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PT-Symmetric SU(2) - like Random Matrix Ensembles: Invariant Distributions and Spectral Fluctuations pt对称类SU(2) -随机矩阵系综：不变分布和谱波动
IF 1.3 4区 物理与天体物理
International Journal of Theoretical Physics Pub Date : 2025-04-25 DOI: 10.1007/s10773-025-05931-9
Stalin Abraham, A. Bhagwat, Sudhir Ranjan Jain
{"title":"PT-Symmetric SU(2) - like Random Matrix Ensembles: Invariant Distributions and Spectral Fluctuations","authors":"Stalin Abraham,&nbsp;A. Bhagwat,&nbsp;Sudhir Ranjan Jain","doi":"10.1007/s10773-025-05931-9","DOIUrl":"10.1007/s10773-025-05931-9","url":null,"abstract":"<div><p>We consider an ensemble of <span>(2times 2)</span> normal matrices with complex entries representing operators in the quantum mechanics of 2 - level parity-time reversal (PT) symmetric systems. The randomness of the ensemble is endowed by obtaining probability distributions based on symmetry and statistical independence. The probability densities turn out to be power law with exponents that depend on the boundedness of the domain. For small spacings, <span>(sigma )</span>, the probability density varies as <span>(sigma ^{nu })</span>, <span>(nu ge 2)</span>. The degree of level repulsion is a parameter of great interest as it makes a connection to quantum chaos; the lower bound of <span>(nu )</span> for our ensemble coincides with the Gaussian Unitary Ensemble. We believe that the systematic development presented here paves the way for further generalizations in the field of random matrix theory for PT-symmetric quantum systems.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 5","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10773-025-05931-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143871389","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}
引用次数: 0
A New (mathbb {Z}_3)-Graded Quantum Space And Its Geometry 一个新的(mathbb {Z}_3) -梯度量子空间及其几何
IF 1.3 4区 物理与天体物理
International Journal of Theoretical Physics Pub Date : 2025-04-24 DOI: 10.1007/s10773-025-05947-1
Sultan A. Çelik, Ayse Peker-Dobie, Fatma Bulut, İlknur Temli
{"title":"A New (mathbb {Z}_3)-Graded Quantum Space And Its Geometry","authors":"Sultan A. Çelik,&nbsp;Ayse Peker-Dobie,&nbsp;Fatma Bulut,&nbsp;İlknur Temli","doi":"10.1007/s10773-025-05947-1","DOIUrl":"10.1007/s10773-025-05947-1","url":null,"abstract":"<div><p>In this article, we initially define an <i>R</i>-matrix with rank 9. Through the application of the \"quantum group relation\", we derive a <span>(mathbb {Z}_3)</span>-graded quantum group, denoted by <span>(widetilde{GL}_q(1|1|1))</span>, representing the group of <span>(3times 3)</span> matrices. By introducing a <span>(mathbb {Z}_3)</span>-graded quantum space, denoted by <span>(widetilde{mathbb {C}}_q^{1|1|1})</span>, along with its exterior algebra, we formulate two <span>(mathbb {Z}_3)</span>-graded differential calculi which are covariant with respect to the <span>(mathbb {Z}_3)</span>-graded Hopf algebra of functions on the <span>(mathbb {Z}_3)</span>-graded quantum group <span>(widetilde{GL}_q(1|1|1))</span>.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 5","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143865442","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}
引用次数: 0
Temporal Reversibility of Reactive Systems Out of Equilibrium: Molecular Dynamics Simulation 非平衡反应系统的时间可逆性：分子动力学模拟
IF 1.3 4区 物理与天体物理
International Journal of Theoretical Physics Pub Date : 2025-04-22 DOI: 10.1007/s10773-025-05980-0
O. Politano, Alejandro L. Garcia, F. Baras, M. Malek Mansour
{"title":"Temporal Reversibility of Reactive Systems Out of Equilibrium: Molecular Dynamics Simulation","authors":"O. Politano,&nbsp;Alejandro L. Garcia,&nbsp;F. Baras,&nbsp;M. Malek Mansour","doi":"10.1007/s10773-025-05980-0","DOIUrl":"10.1007/s10773-025-05980-0","url":null,"abstract":"<div><p>The second law of thermodynamics states that entropy production in macroscopic systems is non-negative, reaching zero only at thermodynamic equilibrium. As a corollary, this implies that the state trajectory of macroscopic systems is inherently time-irreversible under out-of-equilibrium conditions. However, over the past half-century, various studies have shown that this principle does not universally apply to the composition sample paths of certain isothermal reactive systems. Theoretical frameworks leading to this surprising observation primarily focus on perfectly homogeneous systems (often referred to as zero-dimensional systems), which inherently exclude the effects of local fluctuations. This oversimplification may account for the paradoxical theoretical predictions. In the absence of relevant experimental data, this paper seeks to explore this phenomenon through microscopic simulations.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 5","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143861371","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}
