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Time scale algorithm based on cesium atomic fountain clock and optically pumped small cesium clocks
SONG Huijie, DONG Shaowu, WANG Xiang, ZHANG Yu, GUO Dong, WU Wenjun, WU Dan, WANG Xinliang, LIU Dandan
2025, 74 (19): 190201.
Abstract +
Realizing the independent control of the national standard time has important practical significance under the current international situation. In this work, an independent time scale that does not rely on external references is developed by studying the self-developed cesium fountain primary frequency standard and domestically-produced optically-pumped small cesium clocks. The specific approach is to use the cesium fountain primary frequency standard as a frequency reference to predict the frequency drift of the optically pumped small cesium clocks. By analyzing the noise characteristics of the optically pumped small cesium clocks, the state equation of the atomic clock is established, and the state of the optically pumped small cesium clock is estimated based on the Kalman filtering algorithm. The calculation of the time scale is based on the frequency state estimation and frequency drift state estimation of atomic clocks, which serve as the forecast values, and is achieved through the weight algorithm. The weight algorithm based on prediction error and the weight algorithm based on noise characteristics are studied. The results show that in the case of using Kalman filtering state estimation, the weight algorithm based on prediction error significantly improves the accuracy of the independent time scale. The cesium fountain primary frequency standard is chosen as the frequency reference to predict the frequency drift of the optically pumped small cesium clock. The accuracy and long-term stability of the independent time scale calculated are much better than those when the time scale itself is used as the frequency reference. Taking the international standard time (UTCr) as the reference, the accuracy of the independent time scale is maintained within 15 ns. The frequency stability is 1.57×10–14 for a sampling interval of 1 day, 4.29×10–15 for a sampling interval of 15 days, and 2.87×10–15 for a sampling interval of 30 days is showing that its stability can meet the current national time demand.
Efficient suppression of multiple reflections in laser galvanometer scanning systems
CUI Shuyang, WU Yuxiang, CAI Yudong, LI Xuan, SHAO Xiaopeng
2025, 74 (19): 190202.
Abstract +
The structured light 3D measurement technology based on laser galvanometer has been widely used in industrial scenarios such as robot grasping, handling, and loading/unloading in welding and assembly workshops. However, in actual measurement scenarios, there are complex measurement structures such as depressions, overlaps, and occlusions. Light is prone to multiple reflections between micro-faces, causing intensity information to be mixed within the micro-face area and ultimately resulting in point cloud loss in this measurement area. To address the issue of point cloud loss in complex structure areas in the measurement process and ensure the accuracy of the measurement information provided by vision, a binocular point cloud sensor with a laser galvanometer as the key projection module is proposed in this work. Without adding hardware, it realizes two different image projection modes to deal with complex measurement situations within the scene. Among them, the anti-multiple reflection projection mode proposed in this work, by regulating the timing coordination relationship between key components, completes the measurement of complex structure positions and solves the problem of point cloud loss caused by multiple reflection interference. Finally, multiple experiments are conducted in actual scenarios to verify the feasibility of the proposed strategy. The experimental results show that in measurement scenarios with multiple reflection interference, the integrity of the black part point cloud measured by the anti-multiple reflection projection mode proposed in this work reaches 98.03%, which is 18.98% higher than the traditional measurement mode. It effectively solves the problem of point cloud loss in measurement scenarios with multiple reflection interference. Visual measurements ensure the accuracy and completeness of the information obtained. The six-axis compensation values determined by the robot for each part’s pose state during teaching become more precise. This ensures that the previously taught robot trajectory can be accurately reused for subsequent poses, thereby reducing the time needed for manual robot debugging and enhancing production efficiency.
High-precision prediction of photonic band structure based on vision transformer model
CHEN Guanhua, YAO Junchi, ZHU Huifang, ZHI Ting, WANG Jin, XUE Junjun, CHEN Lin, TAO Tao, TAO Zhikuo
2025, 74 (19): 190203.
