Acta Scientiarum Naturalium Universitatis SunYatseni

Acta Scientiarum Naturalium Universitatis SunYatseni wx-icon
  • 主编：HU Jianxun
  • ISSN:2097-0137
  • CN:44-1752/N
  • 主管单位：the Ministry of Education of China
  • 主办单位：Sun Yat-sen University
  • 出版周期：Bimonthly
  • 电话：020-84112585
  • 简介：

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Volume 65 期 4，2026 2026年第65卷第4期

  • Invited review

    Wang Bailing

    DOI：10.11714/acta.snus.ZR20250270
    摘要：The year 2025 marked the passing of two towering figures of twentieth-century mathematical physics, Rodney Baxter and Chen-Ning Yang. Yang reshaped modern physics through the introduction of non-abelian gauge theory and, independently, through the consistency conditions that later became known as the Yang-Baxter equation. Baxter transformed those conditions into a systematic theory of exact solvability in statistical mechanics and quantum integrable systems.This article is written in memory of Baxter and Yang, whose work revealed how local consistency principles generate global mathematical structure. We review the Yang-Mills formulation of gauge theory, its mass obstruction and resolution via symmetry breaking, and the geometric framework it engendered, including instantons, Donaldson-Floer theory, magnetic monopoles, and Hitchin systems. In parallel, we trace the emergence of the Yang-Baxter equation from factorised scattering to solvable lattice models, quantum groups, and Chern-Simons theory. Rather than presenting two separate narratives, gauge theory and integrability are presented as complementary manifestations of a shared coherence principle - an ongoing journey from gauge symmetry toward mathematical unity.  
    关键词：Yang-Mills theory;Yang-Baxter equation;gauge theory;quantum groups;mirror symmetry   
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    更新时间：2026-07-24

  • Research articles

    Guan Jiaai, Lu Bo, Zhao Sixin

    DOI：10.11714/acta.snus.ZR20250021
    摘要：Let 𝒳, 𝒴 be a duality pair of complexes. In this article, we first introduce and investigate the notion of Gorenstein 𝒳, 𝒴-injective complexes. Moreover, we establish a relationship between a Gorenstein 𝒳, 𝒴-injective complex and its terms for some special duality pairs 𝒳, 𝒴. Finally, we obtain some equivalent characterizations of Gorenstein 𝒳, 𝒴-injective dimensions of complexes.  
    关键词：Gorenstein 𝒳, 𝒴-injective complex;Homological property;Gorenstein 𝒳, 𝒴-injective dimension   
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    更新时间：2026-07-24

    Zhou Ruxin, Zheng Pengcheng, Huang Zerui, Li Junxia, Huang Qiyin, Jing Yuzhen, Liu Peiliang

    DOI：10.11714/acta.snus.ZR20260115
    摘要：A highly stable laser source is a fundamental requirement for precision spectroscopy and quantum state manipulation in ion-trap experiments. To meet the demand for laser frequency stability in precision measurements with ytterbium ions， this work presents the design and implementation of a fast-slow feedback laser frequency stabilization scheme referenced to an optical frequency comb. The system extracts frequency error information by detecting the beat signal between a continuous-wave laser and a comb tooth of the optical frequency comb， and employs a dual-loop feedback architecture： a slow feedback loop compensates for long-term frequency drifts of the laser， while a fast feedback loop provides high-bandwidth frequency tuning based on an acousto-optic modulator（AOM）. To mitigate the impact of the AOM diffraction-angle variation with driving frequency on optical path stability，a double-frequency-shifting optical configuration based on the AOM is designed and implemented. Experimental results show that， after locking the 934 nm laser to the optical frequency comb， the beat note linewidth is compressed to the Hz level， and the center frequency fluctuation is reduced to ±3.6 mHz in 3 hours. The relative instability of the system reaches 4.55(4)×10-17 at 1 s and 1.6(4)×10-18 at 1 000 s， demonstrating excellent frequency locking performance and significantly improved long-term frequency stability. Furthermore， this method can be extended to the simultaneous locking of multiple lasers， providing a unified frequency reference for multi-wavelength laser systems in ion-trap experiments.  
    关键词：optical frequency comb;laser frequency stabilization;acousto-optic modulator;fast-slow feedback control   
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    更新时间：2026-07-24

    Li Xiying, Wu Hao, Pan Huayan, Li Jin, Zhu Yiyang, Hu Weipeng

    DOI：10.11714/acta.snus.ZR20260045
    摘要：This paper proposes a domain adaptation detection framework based on self-supervised visual representations， integrating general object detection with prototype library matching techniques. By leveraging the pre-trained features of DINOv3 for matching and screening， the proposed method can localize and distinguish target vehicles under few-shot conditions without the need for fine-tuning. First， a data augmentation front-end module based on multi-view synthesis is constructed to generate multi-angle samples. This aligns with overhead surveillance scenes， compensating for viewpoint deficiency in cross-domain settings. Subsequently， an inter-class clustering and prototype matching method is designed. By mining data modalities via clustering algorithms， a real-world prototype library encompassing various morphologies is constructed to address the issue of large intra-class variations. Building upon this， a joint global and local representation is introduced， which integrates semantic and textural details from different network layers to achieve fine-grained discrimination of target vehicles. Experimental results demonstrate that under few-shot conditions， the proposed method effectively overcomes the degradation in detection performance caused by viewpoint domain shift. Compared with traditional approaches， it improves the detection recall rate and significantly reduces false positives triggered by non-target vehicles， validating the effectiveness and robustness of the proposed domain adaptation framework in special vehicle monitoring scenarios..  
    关键词：special transport vehicle;self-supervised visual model;domain adaptive detection   
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    更新时间：2026-07-24

    Zou Yongxi, Xiao Wenxun, Yu Wei, Qiu Dongyuan, Du Guiping

    DOI：10.11714/acta.snus.ZR20260051
    摘要：With the advantages of high power density， galvanic isolation， and soft-switching capability， the dual-active-bridge （DAB） DC-DC converter has been widely used in modern DC microgrids and renewable-energy systems. However， when a DAB converter supplies a constant power load （CPL）， the load exhibits negative incremental impedance， which can drive the system poles into the right-half plane， thereby causing oscillations and instability. To address this issue， this paper proposes an active-damping-based improved active disturbance rejection control strategy， developed from the reduced-order averaged model of the DAB converter and the equivalent CPL model. A shunt virtual admittance is designed at the DAB output to actively compensate the negative impedance introduced by the CPL. On this basis， the linear extended state observer （LESO） and the linear active disturbance rejection control （LADRC） structure are reconfigured to simultaneously mitigate the adverse effects of negative impedance and enhance robustness. Experimental results show that， compared with conventional PI control and standard LADRC， the proposed method effectively suppresses output-voltage oscillations， shortens the settling time， and improves system stability.  
    关键词：dual active bridge;constant power load;active damping;active disturbance rejection control   
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