{"title":"Numerous Exact Two-Pick, M-Shaped, and W-Shaped Solutions of Wavelength-Division-Multiplexed Channels of Optical Fibre Transmission Systems Described by Coupled Nonlinear Schrödinger Equations","authors":"Prakash Kumar Das, Mrinal Kanti Mondal","doi":"10.1007/s10773-024-05771-z","DOIUrl":"10.1007/s10773-024-05771-z","url":null,"abstract":"<div><p>The coupled nonlinear Schrödinger equation, which appears as a model explaining the interactions between pulses in wavelength-division-multiplexed channels of optical fibre transmission systems, is studied in three different scenarios of solitons interactions. The travelling transformation is used to convert them into a stationary form, or nonlinear ODE. Then, RCAM is used to solve three different integrable cases of these systems. For every one of these generated solution’s boundedness requirements, three theorems are proposed and independently proven. To confirm the validity of the theorems, a few specific values of the parameters that meet the requirements of the theorems are taken, plotted, and different soliton profiles of the system are analysed. This study presents, for the first time, the appearance criteria for the W-shape, M-shape, and double-pick structure solition profiles together with their optimal locations. We investigate the ways in which the existence of several optima points governs the shape of solutions that emerge as multiple two-pick, M-shaped, and W-shaped solitons. The findings of the research may be useful in the development of birefringence controlled switching and bright and dark soliton fibre lasers.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 9","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-09-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142209422","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":"Optomechanically Induced Transparency of Double-Cavity Optomechanical System with (mathcal{P}mathcal{T}-)Symmetry and (mathcal{P}mathcal{T}-)Asymmetry","authors":"Yueming Wang","doi":"10.1007/s10773-024-05765-x","DOIUrl":"10.1007/s10773-024-05765-x","url":null,"abstract":"<div><p>Opto-mechanical systems have been investigated both theoretically and experimentally characteristic of optomechanically induced transparency (OMIT), i.e., sharp transmission features controlled by a second control beam. We studied theoretically the opto-mechanically induced transparency (OMIT) properties of double-cavity opto-mechanical system with <span>(mathcal{P}mathcal{T}-)</span>symmetry and <span>(mathcal{P}mathcal{T})</span>-asymmetry within the setting of cavity quantum electrodynamics. By means of Fourier transformation we get the pump-probe spectroscopy exactly and find the second cavity plays important roles in the properties of probe beam transmission. The dip value of OMIT can reach zero which means perfect transmission. There appear two transparency windows for the probe beam in one resonator with the increasing power of control laser beam fed into the other resonator, especially the probe beam can obtain significant gain even without direct tunneling of photons between two resonators. We expect our results would be realized experimentally and be useful for the future designs of quantum functional devices.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 9","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-09-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142209423","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":"On Light-by-Light Interaction in QED","authors":"Salah Eddine Ennadifi","doi":"10.1007/s10773-024-05762-0","DOIUrl":"10.1007/s10773-024-05762-0","url":null,"abstract":"<div><p>In light of the recent observation of light-by-light interaction at the LHC, we consider the possible two photon interaction in the QED vacuum when it is exposed to an intense electromagnetic field <span>(E_{gamma })</span> of counter-propagating charged particles. In particular, we investigate the photon-photon scattering <span>(gamma gamma rightarrow Xlongrightarrow gamma gamma )</span> through the virtual electron-positron paires <span>(Xequiv e^{-}e^{+})</span> of the QED vacuum medium with induced deviated refraction index <span>(eta _{vac} ^{QED}left( E_{gamma }right) simeq 1pm xi _{gamma }E_{gamma } ^{2}/m_{e^{pm }}^{2})</span>. Then, according to the known and reported data we bound the corresponding photonic scattering cross section <span>(sigma _{gamma gamma }lesssim 10^{-34}cm^{2})</span>.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 9","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142209426","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":"Bell’s and Mermin’s Inequalities, Entangled Coherent States and Unitary Operators","authors":"S. P. Sorella","doi":"10.1007/s10773-024-05764-y","DOIUrl":"10.1007/s10773-024-05764-y","url":null,"abstract":"<div><p>We elaborate on the recent proposal of employing unitary operators in Quantum Mechanics. The Bell and Mermin inequalities for entangled coherent states are scrutinized by making use of the unitary displacement operators. A violation of the Mermin inequality close to the maximum allowed value is reported, in agreement with the existing literature.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 9","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142209425","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":"Variation of the Influence of Atangana-Conformable Time-Derivative on Various Physical Structures in the Fractional KP-BBM Model","authors":"Marwan Alquran","doi":"10.1007/s10773-024-05767-9","DOIUrl":"10.1007/s10773-024-05767-9","url":null,"abstract":"<div><p>The aim of this research is to explore the influence of fractional derivatives on solutions of various physical forms within a single mathematical model. By examining the Kadomtsev-Petviashvili-Benjamin-Bona-Mahony equation with the inclusion of temporal Atangana-conformable derivatives, and utilizing two effective methods, we observe distinct variations in the impact of the fractional derivative on altering the inherent physical properties of the proposed model. This research highlights an important function of the fractional derivative, indicating its role as a memory transmitter. This role illustrates how the physical characteristics inherent in the proposed application evolve as the value of the fractional derivative changes within the range of (0, 1) and nears that of the integer derivative. Finally, we provide illustrative 2D-plots to reinforce the findings of this study.