{"title":"Repetitive Infection Spreading and Directed Evolution in the Susceptible–Infected–Recovered–Susceptible Model","authors":"Hidetsugu Sakaguchi, Keito Yamasaki","doi":"10.7566/jpsj.93.054801","DOIUrl":"https://doi.org/10.7566/jpsj.93.054801","url":null,"abstract":"We study two simple mathematical models of an epidemic. First, we study the repetitive infection spreading in a simplified susceptible–infected–recovered–susceptible (SIRS) model including the effect of the decay of the acquired immunity. The model is an intermediate of the SIRS model including the recruitment and death terms and the SIR model in which the recovered population is assumed to be never infected again. When the decay rate <i>δ</i> of the acquired immunity is sufficiently low, multiple infection spreading occurs in spikes. The model equation can be reduced to a map when the decay rate <i>δ</i> is sufficiently low, and the spike-like multiple infection spreading is reproduced in the mapping. The period-doubling bifurcation and chaos are found in the simplified SIRS model with seasonal variations. The nonlinear phenomena are reproduced using the map. Next, we study coupled SIRS equations for the directed evolution where the mutation is expressed with a diffusion-type term. A type of reaction–diffusion equation is derived by the continuum approximation for the infected population <i>I</i>. The reaction–diffusion equation with the linear dependence of infection rate on the type space has an exact Gaussian solution with a time-dependent average and variance. The propagation of the Gaussian pulse corresponds to the successive transitions of the dominant variant.","PeriodicalId":17304,"journal":{"name":"Journal of the Physical Society of Japan","volume":"31 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140576412","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}
Muhammad Waseem, Irfan Mahmood, Hira Sohail, Ejaz Hussain, Hosam O. Elansary
{"title":"Quantum Painlevé Second Lax Pair and Quantum (Matrix) Analogues of Classical Painlevé II Equation","authors":"Muhammad Waseem, Irfan Mahmood, Hira Sohail, Ejaz Hussain, Hosam O. Elansary","doi":"10.7566/jpsj.93.054001","DOIUrl":"https://doi.org/10.7566/jpsj.93.054001","url":null,"abstract":"In this article, we present a quantum Painlevé second Lax pair that explicitly involves the Planck constant <i>ħ</i> and an arbitrary field variable <i>v</i> which distinguish it from the existing Flaschka–Newell Painlevé second Lax pair. We show that Flaschka–Newell pair appears as a special case of our quantum Painlevé second Lax pair. It is shown that the compatibility of quantum Painlevé second Lax pair simultaneously yields a quantum Painlevé equation and a quantum commutation relation between field variable <i>v</i> and independent variable <i>z</i>. We also show that the field variable <i>v</i> with different choices yields various analogs of classical Painlevé second equation as matrix Painlevé second equation, derivative matrix Painlevé second equation, and noncommutative Painlevé second equation. Further, we construct the gauge equivalence of quantum Painlevé second Lax pair whose compatibility condition generates a quantum P34 equation involving <i>ħ</i> with power +1 that brings the classical P34 equation close to its quantum analogs as compared to the existing one which carries <i>ħ</i> with power +2.","PeriodicalId":17304,"journal":{"name":"Journal of the Physical Society of Japan","volume":"62 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140589315","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":"Optimized Synthesis of Circuits for Diagonal Unitary Matrices with Reflection Symmetry","authors":"Xinchi Huang, Taichi Kosugi, Hirofumi Nishi, Yu-ichiro Matsushita","doi":"10.7566/jpsj.93.054002","DOIUrl":"https://doi.org/10.7566/jpsj.93.054002","url":null,"abstract":"During the noisy intermediate-scale quantum (NISQ) era, it is important to optimize the quantum circuits in circuit depth and gate count, especially entanglement gates, including the CNOT gate. Among all the unitary operators, diagonal unitary matrices form a special class