引用次数: 0
Non-Degenerate Solitons and Dynamic Analysis of the Generalized High-Order Coupled Nonlinear Schrödinger system with Modulating Coefficients in Inhomogeneous Media 非均匀介质中具有调制系数的广义高阶耦合非线性Schrödinger系统的非简并孤子与动力学分析
IF 1.3 4区 物理与天体物理
International Journal of Theoretical Physics Pub Date : 2025-04-22 DOI: 10.1007/s10773-025-05985-9
Xingye Wang, Ben Gao
{"title":"Non-Degenerate Solitons and Dynamic Analysis of the Generalized High-Order Coupled Nonlinear Schrödinger system with Modulating Coefficients in Inhomogeneous Media","authors":"Xingye Wang,&nbsp;Ben Gao","doi":"10.1007/s10773-025-05985-9","DOIUrl":"10.1007/s10773-025-05985-9","url":null,"abstract":"<div><p>In this paper, we investigate the generalized high-order coupled nonlinear Schrödinger system with modulating coefficients which is used to describe the optical pulses in inhomogeneous media. This work makes two fundamental advances: first, we rigorously derive the Hirota bilinear representation of this system, previously unreported in the literature; second, we use a novel parameter truncation method that enables to obtain the non-degenerate soliton solutions. Specifically, non-degenerate one-, two-soliton solutions are successfully obtained for the first time. Based on inference, we obtain the forms of non-degenerate <i>N</i>-soliton solutions for this system. In addition, by controlling high-order dispersion and self-steepening shift effect, <i>u</i>-shape, <i>v</i>-shape, <i>w</i>-shape, and other shapes of double-hump figures can also be provided. Finally, after selecting appropriate parameters, we analyse the dynamic behaviors of non-degenerate solitons during collisions.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 5","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143856495","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}
引用次数: 0
Encrypted Quantum Controlled Teleportation Protocol 加密量子控制隐形传态协议
IF 1.3 4区 物理与天体物理
International Journal of Theoretical Physics Pub Date : 2025-04-21 DOI: 10.1007/s10773-025-05973-z
Muhammad Taufiqi, Agus Purwanto, Bintoro Anang Subagyo, Heru Sukamto, Lila Yuwana
{"title":"Encrypted Quantum Controlled Teleportation Protocol","authors":"Muhammad Taufiqi,&nbsp;Agus Purwanto,&nbsp;Bintoro Anang Subagyo,&nbsp;Heru Sukamto,&nbsp;Lila Yuwana","doi":"10.1007/s10773-025-05973-z","DOIUrl":"10.1007/s10773-025-05973-z","url":null,"abstract":"<div><p>In this work, we proposed an encrypted quantum controlled teleportation protocol as an extension of the previous work in https://doi.org/10.1007/s10773-023-05278-z. We add a controller to the protocol so that the security is better on the senders and receiver side, i.e., it is more difficult for them to steal the actual information away. We also reevaluate the protocol to optimize the probability and fidelity value and show that it can achieve a unit probability with an acceptable fidelity value. The novelty of the protocol is the increased security under the “steal-away” attack on both the sender and receiver’s side, which is neglected in other existing protocols.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 5","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143852483","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}
引用次数: 0
Imprint of Operator Ordering on the Quantum Nature of DeWitt-regular Black Holes 算子序在dewitt -正则黑洞量子性质上的印记
IF 1.3 4区 物理与天体物理
International Journal of Theoretical Physics Pub Date : 2025-04-21 DOI: 10.1007/s10773-025-05982-y
Harpreet Singh, Malay K. Nandy
