International Journal of Theoretical Physics最新文献

{"title":"Secure Quantum Summation with Two Degrees of Freedom United as a Single Entity","authors":"Yan-Feng Lang,&nbsp;Cheng-Cheng Cai","doi":"10.1007/s10773-024-05867-6","DOIUrl":"10.1007/s10773-024-05867-6","url":null,"abstract":"<div><p>Secure quantum summation (SQS) can summate private data and meanwhile keep their privacy. It plays an essential role in the field of secure multi-party computation. There are a couple of SQS protocols whose quantum resource is single photons in both polarization and spatial-mode degrees of freedom. This kind of SQS protocols has a point in common that they use the two degrees of polarization and spatial-mode in the same way. Instead, this paper taps them in an innovative method, they fulfilling different tasks and forming an organic whole in quantum communication. Compared to the ready sister protocols, this method brings about great benefits: not only maintaining the original communication capacity, but also making the presented protocol simpler and more secure without the need of pre-shared keys to block the intercept-resend attack, because this work makes a full use of its inherent security attributes. Consequently, this work can be considered as a more ideal SQS.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 12","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142859453","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":"Static Properties of Prewetting Phase in Binary Mixtures of Bose-Einstein Condensates","authors":"Pham Duy Thanh,&nbsp;Nguyen Van Thu","doi":"10.1007/s10773-024-05863-w","DOIUrl":"10.1007/s10773-024-05863-w","url":null,"abstract":"<div><p>In this study, using the Gross-Pitaevskii (GP) theory under the double parabola approximation, we examine the static properties of the prewetting phase in a two-component Bose-Einstein condensates (BECs) adsorbed at an optical wall at zero temperature. The Schrödinger-like equation is solved analytically, providing an exact relation that describes the nucleation line. From the analytical solution of the ground state wave functions obtained from GP theory within double parabola approximation, the analytical relation for thickness of the prewetting layer is derived. Our results demonstrate that, in sufficiently large regions, this thickness is dependent on both the control parameter and the ground state energy of the condensate 2. Notably, in a logarithmic scale of the ground state energy, the thickness behaves as a linear function, with coefficients that depend solely on the control parameter. Furthermore, we analyze the thermodynamic contact angle, surface, and interfacial tensions. Remarkably, the analytical expressions for the cosine of the thermodynamic contact angle in the limits of the segregated-phase are obtained. These findings may contribute to the design of experiments aimed at observing the wetting phenomenon in BECs.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 12","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-12-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142845076","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":"Nonlocal General Generalized Thermoelastic Interaction in a Rod with Memory Response","authors":"Sudip Mondal,&nbsp;Abhik Sur","doi":"10.1007/s10773-024-05852-z","DOIUrl":"10.1007/s10773-024-05852-z","url":null,"abstract":"<div><p>In order to address the non-Fourier heat conduction phenomena for thermomass gas flow, the aim of the present contribution is to construct a new theory of generalized thermoelasticity for thermomass gas flow assimilating low velocity and linear resistance based on the generalized non-Fourier theory of heat conduction with memory responses. The effect of resistance has been included in the general heat conduction equation, which is based on the total derivative of the thermomass gas velocity. The constitutive equation has been formulated using the nonlocal theory proposed by Eringen. The governing equations have been solved for a thermoelastic rod, where both the boundary is free of traction and the left boundary is subjected to a thermal shock, while on the right boundary, there is no temperature. The problem is solved by means of the Laplace transform mechanism. In order to achieve the solutions in real space-time domain, a viable simulation has been carried out for the numerical inversion of the Laplace transform using the method of Zakian. The latest findings illustrate the contrasts between different kernel function of the heat transport process. The stability of the proposed model has been validated. The numerical results validate the superiority of the present revolutionary thermoelastic model over the existing one. The superiority of non-local behavior is also reported to accommodate the effect of thermomass within the medium. Finally, it may be said that it is beneficial to formulate the heat transport law involving various kernel as per the necessity of the physical situation.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 12","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142844728","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":"Comparison Study of Dynamical System Using Different Kinds of Fractional Operators","authors":"Tasmia Roshan,&nbsp;Surath Ghosh,&nbsp;Sunil Kumar","doi":"10.1007/s10773-024-05859-6","DOIUrl":"10.1007/s10773-024-05859-6","url":null,"abstract":"<div><p>The dynamical system is one of the major research subjects, and many researchers and experts are attempting to evolve new models and approaches for its solution due to its vast applicability. Applied mathematics has been used to anticipate the chaotic behavior of some attractors using a novel operator termed fractal-fractional derivatives. They were made operating three distinct kernels: power low, exponential decay, and the generalized Mittag Leffler function. There are two parameters in the new operator. Fractional order is the first, while fractal dimension is the second. These derivatives will manage to detect self-similarities in chaotic attractors. We provided numerical approaches for solving such a nonlinear differential equation system. The solution’s existence and uniqueness are determined. Bifurcation analysis is also presented briefly. These new operators were tested in the chaotic attractor with numerical simulations for varied fractional order and fractal dimension, and the findings were quite interesting. We believe that this new notion is the way to go for modeling complexes with self-similarities in the future.