that plays a crucial role in many quantum algorithms/subroutines. Based on a natural gate set <tex-math space=\"preserve\" version=\"MathJax\">({ text{CNOT},R_{z}} )</tex-math>, quantum circuits for general diagonal unitary matrices were discussed in several previous works, and an optimal synthesis algorithm was proposed in terms of circuit depth. In this paper, we are interested in the implementation of diagonal unitary matrices with reflection symmetry, which has promising applications, including the realization of real-time evolution for first quantized Hamiltonians by quantum circuits. Owing to such a symmetric property, we show that the quantum circuit in the existing work can be further simplified and propose a constructive algorithm that optimizes the entanglement gate count. Compared to the previous synthesis methods for general diagonal unitary matrices, the quantum circuit by our proposed algorithm achieves nearly half the reduction in both the gate count and circuit depth.","PeriodicalId":17304,"journal":{"name":"Journal of the Physical Society of Japan","volume":"89 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140576439","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":"Effect of Quadrupole and Hexadecapole Deformations of Target on Projectile","authors":"Narayanaswamy Manjunatha, Holaly Chandrashekara Shastry Manjunatha, Nagaraj Sowmya, Krishnachari Nagarathnamma Sridhar, Padhmaghatta Somashekaraih Prabhavathi","doi":"10.7566/jpsj.93.054201","DOIUrl":"https://doi.org/10.7566/jpsj.93.054201","url":null,"abstract":"To investigate the effect of the magnitude of deformations on heavy-ion fusion reactions, we have considered reactions in such a way that the deformations of the target varied whereas that of the projectile remained the same. Using an advanced statistical model, we investigated fusion reactions of <sup>4</sup>He+<sup>233–238</sup>U, <sup>48</sup>Ca+<sup>204–208</sup>Pb, and <sup>48</sup>Ca+<sup>240–244</sup>Pu. The influence of quadrupole and hexadecapole deformations on Coulomb potential was considered. The fusion cross-sections and evaporation residue cross-sections studied were in good accord with that of the experiments. As a consequence, a thorough examination of fusion processes like He+U, Ca+Pb, and Ca+Pu demonstrates how quadrupole deformation simultaneously increases fusion and evaporation cross-sections. <i>σ<sub>ER</sub></i> decreases with increasing hexadecapole deformation. Also, to comprehend the many facets of heavy-ion interactions of quadrupole and hexadecapole deformations of target nuclei, substantial deformation research in both theoretical and practical aspects is required.","PeriodicalId":17304,"journal":{"name":"Journal of the Physical Society of Japan","volume":"31 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140576299","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":"Seebeck Effect of Dirac Electrons in Organic Conductors under Hydrostatic Pressure Using a Tight-Binding Model Derived from First Principles","authors":"Yoshikazu Suzumura, Takao Tsumuraya, Masao Ogata","doi":"10.7566/jpsj.93.054704","DOIUrl":"https://doi.org/10.7566/jpsj.93.054704","url":null,"abstract":"The Seebeck coefficient is examined for two-dimensional Dirac electrons in the three-quarter filled organic conductor <i>α</i>-(BEDT-TTF)<sub>2</sub>I<sub>3</sub> [BEDT-TTF denotes bis(ethylenedithio)tetrathiafulvalene] under hydrostatic pressure, where the Seebeck coefficient <i>S</i> is proportional to the ratio of the thermoelectric conductivity <i>L</i><sub>12</sub> to the electrical conductivity <i>L</i><sub>11</sub>, i.e., <i>S</i> = <i>L</i><sub>12</sub>/<i>TL</i><sub>11</sub> with <i>T</i> being the temperature. We present an improved tight-binding model in two dimensions with transfer energies determined from first-principles density functional theory calculations with an experimentally determined crystal structure. The <i>T</i> dependence of the Seebeck coefficient is calculated by adding impurity and electron–phonon scatterings. Noting a zero-gap state due to the Dirac cone, which results in a competition from contributions