{"title":"Thin Layer Quantization Method for a Spin Particle on a Curved Surface","authors":"S. Kimouche, N. Ferkous","doi":"10.1007/s10773-024-05856-9","DOIUrl":"10.1007/s10773-024-05856-9","url":null,"abstract":"<div><p>Using the fundamental framework of the thin-layer quantization method, we discuss the non-relativistic limit of the Schrödinger-Dirac equation for a particle constrained to move on a curved surface. We show that the inclusion of spin connections in the formalism give rise to scalar terms which provide a new scalar geometric potential. The coupling between the spin connections determined by the geometry of the curved surface and the spin of the particle can generate bound states even for the repulsive case of this obtained geometric potential. The developed procedure is applied to a surface of axial symmetry. We give three interesting examples of surface confinement, namely cylindrical, spherical and conical, and we explicitly deduce the energy levels for each case.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 12","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142870306","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}
S. Hassanabadi, J. Kříž, B. C. Lütfüoğlu, W. S. Chung, P. Sedaghatnia, H. Hassanabadi
{"title":"Solutions of the Generalized Dunkl-Schrödinger Equation for Harmonic and Coulomb Potentials in two Dimensions","authors":"S. Hassanabadi, J. Kříž, B. C. Lütfüoğlu, W. S. Chung, P. Sedaghatnia, H. Hassanabadi","doi":"10.1007/s10773-024-05862-x","DOIUrl":"10.1007/s10773-024-05862-x","url":null,"abstract":"<div><p>The recent generalization of the Dunkl operator, incorporating six parameters, offers a refined approach to bridging theoretical models and experimental observations. In this study, we apply the fully generalized Dunkl derivatives to solve two cornerstone quantum mechanical problems-the harmonic oscillator and the Coulomb potential-in the non-relativistic context. Our analysis begins with the systems formulated in two-dimensional Cartesian coordinates, followed by a transition to polar coordinates to achieve angular solutions. For the radial component, we identify a required constraint that reduces the set of Wigner parameters by one. This leads to the determination of the radial eigenfunctions and the corresponding energy spectra for both systems, all within the non-relativistic context. Our analysis reveals that the Wigner parameters significantly influence the probability densities, altering the localization of the particle within the potential and highlighting the role of parity in shaping the radial distribution.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 12","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142870488","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 New Quantum Correlation Measure Induced by Projection Measurement","authors":"Junqing Li, Shuo Dong, Jianhua Wei","doi":"10.1007/s10773-024-05865-8","DOIUrl":"10.1007/s10773-024-05865-8","url":null,"abstract":"<div><p>Quantum correlation is a concept in quantum mechanics that describes the correlation between multiple quantum systems or subsystems. It reflects the interdependence between different parts of a quantum state. As an important physical quantity, entropy plays a significant role in the study of quantum correlation, motivated by this idea, we introduce a correlation measure based on the logical entropy, and prove it satisfies the necessary conditions of the given correlation measure, including nonnegativity, invariance under local unitary transformations, adding the auxiliary subsystem correlation measure remains the same. In the end, we obtained the bound of the given correlation measure.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 12","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142870483","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":"Majorana Representation for the Mutilevel Adiabatic-impluse Model","authors":"Z. Y. Wang, A. X. Xie, H. D. Liu","doi":"10.1007/s10773-024-05849-8","DOIUrl":"10.1007/s10773-024-05849-8","url":null,"abstract":"<div><p>The Landau-Zener-Stückelberg-Majorana (LZSM) transition, which denotes the transition between energy levels at an avoided crossing, has drawn much attention since it was first studied by Landau, Zener, Stückelberg and Majorana in 1932. It has been studied for many years while it is still worthwhile to be studied. In this work, we study the dynamics and stokes phase in multi-level LZSM transition. We reviewed the method given by Zener and Majorana. By comparing the method given by Zener and Majorana in the simulation of the two-level and three-level system’s transition probability, we verified the validity of the adiabatic-impulse model. Then we derive the transition matrix for the multi-level system to predict the multi-level system’s transition probability and Stokes phase and consequently give out the simulation of transition probability and Stokes phase associated with these multi-level transitions. Our results provide a method to study multi-level LZSM interferometry and applications in studying the parameters of multilevel systems.