{"title":"Imprint of Operator Ordering on the Quantum Nature of DeWitt-regular Black Holes","authors":"Harpreet Singh,&nbsp;Malay K. Nandy","doi":"10.1007/s10773-025-05982-y","DOIUrl":"10.1007/s10773-025-05982-y","url":null,"abstract":"<div><p>In making a transition from classical to quantum mechanics in the canonical framework, operator ordering in the Hamiltonian of a non-trivial system plays a crucial role. Such is the case in formulating a Wheeler-DeWitt equation from the classical Hamiltonian of a black hole. In this paper, we therefore study the critical role of operator ordering controlled by a parameter while obtaining the Wheeler-DeWitt equation from a Kantowski-Sachs representation of the black hole interior. Upon solving the Wheeler-DeWitt equation, we find that the solutions reveal the critical role played by operator ordering. Notably, the solutions uncover the following important consequences: (1) The black hole interior wave function categorizes itself into three different classes, with wide domains for the operator ordering parameter in consistency with the DeWitt criterion. (2) The DeWitt-regular, asymptotically safe, wave functions are intimately related with the operator ordering as they carry imprints of the parameter controlling operator ordering. (3) The DeWitt-regular wave functions give finite and well-behaved expectation values of the Kretschmann curvature in the vicinity of the black hole singularity with reduced but still infinite extent for the operator ordering parameter. We thus find that the black hole singularity can be resolved with infinite ways of choosing operator ordering.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 5","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143852595","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}
引用次数: 0
A Dagger Kernel Category of Complete Orthomodular Lattices 完全正交格的匕首核范畴
IF 1.3 4区 物理与天体物理
International Journal of Theoretical Physics Pub Date : 2025-04-21 DOI: 10.1007/s10773-025-05965-z
Michal Botur, Jan Paseka, Richard Smolka
{"title":"A Dagger Kernel Category of Complete Orthomodular Lattices","authors":"Michal Botur,&nbsp;Jan Paseka,&nbsp;Richard Smolka","doi":"10.1007/s10773-025-05965-z","DOIUrl":"10.1007/s10773-025-05965-z","url":null,"abstract":"<div><p>Dagger kernel categories, a powerful framework for studying quantum phenomena within category theory, provide a rich mathematical structure that naturally encodes key aspects of quantum logic. This paper focuses on the category <span>({textbf {SupOMLatLin}})</span> of complete orthomodular lattices with linear maps. We demonstrate that <span>({textbf {SupOMLatLin}})</span> itself forms a dagger kernel category, equipped with additional structure such as dagger biproducts and free objects. A key result establishes a concrete description of how every morphism in <span>({textbf {SupOMLatLin}})</span> admits an essentially unique factorization as a zero-epi followed by a dagger monomorphism. This factorization theorem, along with the dagger kernel category structure of <span>({textbf {SupOMLatLin}})</span>, provides new insights into the interplay between complete orthomodular lattices and the foundational concepts of quantum theory.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 5","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143852580","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}
引用次数: 0
Sensing Gravity with Polarized Electromagnetic Radiation 用极化电磁辐射感应重力
IF 1.3 4区 物理与天体物理
International Journal of Theoretical Physics Pub Date : 2025-04-21 DOI: 10.1007/s10773-025-05978-8
Kjell Tangen
{"title":"Sensing Gravity with Polarized Electromagnetic Radiation","authors":"Kjell Tangen","doi":"10.1007/s10773-025-05978-8","DOIUrl":"10.1007/s10773-025-05978-8","url":null,"abstract":"<div><p>Polarization wiggling is an observational effect of a gravitational field on the polarization of electromagnetic radiation traversing it. We find that in linear gravity, the polarization wiggle rate contributions from scalar, vector and tensor perturbations are independent and gauge invariant. While vector and tensor perturbations do induce polarization wiggling, scalar perturbations do not. This poses two natural questions: Can polarized electromagnetic radiation be used to measure vectorial and tensorial components of gravitational fields directly? And if so, how? Polarization wiggling is studied for an arbitrary vector perturbation to the spacetime metric. In a stationary