, Prince A Ganai
{"title":"Bidirectional Quantum Teleportation in Presence of Dephasing","authors":"Javid Ahmad Malik, Muzaffar Qadir Lone, Prince A Ganai","doi":"10.1007/s10773-025-05889-8","DOIUrl":"10.1007/s10773-025-05889-8","url":null,"abstract":"<div><p>Perfect quantum teleportation relies on a maximally entangled channel shared between two users. However, inherent decoherence effects make this idea difficult to achieve in practice. Specifically, dephasing causes phase randomization, leading to information loss and reduced fidelity in quantum teleportation. This study examines the impact of dephasing on bidirectional quantum teleportation (BQT) by analyzing the average fidelity of BQT under different environmental conditions. Results show that the average fidelity remains above the classical limit of <span>(frac{2}{3})</span> for various bath spectral densities like (sub-ohmic (<span>(s < 1 )</span> ), ohmic ( <span>(s = 1 )</span>), and super-ohmic (<span>(s > 1 )</span>) ), as well as over a range of cutoff frequencies (<span>(omega _{c})</span>). In the sub-ohmic case, enhanced fidelity of BQT is observed. The dephasing effects on <span>( N leftrightarrow N )</span> qubit BQT are also explored, with our analysis uniquely demonstrating that the intrinsic efficiency (<span>( eta )</span>) can reach a maximum value of <span>( 50% )</span> while minimizing resource consumption and complexity.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-01-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142995095","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":"Ulam–Hyers–Mittag–Leffler Stability for a Class of Nonlinear Fractional Reaction–Diffusion Equations with Delay","authors":"Rahim Shah, Natasha Irshad","doi":"10.1007/s10773-025-05884-z","DOIUrl":"10.1007/s10773-025-05884-z","url":null,"abstract":"<div><p>In this paper, we introduce and analyze two new results on the Mittag–Leffler–Ulam–Hyers stability for a class of nonlinear fractional reaction–diffusion equations with delay. We demonstrate that these equations exhibit Ulam–Hyers–Mittag–Leffler stability on a compact interval with respect to the Chebyshev and Bielecki norms, using fixed–point method. These results extend and encompass many previous findings while offering notable improvements. To illustrate the practical applications of our results, we provide three examples. Despite extensive literature on the Lyapunov, Ulam, and Mittag–Leffler stability of fractional equations with and without delays, there is limited research on the Mittag–Leffler–Ulam–Hyers stability of fractional equations with delay. Hence, a key aim of this work is to address this gap by exploring a class of nonlinear fractional reaction–diffusion equations with delay and establishing new results on their Mittag–Leffler–Ulam–Hyers stability.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10773-025-05884-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142976524","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":"On the Eigenfunctions of the Hartley-Bessel Transform: An Approach through Supersymmetric Wigner-Dunkl Quantum Mechanics","authors":"F. Bouzeffour","doi":"10.1007/s10773-025-05883-0","DOIUrl":"10.1007/s10773-025-05883-0","url":null,"abstract":"<div><p>Integral transforms, such as the Fourier transform and Hartley transform are indispensable tools in various scientific disciplines, particularly in solving differential and difference-differential equations. In quantum mechanics, these transforms play crucial roles, with the Fourier transform being pivotal in addressing the Schrödinger equation for harmonic oscillators. The Hartley transform, introduced as an alternative to the Fourier transform, shares essential properties and finds applications in supersymmetric quantum mechanics. This paper explores the integration of Wigner-Dunkl Quantum Mechanics with supersymmetric Quantum Mechanics, following early investigations by Post et al. and subsequent studies. We propose a modification to the conventional derivative operator by introducing the Dunkl operator, leading to the derivation of overcomplete bases for Hartley-Bessel transform eigenvectors.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142963068","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":"An Advanced Collaborative Routing Algorithm for Optimizing Entanglement and Resource Efficiency in Quantum Networks","authors":"Zhongrui Huang, Hong Lai, Linchun Wan","doi":"10.1007/s10773-024-05874-7","DOIUrl":"10.1007/s10773-024-05874-7","url":null,"abstract":"<div><p>The entanglement routing algorithm facilitates multi-path communication among users in quantum networks via quantum entanglement. While previous research primarily concentrated on maximizing throughput, practical implementations also necessitate consideration of service rates and quantum resource utilization. This paper presents a novel routing algorithm called Collaboratively Optimized Selection of Paths (COSP) that balances expected throughput, service rate and quantum resource utilization. The COSP algorithm integrates resource efficiency as a novel routing metric alongside the Monte Carlo Tree Search method to optimize resource allocation policies. To address high concurrency and conflicting requests, COSP implements a strategic grouping of user requests coupled with a “fail-retransmit” mechanism to ensure fairness. Simulation results reveal that COSP significantly outperforms traditional greedy resource allocation strategies, boosting handling of high concurrency scenarios by 50%, also significantly improving the service rate by up to 55%.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142941206","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":"A Bilinear Neural Network Method for Solving a Generalized Fractional (2+1)-Dimensional Konopelchenko-Dubrovsky-Kaup-Kupershmidt Equation","authors":"Nguyen Minh Tuan, Phayung Meesad","doi":"10.1007/s10773-024-05855-w","DOIUrl":"10.1007/s10773-024-05855-w","url":null,"abstract":"<div><p>The bilinear neural network method (BNNM), an approach of machine learning technique, includes the construction of an extended homoclinic test approach (EHTA) to attain the solutions of a generalized fractional (2+1)-dimensional Konopelchenko - Dubrovsky - Kaup - Kupershmidt (gfKDKK) equation which plays a pivotal role in the study of dynamics and plasma physics. The technique provides a new construction focused on finding solutions to the gfKDKK equation using the BNNM. Based on an EHTA formulation, BNNM offers an open, straightforward, and varied approach to building test functions and collecting solutions. In this study, the solutions obtained are constructed on the expression of Hirota’s bilinear operator, which encompasses a variety of solutions such as peak soliton solution, solitary wave solution, and periodic soliton solutions. The BNNM’s ability to generate diverse solutions highlights its versatility and potential for addressing complex nonlinear partial differential equations. The visualization is graphed in 3D and 1D contour using a Python application to investigate the behavior of the solutions.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142939415","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}