Abstract +
Photonic crystals have received widespread attention in the field of photonics due to their unique band structures, which can manipulate the propagation of light through periodic dielectric arrangements. Accurate prediction of these band structures is crucial for designing and optimizing photonic devices. However, traditional numerical simulation methods, such as plane wave expansion and finite element methods, are often limited by high computational complexity and long processing times. In this study, we explore the application of the vision transformer (ViT) model to predicting the band structures of photonic crystals efficiently and accurately. To further validate the superiority of the ViT model, we also conduct experiments by using CNN and MLP models on the same scale for band structure prediction. We first generate a dataset of photonic band structures by using traditional numerical simulations and then train the ViT model on this dataset. The ViT model demonstrates excellent learning capabilities, with the loss function value decreasing to as low as 4.42×10–6 during training. The test results show that the average mean squared (MSE) error of the ViT model predictions is 3.46×10–5, and the coefficient of determination (R2) reaches 0.9996, indicating high prediction accuracy and good generalization capability. In contrast, the CNN and MLP models, despite being trained on the same dataset and having the same computational resource allocation, show higher MSE values and lower R2 scores. This highlights the superior performance of the ViT model in predicting the band structures of photonic crystals. Our study shows that the ViT model can effectively predict the band structures of photonic crystals, providing a new and efficient prediction tool for relevant research and applications. This work is expected to advance the development of photonic device design by offering a rapid and accurate alternative to traditional methods.
Quantum entanglement detection and classification of multipartite ${\boldsymbol{W}}\overline{{\boldsymbol{W}}} $ state under the white noise environment
LI Yan, REN Zhihong
2025, 74 (19): 190301.
Abstract +
Entanglement detection and classification of multipartite systems remain the key topics in the field of quantum information and science. In this work, we take advantage of the nature that quantum Fisher information (QFI) can witness multipartite entanglement to comprehensively investigate the entanglement detection and classification of multi-qubit $W{\overline{W}} $ states immersed in a white noise environment. In the situation of local operation, by combining the information of the known quantum state, we have presented a criterion with visibility for witnessing the genuine multipartite entanglement and another for identifying the presence of quantum entanglement. Specifically, with respect to the 5-qubit $W{\overline{W}} $ state and 6-qubit $W{\overline{W}} $ state, due to the fact that the maximum QFI of their splitting-structure states exceeds that of the original states, it is infeasible to strictly establish a criterion for detecting the genuine multipartite entanglement. However, we delineate the scope for inferring the possible entanglement structures. Furthermore, it is found that as the number of qubits increases, the conditions for witnessing the genuine multipartite entanglement become increasingly strict, while those for detecting the existence of entanglement grow relatively more relaxed. Taking into account the likelihood of the crosstalk between neighboring qubits during the local operations on the multipartite systems in experiments, we employ the Lipkin-Meshkov-Glick (LMG) model to explore the entanglement classification of diverse multi-qubit multipartite states. It is found that with the increasing interaction strength, even for the strong white noise, the $W{\overline{W}} $ states can still be distinguished, thereby resolving the challenge of managing the entanglement classification under local operation. Besides, as the interaction strength continues to increase, the task of entanglement classification becomes more straightforward. This fully shows the superiority of nonlocal operations over local operations in the aspect of entanglement classification.
Quantum non-deterministic noiseless linear amplification
CUI Shihe, DU Mingming, LI Xiyun, ZHOU Lan, SHENG Yubo
2025, 74 (19): 190302.
Abstract +
Quantum communication can realize secure information transmission based on the fundamental principles of quantum mechanics. Photon is a crucial information carrier in quantum communication. The photonic quantum communication protocols require the transmission of photons or photonic entanglement between communicating parties. However, in this process, photon transmission loss inevitably occurs due to environmental noise. Photon transmission loss significantly reduces the efficiency of quantum communication and even threatens its security, so that it becomes a major obstacle for practical long-distance quantum communication. Quantum noiseless linear amplification (NLA) is a promising method for mitigating photon transmission loss. Through local operations and post-selection, NLA can effectively increase the fidelity of the target state or the average photon number in the output state while perfectly preserving the encoded information of the target state. As a result, employing NLA technology can effectively overcome photon transmission loss and extend the secure communication distance.In this paper, the existing NLA protocols are categorized into two types, i.e. the NLA protocols in DV quantum systems and CV quantum systems. A detailed introduction is given to the quantum scissor (QS)-based NLA protocols for single photons, single-photon polarization qubits, and single-photon spatial entanglement in the DV quantum systems. The QS-based NLA can effectively increase the fidelity of the target states while perfectly preserving its encodings. In recent years, researchers have made efforts to study various improvements to the QS-based NLA protocols. In the CV quantum systems, researchers have adopted parallel multiple QS structure and generalized QS to increase the average photon numbers of the Fock states, coherent states and two-mode squeezed vacuum states. In addition to theoretical advancements, significant progress has also been made in the experimental implementations of NLA. The representative experimental demonstrations of QS-based NLA protocols are summarized.Finally, the future development directions for NLA to facilitate its practical applications are presented. This review can provide theoretical support for practically developing NLA in the future.