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 9","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142209427","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":"Cyclic Controlled Assisted Cloning Via A Hyper-Entangled State","authors":"Jin Shi","doi":"10.1007/s10773-024-05725-5","DOIUrl":"10.1007/s10773-024-05725-5","url":null,"abstract":"<div><p>Two novel schemes for symmetry deterministic cyclic controlled assisted cloning and asymmetry deterministic cyclic controlled assisted cloning by using a three-particle hyper-entangled state as the quantum channel are proposed in this paper. The first stage of scheme for symmetry deterministic cyclic controlled assisted cloning requires symmetry deterministic cyclic controlled teleportation. Three distant parties Alice, Bob and Charlie can simultaneous teleport an arbitrary unknown one-qubit state each other via Bell-state measurement, Hadamard operation, single-particle projective measurement, and appropriate unitary transformation. In the second stage of scheme for symmetry deterministic cyclic controlled assisted cloning, they can obtain a perfect copy of original unknown state with assistance from different state preparers, respectively. In the first stage of scheme for asymmetry deterministic cyclic controlled assisted cloning, Alice can teleport an arbitrary unknown two-qubit state at distant Bob’s site under the control of Charlie, Bob can teleport an arbitrary unknown four-dimensional single-particle state at distant Charlie’s site under the control of Alice, and Charlie can teleport an arbitrary unknown single-qubit state at distant Alice’s site under the control of Bob simultaneously. They can obtain a perfect copy of original unknown state with assistance from different state preparers in the second stage of scheme for asymmetry deterministic cyclic controlled assisted cloning, respectively.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 9","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142209428","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":"Physically Viable Imperfect Fluid Models of Compact Stars","authors":"Mahesh Kumar, Jitendra Kumar, Ashok Kumar","doi":"10.1007/s10773-024-05752-2","DOIUrl":"10.1007/s10773-024-05752-2","url":null,"abstract":"<div><p>In this manuscript, we present a novel approach to constructing a distinct anisotropic solution for spherically symmetric spacetime. Our investigation focuses on the Buchdahl metric potential to solved Einstein’s field equations, and studied it for the cases of Buchdahl parameter K, when <span>(Knotin [0,1])</span>. We have obtained six different solutions and to show that our models fit with observational data, these solutions are analyzed for some known compact stars like EXO 1785-248, SMC X-1, LMC X-4, Her X-1, SAX J1808.4-3658, 4U 1538-52 and PSR B0941+10. The model satisfies all the physical as well as stability conditions, which verify the validity of the model. We have also explored the hydrostatic equilibrium for an uncharged case using the TOV equation. As strong evidence for more realistic and viable models, we have also provided graphical representations wherever required.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 9","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142209429","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":"The Two-Phases Proposal for Inflation in the Constant-Roll Field with f(Q) Gravity","authors":"K. Kurt, Sukru Gunes, A. I. Keskin","doi":"10.1007/s10773-024-05758-w","DOIUrl":"10.1007/s10773-024-05758-w","url":null,"abstract":"<div><p>In this study, we discuss the evolution of the high-energy era of the universe in the background of <i>f</i>(<i>Q</i>) gravity. For this purpose, the constant-roll condition is considered in the early universe dynamics. After the unified solution of the field equations, the early universe era is analyzed through model parameters in the framework of the constant-roll inflationary field. Along with it is compatible with the observation data, it has been determined that the universe evolved from the initial quasi-de Sitter vacuum state to a quintessence vacuum within the framework of observational data. It is observed that this occurs when the constant-roll parameter is fixed in the parameter space.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 9","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142209435","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":"Insights into the time Fractional Belousov-Zhabotinsky System Arises in Thermodynamics","authors":"M. L. Rupa, K. Aruna, K. Raghavendar","doi":"10.1007/s10773-024-05770-0","DOIUrl":"10.1007/s10773-024-05770-0","url":null,"abstract":"<div><p>This article employs the Shehu Adomian decomposition method to derive approximate solutions for the time-fractional Belousov-Zhabotinsky system, a phenomenon prevalent in the field of thermodynamics. This model offers a deep understanding of the core principles of nonlinear dynamics in intricate systems. This model is additionally employed to investigate bifurcations, chaotic dynamics, and other nonlinear phenomena in chemical processes. The advantage of the suggested method is that, unlike the usual Adomian process, it doesn’t involve figuring out the fractional derivative or integrals in the recursive mechanism. This makes it simple to evaluate series terms. We present Caputo, Caputo-Fabrizio, and Atangana-Baleanu in the Caputo sense fractional derivatives with the proposed method to enhance the comprehension of this intricate mechanism. We have presented various 2D and 3D graphical visualizations of the obtained solutions to demonstrate the model behaviour and the effects of the derived results by varying the fractional order. The obtained results are highly consistent with the q-homotopy analysis transform method, the fractional reduced differential transform method, and the double Laplace transform method. We also present the convergence and uniqueness of the proposed system. The results obtained with the proposed method indicate that it is simple to implement and computationally very attractive.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 9","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142209434","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":"On the Construction of Hermitian Self-Orthogonal Codes Over (F_9) and Their Application","authors":"Zhihao Li, Ruihu Li, Chaofeng Guan, Hao Song","doi":"10.1007/s10773-024-05761-1","DOIUrl":"10.1007/s10773-024-05761-1","url":null,"abstract":"<div><p>We construct a lot of optimal or near-optimal <span>([n,k,d]_9)</span> Hermitian self-orthogonal codes for <span>(kle 3)</span> using norm codes and matrix combinatorial construction method. As an application, we construct nine families of entanglement-assisted quantum error-correcting codes. Some of these codes can achieve <i>q</i>-ary linear EA-Griesmer bound with better parameters than those in the literature.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 9","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142209436","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}