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GENERAL

Analysis of structural response characteristics of a bidirectional separated electromagnetic coil drive device
Cong Yuan-Tao, Wang Qiu-Liang, Cheng Jun-Sheng, Xiong Ling, Sun Jian
2024, 73 (13): 130201. doi: 10.7498/aps.73.20240239
Abstract +
In order to alleviate the common problems of skeleton fracture and failure in traditional propulsion systems, the insulation degradation and structural instability existing in integrated drive structures during operation are investigated in this work. By using stress-strain calculations of a typical integrated drive structure and voltage-withstanding discharge tests after acceleration experiments, key factors are identified, and it is believed that the tensile stress inside the driving structure is one of the reasons for structural instability. Owing to the electromagnetic force acting on the coil, the integrated driving structure exhibits high tensile stress and strain on the inner wall and interphase partition, accompanied by significant deformation, which is not conducive to the overall structural stability. Based on the above calculation results, a novel modular drive structure with bidirectional separation is proposed, which can realize the radial separation between the phase partition and the skeleton inner cylinder, as well as axial separation between different driving coils. Finite element simulation analysis is conducted to evaluate its acceleration performance and structural response during operation. The results indicate that under the same excitation conditions, the new driving structure greatly reduces the interaction between the coil and the inner wall during operation, so the stress-strain on the inner wall of the new driving structure is much smaller than that of the integrated structure. The maximum deformation decreases from approximately 10–2 m in the integrated structure to about 10–5 m to 10–6 m in the new design. These findings emphasize the potential of new structure to improve reliability while ensuring propulsion performance, providing valuable insights for optimizing electromagnetic coil drive structures. For this new structure, there will be plans to conduct high-pressure propulsion experiments in the future to verify its reliability.

GENERAL

A novel compound exponential locally active memristor coupled Hopfield neural network
Wang Meng-Jiao, Yang Chen, He Shao-Bo, Li Zhi-Jun
2024, 73 (13): 130501. doi: 10.7498/aps.73.20231888
Abstract +
The neural network model coupled with memristors has been extensively studied due to its ability to more accurately represent the complex dynamic characteristics of the biological nervous system. Currently, the mathematical model of memristor used to couple neural networks mainly focuses on primary function, absolute value function, hyperbolic tangent function, etc. To further enrich the memristor-coupled neural network model and take into account the motion law of particles in some doped semiconductors, a new compound exponential local active memristor is proposed and used as a coupling synapse in the Hopfield neural network. Using the basic dynamic analysis method, the system’s dynamic behaviors are studied under different parameters and the coexistence of multiple bifurcation modes under different initial values. In addition, the influence of frequency change of external stimulation current on the system is also studied. The experimental results show that the internal parameters of memristor synapses regulate the system, and the system has a rich dynamic behavior, including symmetric attractor coexistence, asymmetric attractor coexistence, large-scale chaos as shown in attached figure, and bursting oscillation. Finally, the hardware of the system is realized by the STM32 microcontroller, and the experimental results verify the realization of the system.

GENERAL

Chiral Majorana fermions resonance exchange moudulated by quantum dot coupling strength
Wu Hai-Bin, Liu Ying-Di, Liu Yan-Jun, Li Jin-Hua, Liu Jian-Jun
2024, 73 (13): 130502. doi: 10.7498/aps.73.20240739
Abstract +
We study the resonance exchanges of two chiral Majorana fermions in two distinct systems theoretically in this work: one is an isolated Majorana zero mode interacting with complexes formed by two chiral Majorana fermions and a Majorana zero mode, and the other involves isolated quantum dots that are coupled to a system composed of Majorana fermions and a quantum dot. Our research results reveal that both of these coupled systems can facilitate the effective transmissions of the two chiral Majorana fermions as $ {\gamma _1} \to - {\gamma _2} $and $ {\gamma _2} \to - {\gamma _1} $, and the resonant tunneling effects in the two systems are equivalent. Therefore, quantum dots can replace Majorana zero modes to achieve resonant tunneling. In order to observe the resonance exchange of two chiral Majorana fermions with the two quantum dots, a circuit based on anomalous quantum Hall insulator proximity-coupled with s-wave superconductor is proposed as shown in figure. The numerical results indicate that the resonant exchange of chiral Majorana fermions can be modulated by the coupling strength between the two quantum dots, and it is particularly noteworthy that the tunneling process is independent of the superconducting phase. If one of the chiral Majorana fermions undergoes resonance coupling with another quantum dot or Majorana zero mode, an additional negative sign is obtained, leading to $ - {\gamma _2} \to {\gamma _1} $. After experiencing two resonance exchange processes, the final result is $ {\gamma _1} \to {\gamma _2} $ and $ {\gamma _2} \to - {\gamma _1} $, which implies the realization of non-Abelian braiding operations. Our conclusion is that the modulation of coupling strength between two quantum dots can be used to achieve the switch of Majorana fermions braiding-like operation, which is independent of superconducting phase. Therefore, the designed scheme provides a new way for adjusting the braiding-like operation of Majorana fermions. These findings may have potential applications in the realization of topological quantum computers.