Ground state properties of rotating spin-orbital-angular-momentum coupled Bose-Einstein condensates
ZHAO Lei, QIU Xu, LIANG Yi, HU Aiyuan, WEN Lin
2025, 74 (19): 190303.
Abstract +
By numerically solving the single-particle stationary Schrödinger equation and the Gross-Pitaevskii equation with mean-field interactions at zero temperature, the ground state properties of the rotating spin-orbital-angular-momentum coupled Bose-Einstein condensates in a harmonic trapping potential are investigated in this work. The results show that the rotation lifts the double degeneracy of the single-particle energy spectrum in the angular momentum space, and leads to the vortex state. The angular momentum of the vortex depends on the rotating frequency, the intensity of the laser beam, and the spin-orbital-angular-momentum coupling. In particular, if the rotating frequency is below a critical value, the angular momentum of the ground state vortex remains unaffected by the rotating frequency. When the rotating frequency exceeds the critical value, the angular momentum of the ground state vortex will increase with the rotating frequency increasing. By assuming that the system is confined in a ring trap, the expression of the single-particle energy spectrum in the angular momentum space can be obtained, which clarifies how the rotation frequency affects the angular momentum of the ground state. In the presence of atomic interactions, similar phenomena can also be observed in the mean-field ground state at zero temperature.
Strain measurement of ultra-narrow linewidth π-phase-shifted fiber Bragg grating based on frequency-stabilized laser
YU Bo, YIN Zhenqiang, DING Weijie, LIU Weixin, LI Jing
2025, 74 (19): 190701.
Abstract +
The fiber Bragg grating has the characteristics of anti-electromagnetic interference, electrically passive operation, multi-point sensing, corrosion resistance, and compact size. An ultra-narrow linewidth transmission peak can be formed by introducing a π phase shift at the center of uniform fiber Bragg grating. But this π phase-shifted fiber Bragg grating (PSFBG) with an ultra-narrow linewidth is very sensitive to the input optical intensity. The photothermal effect generated by the input light inside the grating will cause the frequency shift, which will degrade the measurement precision of grating. At the same time, the frequency drift of the laser itself will also increase the measurement error. In this paper, a high-precision strain measurement method is proposed by using the PSFBG with an ultra-narrow linewidth based on the frequency-stabilized laser. The incident laser is attenuated to a single-photon level to eliminate the photothermal effect in the PSFBG. The laser frequency is stabilized to the PSFBG with an ultra-narrow linewidth of 38 MHz by using the single-photon modulation technology. The influence of low-frequency flicker noise is eliminated through 9-kHz high-frequency modulation. The filter bandwidth of lock-in amplifier is 312.5 Hz with the integration time and filter slope of 300 μs and 18 dB, respectively. The signal-to-noise ratio of error signal from the lock-in amplifier is 34. By tuning the resonant cavity length of the laser with the error signal, the output laser frequency is stabilized to the Bragg frequency of the PSFBG with an ultra-narrow linewidth of 38 MHz. The laser frequency fluctuation is limited to 4 MHz within 1000 s. The response sensitivity of Bragg wavelength to external strain in a range of 0 to 30 με is 1.2 pm/με, with a standard error of 0.023 pm/με, and the linear fitting correlation coefficient is R2 = 0.997. Due to the random drift of Bragg wavelength, caused by the environment temperature fluctuations, the corresponding strain measurement precision is 0.05 με. The high-precision strain measurement by using the PSFBG with an ultra-narrow linewidth based on the frequency-stabilized laser is achieved, which will play an important role in the field of aerospace, civil engineering, energy engineering, etc.