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 12","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10773-024-05859-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142826416","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":"Randomness Certification based on the Modified Tilted-Bell Inequalities","authors":"Wenjie Wang,&nbsp;Fenzhuo Guo,&nbsp;Sujuan Qin","doi":"10.1007/s10773-024-05858-7","DOIUrl":"10.1007/s10773-024-05858-7","url":null,"abstract":"<div><p>Bell inequalities must be satisfied by any local and realistic theory. The violation of Bell inequalities paves the way for randomness certification. The maximum amount of randomness that can be generated theoretically is closely related to the state of the system and the number of possible outcomes of the measurements. In a Bell test scenario involving two-outcome measurements on two-qubit entangled states, up to 2 bits of global randomness can be generated in principal. In this paper, we propose a new family of modified tilted-Bell inequalities (MTBI). Through singular value decomposition, we derive the maximal value of MTBI and the optimal measurements strategy for arbitrary partially entangled two-qubit state. Additionally, an analytical relationship between the entangled state parameter and the tilting parameters of the MTBI is derived to certify randomness. 2 bits of global randomness can be achieved from both the almost unentangled two-qubit state and the maximally entangled two-qubit state. We use relatively few measurements, which contributes to improving experimental efficiency and reducing noise interference.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 12","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142821450","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":"Quantum and Statistical Properties of a Non-degenerate Three-Level Laser Pumped by Electron Bombardment and Coupled to a Two-Mode Thermal Reservoir","authors":"Aliyyi Adem","doi":"10.1007/s10773-024-05848-9","DOIUrl":"10.1007/s10773-024-05848-9","url":null,"abstract":"<div><p>This study investigates the quantum and statistical properties of light generated by a non-degenerate three-level laser system, where atoms are continuously pumped to the top energy level through electron bombardment in an open cavity coupled to a two-mode thermal reservoir. By applying the large-time approximation, we derive steady-state solutions to the quantum Langevin equations for the cavity mode operators and the evolution equations for the expectation values of the atomic operators. Our findings demonstrate that the mean photon number, photon number variance, squeezing, entanglement, and normalized second-order correlation function of the two-mode cavity light in the steady state are significantly affected by the initial seeding of thermal light <span>(langle n_{th} rangle )</span> and the spontaneous emission rate. Specifically, we observe that the mean photon number in the cavity decreases with increasing <span>(langle n_{th} rangle )</span>, suggesting that thermal effects contribute to photon loss or redistribution. In contrast, the absence of thermal light results in a higher mean photon number, indicating a more stable cavity light state. The photon number variance <span>((Delta n)^2)</span> increases rapidly with the pumping rate <span>(r_a)</span>, with thermal light having a low impact at higher rates. A higher spontaneous emission rate <span>(gamma )</span> reduces fluctuations, lowering the variance’s saturation level. Quadrature squeezing is negatively impacted by both initial thermal light and spontaneous emission, with maximum squeezing values of 44% and 50% achieved for <span>(langle n_{th} rangle = 0.1)</span> and <span>(langle n_{th} rangle = 0)</span>, respectively. Photon entanglement also diminishes as the spontaneous emission decay constant and initial thermal light increase, emphasizing the interplay between these factors and the degree of photon entanglement. Additionally, the second-order correlation function <span>(g^{(2)}(a,b)(0))</span> consistently decreases with increasing <span>(r_a)</span>, regardless of the presence of initial thermal light. These insights have significant implications for advancing quantum technologies, such as quantum communication where controlled squeezing and entanglement enhance secure communication channels and improve signal to noise ratios as well as quantum computing and quantum sensing.