GENERAL

Quantum phase transitions of anisotropic dipolar bosons under artificial magnetic field
Gao Ji-Ming, Di Guo-Wen, Yu Zi-Fa, Tang Rong-An, Xu Hong-Ping, Xue Ju-Kui
2024, 73 (13): 130503. doi: 10.7498/aps.73.20240376
Abstract +
The quantum system composed of optical lattice and ultracold atomic gas is an ideal platform for realizing quantum simulation and quantum computing. Especially for dipolar bosons in optical lattices with artificial gauge fields, the interplay between anisotropic dipolar interactions and artificial gauge fields leads to many novel phases. Exploring the phase transition characteristics of the system is beneficial to understanding the physics of quantum many-body systems and observing quantum states of dipolar system in experiments. In this work, we investigate the quantum phase transitions of anisotropic dipolar bosons in a two-dimensional optical lattice with an artificial magnetic field. Using an inhomogeneous mean-field method and a Landau phase transition theory, we obtain complete phase diagrams and analytical expressions for phase boundaries between an incompressible phase and a compressible phase. Our results show that both the artificial magnetic field and the anisotropic dipolar interaction have a significant effect on the phase diagram. When the polar angle increases, the system undergoes the phase transition from a checkerboard supersolid to a striped supersolid. For small polar angle ($V_x/U= 0.2, V_y/U=0.1$, Fig.(a)), artificial magnetic field induces both checkerboard solid phase and supersolid phase to extend to a large hopping region. For a larger polar angle ($V_x/U=0.2, $$ V_y/U=-0.1$, Fig.(b)), artificial magnetic field induces both striped solid and striped supersolid to extend to a large hopping region. Thus, the artificial magnetic field stabilizes the density wave and supersolid phases. In addition, we reveal the coexistence of different quantum phases in the presence of an external trapping potential. The research results provide a theoretical basis for manipulating the quantum phase in experiments on anisotropic dipolar atoms by using an artificial magnetic field.

GENERAL

Tune-out wavelengths of Rydberg atoms
Liu Zhi-Hui, Liu Xiao-Na, He Jun, Liu Yao, Su Nan, Cai Ting, Du Yi-Jie, Wang Jie-Ying, Pei Dong-Liang, Wang Jun-Min
2024, 73 (13): 130701. doi: 10.7498/aps.73.20240397
Abstract +
The atomic polarizability represents the response characteristics of atoms to externally applied electro-magnetic fields. The wavelength (or frequency) at which the dynamic polarizability of an atom is equal to zero is referred to as the tune-out wavelength (or frequency). Spectroscopy technology based on the tune-out effect has potential applications in quantum precision measurement, quantum computation and quantum communication. Related research topics include the measurement of fundamental physical constants and strong interactions. The tune-out wavelengths of atoms in low-lying states primarily fall within the optical band, where the theoretical calculations and experimental measurements have significant progress. However, for Rydberg atoms in highly excited states, theoretical calculations are challenging due to their high density of atomic states. The difficulty of experimental measurement arises from small splitting of adjacent atomic energy levels. In this paper, we demonstrate the tune-out wavelengths measurement for Rydberg atoms in a cesium vapor cell at room temperature. We utilize a two-photon cascade excitation to prepare Rydberg states and employ amplitude-modulation electromagnetically-induced transparency (AM-EIT) spectroscopy to measure the tune-out wavelength. By continuously scanning the microwave frequencies, we obtain AM-EIT signals of Rydberg atoms. At near-resonant microwave transition wavelengths, strong AM-EIT signals are observed due to microwave-atom coupling. Conversely, at tune-out wavelengths, the dynamically polarization-induced destructive interference in neighboring energy states occurs which leads to the weak AM-EIT signals. The AM-EIT provides a spectral resolution of about 10 MHz. We have developed a simplified three-level model to calculate the tune-out wavelength. The results of our theoretical calculations are consistent with the experimental findings within a range of ±90 MHz.