Research on ground-state structure and neutron halo characteristics of 29Ne using complex-momentum representation method
WANG Xinghao, LUO Yuxuan, LIU Quan
2025, 74 (19): 192101.
Abstract +
The neutron-rich nucleus 29Ne, located in the $N = 20$ “island of inversion” challenges traditional shell-model predictions by exhibiting a ground-state valence neutron configuration primarily influenced by the $2{\mathrm{p}}_{3/2}$ orbital rather than the anticipated $1{\mathrm{f}}_{7/2}$ orbital. This study aims to reveal the mechanisms behind this shell inversion and explore the potential halo structure in 29Ne, by using the interplay between weak binding, deformation, and low-$\ell$ orbital occupancy.The complex-momentum representation (CMR) method is used within a relativistic framework by integrating relativistic mean-field (RMF) theory with Woods-Saxon potentials to describe bound states, resonances, and continuum states. The model combines quadrupole deformation (β2) to analyze single-particle energy evolution, orbital mixing, and radial density distribution. Key parameters are calibrated based on experimental data, including binding energy and neutron separation energy.The key results are presented below.1) Shell inversion: In the spherical limit ($\beta_2 = 0$), the $2{\mathrm{p}}_{1/2}$ and $2{\mathrm{p}}_{3/2}$ orbitals drop below the $1{\mathrm{f}}_{7/2}$ orbital, confirming the collapse of the $N = 20$ shell gap.2) Deformation-driven halo: For β2 ≥ 0.58, the valence neutrons occupy 3/2[321] orbital (derived from 1f7/2), but due to strong l-mixing, the p3/2 component accounts for 68%. This orbital exhibits a diffuse radial density distribution, indicating a halo structure.3) Experimental consistency: The predicted ground-state spin-parity ($3/2^-$) and low separation energy (~1 MeV) align with measurements, supporting 29Ne as a deformation-induced halo.From this study, some conclusions are obtained as shown below. The 29Ne’s anomalous structure arises from the synergy of p-wave dominance and quadrupole deformation, which reduces centrifugal barriers and enhances spatial dispersion. The CMR method provides a unified description of bound and resonant states, offering new insights into the island of inversion and halo formation. Future work will include pairing correlations and experimental validation of density distributions.This work advances the understanding of exotic nuclear structures near drip lines and highlights the role of deformation in halo phenomena, which is of great significance for future experiments detecting neutron-rich nuclei.
Research on stability and decay properties of superheavy nuclei based on neural network method
CHEN Haijun, SHENG Haowen, HUANG Wenhao, WU Binqi, ZHAO Tianliang, BAO Xiaojun
2025, 74 (19): 192301.
Abstract +
This study aims to develop a highly accurate method of predicting α-decay energy (Qα) of superheavy nuclei (SHN) and to identify the region of enhanced stability (the “island of stability”) based on α-decay properties. Improving the accuracy of Qα calculations is crucial for reliably predicting α-decay half-lives, which are essential for identifying newly synthesized superheavy elements.A modified liquid-drop model (LDM) formula for calculating Qα is proposed, eliminating explicit dependence on magic numbers to improve universality. However, the initial LDM formula alone yields a high root-mean-square deviation (RMSD) of 663.5 keV compared with experimental Qα values from the AME2016 database for 369 nuclei with Z ≥ 82. In order to significantly improve accuracy, a neural network (NN) method is combined with the LDM formula. For a feedforward backpropagation (BP) neural network with a 2-21-1 architecture (2 input neurons: proton number Z and mass number A; 21 hidden neurons; 1 output neuron), the correction term $ \text{δ}{{Q}}_{\text{α}} $ is developed. The network is trained using the Levenberg-Marquardt algorithm on a dataset of 369 nuclei (319 training, 50 validation). The final Qα prediction is given by $ Q_{\text{α}} ^{{\text{NN}}} = Q_{\text{α}} ^{{\text{Eq}}{\text{. (2)}}} + \delta Q_{\text{α}} ^{} $. The unified decay law (UDL) formula is then used to calculate α-decay half-lives (T1/2), with and without NN correction (denoted as UDL and UDLNN). The main results obtained are listed below.1) Improved Qα accuracy: The NN correction dramatically reduces the RMSD between calculated and experimental Qα values from 663.5 keV (LDM alone) to 89.2 keV.2) Capturing shell effects: Remarkably, although there is no explicit input of nuclear shell information, the NN-corrected Qα predictions clearly reproduce known shell structures, including the expected