spacetime, the polarization wiggle rate is proportional to the difference in frame dragging rate around the direction of propagation between radiation emission and measurement events. We show how this can be used to measure the angular momentum of a gravitational source if the emitter orbits the gravitational source on a known orbit. Finally, the polarization wiggling effect induced by a gravitational tensor mode with arbitrary polarization is analyzed. The effect is demonstrated for two cases: A spacetime with a flat Minkowski background and an expanding cosmology with a conformally flat background. In both cases, the polarization wiggling frequency equals the frequency of the gravitational tensor mode, while the other state parameters of the gravitational tensor mode are encoded in the polarization wiggling amplitude and phase of the polarized radiation. We show that measurements of polarization wiggling frequency, amplitude and phase of polarized electromagnetic radiation emitted by multiple sources at known positions from different directions enables all state parameters of a gravitational tensor mode to be determined.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 5","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143852581","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}
引用次数: 0
Weak Semileptonic Decays of Vector Mesons in the NJL Model NJL模型中矢量介子的弱半光子衰减
IF 1.3 4区 物理与天体物理
International Journal of Theoretical Physics Pub Date : 2025-04-15 DOI: 10.1007/s10773-025-05975-x
M. K. Volkov, A. A. Pivovarov, K. Nurlan
{"title":"Weak Semileptonic Decays of Vector Mesons in the NJL Model","authors":"M. K. Volkov,&nbsp;A. A. Pivovarov,&nbsp;K. Nurlan","doi":"10.1007/s10773-025-05975-x","DOIUrl":"10.1007/s10773-025-05975-x","url":null,"abstract":"<div><p>The decay widths of <span>(V rightarrow K(pi ) l bar{nu }_l )</span> are calculated within the Nambu–Jona-Lasinio model, where <span>(V=K^*, rho , omega , phi )</span> and <span>(l=mu , e)</span>. The results are obtained using the previously fixed model parameters without introducing any arbitrary parameters. The obtained results are considered as predictions due to the absence of experimental data.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 4","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143830684","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}
引用次数: 0
Monte Carlo Investigation of Hysteresis Cycles and Magnetization Plateau in C60 Fullerene-Like System Using the Blume–Emery–Griffiths Model 用blme - emery - griffiths模型研究C60类富勒烯体系的磁滞周期和磁化平台
IF 1.3 4区 物理与天体物理
International Journal of Theoretical Physics Pub Date : 2025-04-15 DOI: 10.1007/s10773-025-05976-w
R. El Fdil, Hussein. Sabbah, Abdulrahman A. Alsayyari, Z. Fadil, Chaitany Jayprakash Raorane, Seong Cheol Kim, S. Saadaoui, E. Salmani, H. Ez-Zahraouy
{"title":"Monte Carlo Investigation of Hysteresis Cycles and Magnetization Plateau in C60 Fullerene-Like System Using the Blume–Emery–Griffiths Model","authors":"R. El Fdil,&nbsp;Hussein. Sabbah,&nbsp;Abdulrahman A. Alsayyari,&nbsp;Z. Fadil,&nbsp;Chaitany Jayprakash Raorane,&nbsp;Seong Cheol Kim,&nbsp;S. Saadaoui,&nbsp;E. Salmani,&nbsp;H. Ez-Zahraouy","doi":"10.1007/s10773-025-05976-w","DOIUrl":"10.1007/s10773-025-05976-w","url":null,"abstract":"<div><p>This study employs the Blume–Emery–Griffiths model and Monte Carlo simulations to analyze the magnetization plateaus and hysteresis cycles in a <i>C</i><sub>60</sub> fullerene-like system. The behavior of these hysteresis cycles and magnetization plateaus is significantly influenced by key factors such as temperature (<i>T</i>), crystal field (<i>D</i>), bilinear exchange coupling (<i>J</i>), and biquadratic exchange coupling (<i>K</i>). Our results enhance the understanding of the magnetic properties of the <i>C</i><sub>60</sub> fullerene-like system and provide new insights into the complex interactions governing hysteresis cycles and magnetization plateaus. These findings have important implications for future advancements in nanotechnology and spintronics.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 4","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143830683","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}
引用次数: 0
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