Instrumentation and Measurement

Low-noise preamplifier for scanning tunneling microscope
Tang Hai-Tao, Mi Zhuang, Wang Wen-Yu, Tang Xiang-Qian, Ye Xia, Shan Xin-Yan, Lu Xing-Hua
2024, 73 (13): 130702. doi: 10.7498/aps.73.20240560
Abstract +
The current preamplifier is one of the important components of the scanning tunneling microscope (STM), and its performance is crucial to the basic operations of the STM system, as well as for the development of demanding novel functionalities such as autonomous atomic fabrication. In this study, the factors that affect the performance of a current preamplifier, including its noise spectrum density and the bandwidth, are analyzed in depth, and a preamplifier is designed and fabricated specifically for the STM system. By using a carefully selected low-noise op amp chip, the optimized current preamplifier has a noise floor as low as 4 $ {\mathrm{f}}{\mathrm{A}}/\sqrt{{\mathrm{H}}{\mathrm{z}}} $ and a bandwidth of 2.3 kHz, at its most sensitive transimpedance gain of 1 GΩ. It has three transimpedance gains, 10 MΩ, 100 MΩ, and 1 GΩ, that can be switched through digital control signals. A two-switch configuration is adopted to minimize the noise floor while maintaining the optimal bandwidth. The current detectable by this three-level preamplifier ranges from pA to μA, satisfying the requirements of most STM operations. Using this preamplifier, the fundamental functions of the STM system are successfully demonstrated, including surface topographic characterization, scanning tunneling spectroscopy, and single atom/molecule manipulation. The measurement of shot noise in tunneling current is also explored, and a linear relationship between shot noise and tunneling current is obtained by carefully analyzing noise. It is illustrated that the Fano factor of the shot noise in a normal metallic tunneling junction is approximately equal to 1, revealing the expected Poisson process for electron tunneling in such a scenario. The results are valuable for the high-resolution characterization of correlation systems in the future.

THE PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Production of single charm pentaquark based on molecular configuration
Xing Ye, Li Na, Yang Ling-Bin, Hu Xiao-Hui
2024, 73 (13): 131401. doi: 10.7498/aps.73.20240447
Abstract +
In this work, the authors use the effective Lagrangian method to investigate the production of singly charm pentaquark state with spin parity $J ^ P={1/2}^{-} $. Based on the possible molecular state images of hadrons, the author discusses the production of singly charm pentaquark state ${c\bar suud}$ and decuplet baryon $\bar \varDelta$ by $B_{\mathrm{s}}$ meson with different molecular state configurations of $ND_{\mathrm{s}} $ or $ND ^ * _{\mathrm{s}} $. To determine the coupling between pentaquark and their constituents in the molecular scheme, the authors follow the Weinberg compositeness condition to estimate the self-energy diagram of the singly charmed pentaquark. Further study on the production of pentaquark from $B_{\mathrm{s}}$ meson can be propeled by computing the transition matrix elements, or the triangle diagrams, which can be careful divided into two part subprocess, one associated with weak transition can be represented into form factor and decay constant, another one related to strong coupling of hadrons can be described by effective Lagrangian. Selecting the scale parameter α (10–200 MeV) and binding energy ε (5, 20, 50 MeV), the authors can find the branching ratio of the production $\bar B_{\mathrm{s}} \to P_ {{\mathrm{c}}\bar {{\mathrm{s}}}}\bar \varDelta $. Under the configuration of $ND_{\mathrm{s}}$ molecule, the branching ratio of the Cabibbo allowed process $\bar B_{\mathrm{s}} \rightarrow P_{{{\mathrm{c}} \bar{{\mathrm{s}}}}} \bar \varDelta$ can reach to order of $10^{-5}$. Moreover, the production branching ratio of $ND^*_{\mathrm{s}}$ molecule is only at the order of $10^{-8}$. A increasing scale parameter α can significantly improve the production branching ratio of the singly charm pentaquark. In addition, the binding energy and the coupling constants will also affect the magnitude of production. Therefore, considering the above factors, the production branching ratio of singly charm pentaquark in $B_{\mathrm{s}}$ decays have considerable results, which is worth experimental and theoretical research in the future. The findings of our work can provide a reference for the experimental search and study of singly charm pentaquark, and it is hoped that they will be verified in future experimental detections at B factories such as LHCb, Belle, and BaBar.