shell closure near N = 184 for superheavy nuclei. This is evident in the systematic lowering of predicted Qα values (implying increased stability) around the predicted doubly magic nucleus 298Fl (Z = 114, N = 184) and other known shell closures (e.g., N = 152, N = 162).3) Half-life predictions: Using the NN-corrected Qα in the UDL formula (UDLNN) further refines T1/2 predictions, reducing the RMSD from 0.631 (UDL alone) to 0.423. The method reliably reproduces experimental half-lives and shell-related features, such as a significant increase in T1/2 near shell closure (e.g. N = 126) and odd-A/odd-odd nuclei due to blocking effects.4) Validation: Predictions for recently synthesized neutron-deficient uranium isotopes 214,216,218U agree well with new experimental data of Qα and T1/2. Predictions for Fl isotopic chains also show good agreement with experimental trends.5) Stability island prediction: Maps of predicted Qα and T1/2 in the superheavy region consistently identify minimum value (indicating maximum stability) near the theoretically predicted doube magic nucleus 298Fl. A potential secondary stability center near Z = 126 and N = 228 is suggested, but further verification is needed. The longest predicted region of T1/2 coincides with the N = 184 shell closure.The conclusions drawn from the above findings are as follows. Integrating a neural network with a modified liquid-drop model formula provides a powerful and accurate method for predicting α-decay energies (Qα) of heavy and superheavy nuclei. The NN successfully learns and corrects complex shell effects implicitly, significantly improving prediction accuracy (RMSD reduced by ~85%). By combining the UDL formula, this method yields reliable α-decay half-lives. The results strongly confirm the existence and location of the predicted “island of stability” centered on the double magic nucleus 298Fl, providing valuable theoretical guidance for future experiments on the synthesis and identification of superheavy elements.
Evaluation of neutron energy spectrum, fluence and single event effects of atmospheric neutron irradiation spectrometer at China spallation neutron source
HU Zhiliang, MO Lihua, ZHOU Bin, YI Tiancheng, LI Mengchao, ZHAO Qi, LIANG Tianjiao
2025, 74 (19): 192901.
Abstract +
The neutron energy spectrum and fluence of the atmospheric neutron irradiation spectrometer at China Spallation Neutron Source cover the energy range from meV to GeV. The evaluation of the neutron energy spectrum and fluence in an energy region above 1 MeV is of great significance for studying single event effect of atmospheric neutrons. Due to the limitations of the proton beam time structure of the CSNS and the engineering reality of the ANIS, it is impossible to achieve the neutron energy spectrum and fluence above 1 MeV through absolute measurements. Therefore, it is necessary to adopt a combination of theoretical simulations and partial experiments to provide reference values. This work covers the following aspects. 1) Based on the measured neutron energy spectrum data from the ICE beamline at LANSCE WNR, the physical models, tally types, and cross-section data files suitable for the calculation of high energy neutron energy spectra and fluence are explored using MCNPX2.5.0; 2) A secondary source with energy distribution, angular distribution, and spatial distribution for neutron energy spectrum and fluence evaluation is developed and verified. 3) Using the obtained neutron energy spectrum and fluence and the combination of existing facilities and JSED89A reference neutron energy spectrum, the performance of the ANIS facility is evaluated from the perspectives of spectrum shape and radiation effect. 4) An experiment on neutron induced single-event upset cross-section measurement of configuration memory on Xilinx 2nd generation FPGAs is conducted using the ANIS. The results are consistent with test results of the same chip series on similar international facilities.In summary, it can be concluded that the ANIS at CSNS may be the facility with the neutron energy spectrum closest to the natural atmospheric neutron energy spectrum among similar facilities in the world, and it has also been confirmed that the test results of ANIS from CSNS show excellent consistency with results obtained from other facilities. Therefore, the research results on atmospheric neutron single-particle effects and engineering acceleration tests based on ANIS at CSNS can be directly applied to high-reliability fields such as aviation, aerospace, military, and civil, contributing to the development of new quality productive forces.
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