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 12","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142870305","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":"Efficiency at Maximum Power of a Quantum Stirling Heat Engine","authors":"Yangyang Yuan","doi":"10.1007/s10773-024-05860-z","DOIUrl":"10.1007/s10773-024-05860-z","url":null,"abstract":"<div><p>In both the classical and quantum fields, the efficiency at maximum power(EMP) of low-dissipation Carnot heat engines has been extensively studied. However, research on low-dissipation Stirling heat engines has never been done before. We use a two-level system as the working substance to construct a non regenerative quantum Stirling heat engine. In the range of low dissipation, we find that controlling the heat exchange of the working substance during the isochoric process can make the EMP upper bound of the Stirling engine exceed that of the Carnot engine. In addition, we also compare the efficiency of the heat engine in the high-temperature region and the low-temperature region in the case of symmetrical dissipation. The results obtained indicate that the heat engine operating in the high temperature region has an advantage over the low temperature region.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 12","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142859604","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 Note on Geometric Imaginarity","authors":"Tiantian Xia, Jianwei Xu, Ming-Jing Zhao","doi":"10.1007/s10773-024-05866-7","DOIUrl":"10.1007/s10773-024-05866-7","url":null,"abstract":"<div><p>The imaginarity theory emphasizes the significant role of imaginary component in quantum information. We study the geometric imaginarity which characterizes the imaginarity geometrically. We derive the analytical formulae of the geometric imaginarity for mixed states in qubit systems and X states in high dimensional systems. We also study the evolution of the geometric imaginarity under the action of bit flip channel, phase flip channel and amplitude damping channel. The results show that the geometric imaginarity are contractive under these three quantum channels.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 12","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142859605","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}
Ke-Qin Chen, Bin-Bin Cai, Song Lin, Xiao-Chen Zhang
{"title":"Hierarchical Quantum Secret Sharing Based On Quantum Fourier Transform","authors":"Ke-Qin Chen, Bin-Bin Cai, Song Lin, Xiao-Chen Zhang","doi":"10.1007/s10773-024-05864-9","DOIUrl":"10.1007/s10773-024-05864-9","url":null,"abstract":"<div><p>Quantum secret sharing is an important branch of quantum cryptography. In this paper, a hierarchical quantum secret sharing protocol is proposed by using quantum Fourier transform and linear homogeneous recurrence relation. The distributor can share quantum states and classical information among participants who are divided into multiple levels. In addition, each participant is required to hold only one share which can be reused during the scheme, thereby enhancing the practicality and efficiency of the proposed scheme. Furthermore, the correctness of the proposed scheme is proved, and the security analysis shows that the presented scheme is resistant to some common external and internal attacks.</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":"142859452","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":"Remote Implementation of Unitary Gates in Terms of Multiqubit Entanglement","authors":"Lingjun Xiong, Ziwei Chen","doi":"10.1007/s10773-024-05850-1","DOIUrl":"10.1007/s10773-024-05850-1","url":null,"abstract":"<div><p>Realizing quantum nonlocal operations is important in quantum computing, quantum information, and quantum cryptography. This study explores probabilistic protocols to achieve high-fidelity nonlocal operation <span>(U_{AB}(lambda )=e^{ilambda sigma _{n_{A}}sigma _{n_{B}}})</span>, <span>(lambda in (0,frac{pi }{2}))</span> particularly investigating their applicability to more general quantum entangled states. This involves collaborative efforts between Alice and Bob, employing local unitary operations and measurements to implement nonlocal gates effectively. What’s more, we also extend the general technique to the case when the entangled quantum state is many-body, and we find that it is possible to realize a many-body nonlocal operation <span>(U_{A_{1}A_{2}cdots A_{N}C}(xi )=e^{ixi sigma _{n_{A_{1}}}sigma _{n_{A_{2}}}cdots sigma _{n_{A_{N}}}sigma _{n_{C}}})</span>, <span>(xi in (0,frac{pi }{2}))</span>. What’s more, we expect to encounter the effects generated by quantum noise in practical applications, but for specific applications we can find appropriate ways to mitigate the effects of quantum noise. In a word, advances in this area suggest promising results, demonstrating the potential to realize complex quantum operations using minimal resources.</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":"142859451","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":"Secure Quantum Summation with Two Degrees of Freedom United as a Single Entity","authors":"Yan-Feng Lang, 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, 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}