NUCLEAR PHYSICS

Study of nuclear excitation by electron capture via the stopping of highly charged ions
Jia Chen-Xu, Ding Bing, Hua Wei, Guo Song, Qiang Yun-Hua, Chen Hong-Xing, Wei Rui, Zhou Xiao-Hong
2024, 73 (13): 132301. doi: 10.7498/aps.73.20240276
Abstract +
The long-lived isomer is a potential energy-storage material with good energy storage density and storage period. However, releasing the stored energy from such an isomer is challenging. A recognized method is isomer depletion: the isomer is excited to an adjacent short-lived energy level, followed by de-excitation to the ground state, releasing all the stored energy. Six possible mechanisms for isomer depletion have been proposed, i.e. photoabsorption, coulomb excitation, inelastic scattering, nuclear excitation by electron transition, nuclear excitation by electron capture (NEEC), and electronic bridge. Among them, NEEC has attracted significant attention in recent years.The NEEC occurs when a free electron is captured into an empty atomic orbital, with the nucleus excited simultaneously. To observe the NEEC, one can utilize the stopping process of high-velocity, high-charge-state ions in solid materials. As injected into a stopping material, the ions will be decelerated and capture electrons in the material. In the resonant process of NEEC, the sum of the binding energy and the kinetic energy of the free electron matches the energy required for nuclear excitation. If they do not match, or if the orbitals are already occupied by electrons, the NEEC cannot occur, as indicated by the red arrows in the figure. $ ^{93{\mathrm{m}}} {\mathrm{Mo}} $ is an ideal candidate for NEEC measurements. It is an isomeric state with an excitation energy of 2.4 MeV, a spin-parity of $21/2 ^+ $, and a half-life of 6.85 h. In addition, there is an energy level with a spin-parity of $17/2 ^+ $ and half-life of 3.5 ns; its excitation energy is 4.8-keV higher than that of $ ^{93{\mathrm{m}}} {\mathrm{Mo}} $ and primarily de-excites to the $ 13/2^+ $ state through a 268-keV gamma ray. This level is referred to as the triggering level in the NEEC process. Once excited to the triggering level, the nucleus decays immediately to the ground state, releasing energy of about 2.4 MeV.In 2018, Chiara et al. reported the first experimental observation of $ ^{93{\mathrm{m}}} {\mathrm{Mo}} $ isomer depletion with a probability of 1.0(3)%, which was attributed to the NEEC mechanism. However, the following theoretical calculations fail to reproduce such a high probability. In 2022, another experiment was devoted to measuring the depletion of $ ^{93{\mathrm{m}}} {\mathrm{Mo}} $ in the stopping process. The measurements were performed at the Heavy Ion Research Facility in Lanzhou. However, no characteristic 268-keV transition caused by isomer depletion was observed, and it was inferred that the upper limit of the excitation probability was about $2\times 10^{-5} $, which is different from the previously reported value of 1%. The beam energy in the Lanzhou experiment is lower than that of the previous data, which can lead to different depletion probabilities. Thus, further experiments are required to clarify this issue.In this study, two experiments related to NEEC are conducted, the reliability of the experimental results is evaluated from a new perspective of error analysis, and a design scheme is provided for implementing further experiments. According to the proposed experimental setup, the recoil energy is considerably increased and particle-identification devices are added. The detectors for particle identification can cause energy loss, thus the increasing of the recoil energy is also a prerequisite for particle identification. Considering the recoil energy, production cross-section, and the population of high-spin states that can decay to$ ^{93{\mathrm{m}}} {\mathrm{Mo}} $, we recommend the $ ^{94}{\mathrm{Zr}}+ ^{4}{\mathrm{He }}$ as the beam-target candidate for future experiments based on the secondary beam line. In addition, a simple design for particle identification is also introduced in this study.