between the conduction and valence bands, we show positive <i>S<sub>x</sub></i> and <i>S<sub>y</sub></i> at finite temperatures and analyze them in terms of spectral conductivity. The relevance of the calculated <i>S<sub>x</sub></i> (perpendicular to the molecular stacking axis) to the experiment is discussed.","PeriodicalId":17304,"journal":{"name":"Journal of the Physical Society of Japan","volume":"67 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140588767","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":"Magnetic Phase Diagram and Skyrmions of the Hubbard Model on the β-Mn Type Lattice","authors":"Yoshiro Kakehashi","doi":"10.7566/jpsj.93.054702","DOIUrl":"https://doi.org/10.7566/jpsj.93.054702","url":null,"abstract":"Magnetic phase diagram for the Hubbard model on the <i>β</i>-Mn type lattice has been calculated as a function of the Coulomb interaction energy parameter <i>U</i> and the electron number per atom <i>n</i> by using the generalized Hartree–Fock approximation combined with the recursion method for electronic-structure calculations. The ferromagnetic state, the ferrimagnetic state, and the helimagnetic state as well as the 3<i>Q</i> multiple spin density waves (3QMSDW) states have been obtained on the <i>U</i>–<i>n</i> plane. Their detailed structures are examined with use of the Fourier analysis. It is shown that the calculated phase diagram and the Dzyaloshinskii–Moriya interaction elucidate the magnetic interactions for the itinerant-electron skyrmions in transition metal alloys and compounds on the <i>β</i>-Mn type lattice.","PeriodicalId":17304,"journal":{"name":"Journal of the Physical Society of Japan","volume":"59 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140588931","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":"Mottness and Spin Liquidity in a Doped Organic Superconductor κ-(BEDT-TTF)4Hg2.89Br8","authors":"Hiroshi Oike, Hiromi Taniguchi, Kazuya Miyagawa, Kazushi Kanoda","doi":"10.7566/jpsj.93.042001","DOIUrl":"https://doi.org/10.7566/jpsj.93.042001","url":null,"abstract":"It has been more than 40 years since superconductivity was discovered in organic conductors, and the way scientists view organic superconductors has changed over time. First, the fact that organic conductors exhibit superconductivity was a novelty in itself, and subsequently, it was shown that behind the superconductivity is the physics of electron correlation, which has been a focus in condensed matter physics at large. Amid the marked development of correlation physics, the unique characteristics of organic conductors, e.g., a variety of lattice geometries and the highly compressible feature, led to the elucidation of fundamental principles and the finding of new phenomena, such as bandwidth-controlled Mott transitions and possible quantum spin liquids. However, most organic superconductors have commensurate band fillings, such as one-half or one-quarter, whereas inorganic superconductors, such as high-<i>T</i><sub>c</sub> cuprates and iron-based superconductors, have often been investigated under the variation of their band fillings. Thus, the physical linkage between organic and inorganic superconductors has remained unresolved. In this review article, we focus on the layered nonstoichiometric superconductor, <i>κ</i>-(BEDT-TTF)<sub>4</sub>Hg<sub>2.89</sub>Br<sub>8</sub>, which is exceptional among organic conductors in that the nonstoichiometry serves as doping to a half-filled band. Moreover, the strong correlation of electrons and a geometrically frustrated triangular lattice make this system exhibit the unique phenomena involved in Mottness, spin liquidity, and superconductivity, which are key concepts of correlated electron physics. This review will summarize what we learned from the pressure study of <i>κ</i>-(BEDT-TTF)<sub>4</sub>Hg<sub>2.89</sub>Br<sub>8</sub> and how these findings relate to the extensively studied issues in inorganic materials.","PeriodicalId":17304,"journal":{"name":"Journal of the Physical Society of Japan","volume":"1 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140312223","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":"Theory