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 12","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142810838","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":"Dynamics of Quantum Correlation in Two-Qubit Heisenberg XYZ Hamiltonian With Nonuniform Magnetic Field","authors":"Su-Bok Ri,&nbsp;Gwang-Jin Kim,&nbsp;Ha Kim","doi":"10.1007/s10773-024-05842-1","DOIUrl":"10.1007/s10773-024-05842-1","url":null,"abstract":"<div><p>In this paper we investigate the quantum correlation(geometric quantum discord and quantum entanglement) in two-qubit Heisenberg XYZ Hamiltonian with Dzyaloshinskii-Moriya interaction and Kaplan–Shekhtman–Entin-Wohlman–Aharony interaction under the effect of nonuniform external magnetic field. Here, we calculate the effect of nonuniform magnetic field, exchange interaction <span>({J}_{x},{J}_{y},{J}_{z})</span>, Dzyaloshinskii –Moriya interaction <span>(D)</span> and Kaplan–Shekhtman–Entin-Wohlman–Aharony interaction <span>(Gamma)</span> on the quantum correlation`dynamics in case of the antiferromagnetism. The results obtained reveal that the nonuniform part of the external magnetic field plays the important role in the preservation of quantum correlation. Also, it is shown that the geometric quantum discord is more robust than the quantum entanglement and the effect of the different parameters on the quantum correlation` dynamic depend noticeably on choice of initial state.</p><h3>Graphical Abstract</h3><p>In Fig. 13, we indicate the time evolution of GQD and QE for various <span>(b=1,1.5,2,4)</span> with <span>(=0.99,gamma =1,{J}_{x}=2,{J}_{y}=1.5,,{J}_{z}=1,D=0.5,Gamma =0.2,B=1)</span>.</p>\u0000<div><figure><div><div><picture><source><img></source></picture></div></div></figure></div></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 12","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142810839","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 Non-Equilibrium Temperature Beyond Local Equilibrium Assumption","authors":"Zheng-Chuan Wang","doi":"10.1007/s10773-024-05846-x","DOIUrl":"10.1007/s10773-024-05846-x","url":null,"abstract":"<div><p>We propose a non-equilibrium temperature for the particles transporting through its surroundings, which is expressed by the distribution function of a temperature dependent Vlasov equation, where we haven’t adopted the local equilibrium hypothesis but introduced a equilibrium temperature by the surroundings. A temperature dependent damping force and a inverse damping relaxation time are obtained based on the Vlasov equation, which can be regarded as corrections on the external force and the relaxation time of transport procedure. The relation between the non-equilibrium temperature of transport particles and the equilibrium temperature of surroundings is established, too. There exist heat transfer between the transport particles out of equilibrium and the surroundings in equilibrium. Finally, we illustrate them by a system of one-dimensional charge transport.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 12","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142811091","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":"Quantum Entanglement in Classical Systems: so what is the Subquantum Medium Made of?","authors":"Guillaume Attuel","doi":"10.1007/s10773-024-05851-0","DOIUrl":"10.1007/s10773-024-05851-0","url":null,"abstract":"<div><p>As astounding as it may still seem to many, Bell’s theorems do not prove nonlocality. Non separable multipartite objects exist classically, meaning with local physics, the statistical state measurement of which violates the famous inequalities. Alleviating the almost century old confusion, the correct laws of statistics and logic pinpoint the true oddity of quantum objects: duality. As it is shown in the first part of this short essay, duality plus conservation laws allow the violation of Bell’s inequalities for any spatio-temporal separation. To dig deeper into particle dualism, in the second part, a class of models is proposed as a working framework. It encompasses some chaotic excitable reaction-diffusion systems, whose generalized susceptibilities make them compatible with quantized fields and excitations, of any desired symmetry group including the renormalization semigroup. Particles are supposed topological in nature. Bohr-Sommerfeld quantization takes place thanks to topological invariants stemming from densely dispersed defects generated by a multifractal background. Entanglement phenomenology arises because latent variables exist that are carried away, along with the moving particles that have interacted, and by which correlations are preserved. Conservation is assumed to be born in the phase, just as momentum is for instance. In other words, all known phenomena in physics are deterministic, classical and real, in the sense that information does propagate locally and experiments conducted statistically do hide latent variables.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 12","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10773-024-05851-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142811150","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":"Swampland Conjectures and Noncommutative Phase Space in the Constant-roll Inflation with Brans-Dicke Cosmology","authors":"Jafar Sadeghi,&nbsp;Saeed Noori Gashti,&nbsp;Mohammad Reza Alipour,&nbsp;Mohammad Ali S. Afshar","doi":"10.1007/s10773-024-05803-8","DOIUrl":"10.1007/s10773-024-05803-8","url":null,"abstract":"<div><p>In this paper, we aim to challenge concepts such as constant-roll inflation, noncommutative parameters <span>((theta ))</span>, and Brans-Dicke cosmology. So, we first calculate the Hamiltonian of the modified Brans-Dicke gravitational model in noncommutative space. Using the constant-roll condition, we then calculate analytical solutions for certain cosmological parameters, such as the Hubble parameter and the potential. We also analyze the behavior of noncommutative parameters in the context of Brans-Dicke cosmology and constant-roll conditions. Finally, we investigate the validation of the swampland dS conjecture and present our results in detail.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 12","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142798472","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}