ATOMIC AND MOLECULAR PHYSICS

Theoretical study on the nucleation control of WS2 on Au(111) surfaces
Hu Yi-Shan, Yuan Qing-Hong
2024, 73 (13): 133101. doi: 10.7498/aps.73.20240417
Abstract +
Two-dimensional tungsten disulfide (WS2), as a semiconductor material with unique layer-dependent electronic and optoelectronic characteristics, demonstrates a promising application prospect in the field of optoelectronic devices. The fabrication of wafer-scale monolayer WS2 films is currently a critical challenge that propels their application in advanced transistors and integrated circuits. Chemical vapor deposition (CVD) is a feasible technique for fabricating large-area, high-quality monolayer WS2 films, yet the complexity of its growth process results in low growth efficiency and inconsistent film quality of WS2. In order to guide experimental efforts to diminish grain boundaries in WS2, thereby improving film quality to enhance electronic performance and mechanical stability, this study investigates the nucleation mechanisms of WS2 during CVD growth through first-principles theoretical calculations. By considering chemical potential as a crucial variable, we analyze the growth energy curves of WS2 under diverse experimental conditions. Our findings demonstrate that modulating the temperature or pressure of the tungsten and sulfur precursors can decisively influence the nucleation rate of WS2. Notably, the nucleation rate reaches a peak at a tungsten source temperature of 1250 K, while an increase in sulfur source temperature or a decrease in pressure can suppress the nucleation rate, thereby enhancing the crystallinity and uniformity of monolayer WS2. These insights not only furnish a robust theoretical foundation for experimentally fine-tuning the nucleation rate as needed but also provide strategic guidance for optimizing experimental parameters to refine the crystallinity and uniformity of monolayer WS2 films. Such advancements are expected to accelerate the deployment of WS2 materials in a range of high-performance electronic devices, marking a significant stride in the field of materials science and industrial applications.

ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS

Phase matching of electromagnetic wave on moving interface
Yuan Jin-Jian, Gu Min, Huang Run-Sheng
2024, 73 (13): 134201. doi: 10.7498/aps.73.20240269
Abstract +
Due to the boundary conditions of electromagnetic fields and phase matching of electro magnetic waves on interface being the basis to drive the Snell’s laws and Fresnel’s laws, they are also crucial for the analysis of electromagnetic wave propagation in a moving medium. There are mainly two methods to derive the boundary conditions of electromagnetic fields on moving interface. One of them is to use the kinematic integral form, yet this method is based on the classical time-space, and the other is based on the relativistic transformation, the boundary conditions are derived from the scaling effect with geometric method, or from the principle of relativity directly. However, the first one has a form the same as the form obtained by using the kinematic integral form, while the second one obtains a different form. At the same time, the phase matching of electromagnetic wave on moving interface is only discussed by Galileo transformation, however this is unreasonable, because of the relativistic effect cannot be ignored here. Therefore, it is necessary to reexamine the boundary conditions of electromagnetic fields and phase matching of electromagnetic wave on moving interface. Herein, firstly, the relativistic transformation formula of the unit normal vector of moving surface is derived from the surface equation and principle of relativity. Secondly, the boundary conditions of electromagnetic fields on moving interface are given based on the relativistic transformation formula and the non-relativistic transformation formula of the unit normal vector and electromagnetic fields, which show that the boundary conditions of electromagnetic fields on moving interface under the relativistic case and the non-relativistic case have the same form. This is not accidental but definite, because the change of flux of electromagnetic fields, like the change of magnetic flux, from the induction of electromagnetic filed is the same as that from the variation of surface element. Thirdly, the phase matching of electromagnetic wave on moving interface is given based on the relativistic transformation formula of the unit normal vector and the phase matching of electromagnetic wave on resting interface. In the problem of light incident on a homogeneous medium moving at a constant velocity in vacuum or air, using the phase matching of electromagnetic wave on moving interface, the same results can be easily obtained through other methods. The discussion in this study belongs to classical electrodynamics with no quantum effects considered, but the results will provide some conveniences for theoretically analyzing electromagnetic communication, remote sensing and telemetering.
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