of Simultaneous Observation of Photoelectron and Emitted X-ray Photon in X-ray Emission Spectroscopy and Their Entanglement","authors":"Ryo B. Tanaka, Takayuki Uozumi","doi":"10.7566/jpsj.93.044401","DOIUrl":"https://doi.org/10.7566/jpsj.93.044401","url":null,"abstract":"We have theoretically investigated the character of entanglement between photoelectrons and emitted X-ray photons in XEPECS process which is a coincidence spectroscopy of photoelectrons and emitted X-ray photons. In the calculations, we used a three-electron <i>sp</i>-model consisting of an inner-shell 1<i>s</i> orbital and an outer-shell 2<i>p</i> orbital. We found that entanglement occurs between spin of photoelectrons and linear polarization of emitted X-ray photons, using the wavefunction of the whole system including the photon as well as the electron system. Furthermore, we calculated the degree of entanglement and found that it shows maximum at a particular angle of emitted X-ray photon.","PeriodicalId":17304,"journal":{"name":"Journal of the Physical Society of Japan","volume":"100 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140312073","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":"Field-induced Insulator–Metal Transition in EuTe2","authors":"Tetsuya Takeuchi, Fuminori Honda, Dai Aoki, Yoshinori Haga, Takanori Kida, Yasuo Narumi, Masayuki Hagiwara, Koichi Kindo, Kosuke Karube, Hisatomo Harima, Yoshichika Ōnuki","doi":"10.7566/jpsj.93.044708","DOIUrl":"https://doi.org/10.7566/jpsj.93.044708","url":null,"abstract":"We studied in detail the electrical and magnetic properties of the Eu-divalent antiferromagnet EuTe<sub>2</sub> with a tetragonal crystal structure using single crystals grown by the Te self-flux method. The observed anisotropic magnetization curves in the antiferromagnetic state below <i>T</i><sub>N</sub> = 11.1 K can be understood in terms of the magnetization processes of the two-sublattice model of an antiferromagnet with uniaxial magnetic anisotropy. A characteristic feature of this compound is that it becomes an insulator with decreasing temperature at zero magnetic field, but changes to a metal with a relatively low number of carriers in magnetic fields. From the results of magnetization, magnetoresistance, and Hall resistivity measurements in magnetic fields up to <i>μ</i><sub>0</sub><i>H</i> = 40 T, the insulator–metal transition was found to occur when the magnetization reaches ∼2 <i>μ</i><sub>B</sub>/Eu for both <tex-math space=\"preserve\" version=\"MathJax\">(Hparallel [110])</tex-math> and [001] at measurement temperatures above 50 K. Energy band calculations revealed that only the up-spin band, which is mainly composed of Te-5<i>p</i> electrons, crosses the Fermi level in the ferromagnetic state, although the energy band possesses a band gap in the paramagnetic and antiferromagnetic states.","PeriodicalId":17304,"journal":{"name":"Journal of the Physical Society of Japan","volume":"39 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140312075","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":"Thermal Conductivity of Organic Solutions Against Solute Concentration","authors":"Kaisei Nishitani, Yutaka Moritomo","doi":"10.7566/jpsj.93.045002","DOIUrl":"https://doi.org/10.7566/jpsj.93.045002","url":null,"abstract":"Thermal conductivity <i>κ</i> of organic solutions containing <i>m</i> mole Fe(ClO<sub>4</sub>)<sub>2</sub>6.0H<sub>2</sub>O and <i>m</i> mole Fe(ClO<sub>4</sub>)<sub>3</sub>7.1H<sub>2</sub>O was investigated against <i>m</i>. The dimensionless figure of merit <i>ZT</i> is found to be larger in methanol (MeOH) and acetone solutions than that in aqueous solution. We further found that the corrected thermal conductivity (<i>κ</i><sub>cor</sub>) of organic solutions linearly decreases with increase in <i>m</i> and interpreted the reduction in terms of the suppression of intermolecular energy transfer.","PeriodicalId":17304,"journal":{"name":"Journal of the Physical Society of Japan","volume":"49 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140301538","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}