Chaos Solitons & Fractals最新文献_第10页

Quantum information scrambling and entanglement generation in a Rydberg-dressed atom driven by tunable long-range interactions and quantum fluctuations 由可调远程相互作用和量子涨落驱动的里德堡修饰原子中的量子信息乱置和纠缠产生

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2026-06-01 Epub Date: 2026-01-29 DOI: 10.1016/j.chaos.2026.117995

M.Y. Abd-Rabbou , Ameenah N. Al-Ahmadi , Hanin Ardah , Abdel-Haleem Abdel-Aty

{"title":"Quantum information scrambling and entanglement generation in a Rydberg-dressed atom driven by tunable long-range interactions and quantum fluctuations","authors":"M.Y. Abd-Rabbou , Ameenah N. Al-Ahmadi , Hanin Ardah , Abdel-Haleem Abdel-Aty","doi":"10.1016/j.chaos.2026.117995","DOIUrl":"10.1016/j.chaos.2026.117995","url":null,"abstract":"<div><div>Arrays of Rydberg-dressed neutral atoms represent a preeminent quantum simulation platform, affording unparalleled in-situ control over many-body Hamiltonians. We investigate information scrambling in this system, governed by a physically derived and tunable soft-shoulder potential. To gain insight beyond a single measure of chaos, we leverage this tunability to demonstrate that scrambling is not a monolithic process. We dissect the information dynamics by computing a suite of out-of-time-order correlators, which allows us to probe distinct and coexisting information channels. Our central finding distinguishes a conventional chaotic channel from a rapid, wave-like channel for quantum coherence and a markedly suppressed channel for classical-like magnetization. We demonstrate systematic control over the landscape of quantum chaos by tuning the interaction range via laser detuning, which dramatically accelerates information propagation. Furthermore, by tuning the strength of quantum fluctuations with the transverse field, we identify an optimal chaotic sweet spot of maximal scrambling. This multifaceted picture is substantiated by a fundamental analysis of the system’s entangling power. Utilizing realistic parameters for <span><math><msup><mrow></mrow><mrow><mn>87</mn></mrow></msup></math></span>Rb, our results provide a concrete recipe and quantitative predictions for upcoming experiments aiming to explore and control many-body chaos in atomic quantum simulators.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"207 ","pages":"Article 117995"},"PeriodicalIF":5.6,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146057309","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

The vanishing pressure limits in Riemann solutions for the non-isentropic Euler equations with combined pressure and time-dependent source term 具有压力和时间相关源项的非等熵欧拉方程的Riemann解中消失的压力极限

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2026-06-01 Epub Date: 2026-01-31 DOI: 10.1016/j.chaos.2026.118013

Tao Li, Yongqiang Fan

{"title":"The vanishing pressure limits in Riemann solutions for the non-isentropic Euler equations with combined pressure and time-dependent source term","authors":"Tao Li, Yongqiang Fan","doi":"10.1016/j.chaos.2026.118013","DOIUrl":"10.1016/j.chaos.2026.118013","url":null,"abstract":"<div><div>In this paper, we investigate the vanishing pressure limits of Riemann solutions for the one-dimensional (1-D) non-isentropic Euler equations with a time-dependent source term and a combined equation of state incorporating both polytropic and logarithmic terms. Since the right-hand side of equations contains a time-varying source term, the solutions of the Riemann problem lose self-similarity. To address this challenge, a velocity transformation is employed to convert the 1-D Euler system with a time-dependent source term into the conservation law form. Firstly, based on the characteristic analysis and phase plane analysis, Riemann solutions are obtained for the transformed conservative system, encompassing rarefaction wave, contact discontinuity, and shock wave. Subsequently, the Riemann solutions of the original system are derived by the velocity transformation. Furthermore, the limiting behavior of these Riemann solutions are studied as the pressure tends to zero. The analytical results demonstrate that the Riemann solutions of the original system, which consist of a 1-shock wave, a 3-shock wave, and a contact discontinuity, converge to the delta shock (<span><math><mi>δ</mi></math></span>-shock) wave solution of the pressureless Euler system with the same source term. The solutions composed of a 1-rarefaction wave, a 3-rarefaction wave, and a contact discontinuity, converge to the pressureless Euler system with a source term, involving the contact discontinuity and vacuum. Finally, some numerical examples are provided to show the formation of <span><math><mi>δ</mi></math></span>-shock wave and vacuum.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"207 ","pages":"Article 118013"},"PeriodicalIF":5.6,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146077038","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Q-switched and vector soliton pulses generation in an Er-doped fiber laser mode-locked by the PbSe-QDs saturable absorber 用PbSe-QDs饱和吸收体锁模的掺铒光纤激光器中q开关和矢量孤子脉冲的产生

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2026-06-01 Epub Date: 2026-01-31 DOI: 10.1016/j.chaos.2026.117921

Zefeng Wang , Daping Luo , Chaoyu Ning , Zhiwei Zhu , Xu Gao , Zhenning Xu , Zejiang Deng , Ruiguang Chang , Ling Zhang , Zhenghui Wu , Tianci Zhang , Chenglin Gu , Wenxue Li

{"title":"Q-switched and vector soliton pulses generation in an Er-doped fiber laser mode-locked by the PbSe-QDs saturable absorber","authors":"Zefeng Wang , Daping Luo , Chaoyu Ning , Zhiwei Zhu , Xu Gao , Zhenning Xu , Zejiang Deng , Ruiguang Chang , Ling Zhang , Zhenghui Wu , Tianci Zhang , Chenglin Gu , Wenxue Li","doi":"10.1016/j.chaos.2026.117921","DOIUrl":"10.1016/j.chaos.2026.117921","url":null,"abstract":"<div><div>PbSe quantum dots (QDs) have demonstrated excellent optical properties suitable for high-performance lasers and stable pulse generation. Here, we present an all-fiber laser cavity operating at 1.5-μm with a homemade sandwiched PbSe saturable absorber (SA), which enables stable high-energy pulses both in Q-switching and mode-locking operations. Notably, we report, for the first time, the generation of polarization-locked vector solitons (PLVSs) using a PbSe-QDs-based SA in the mode-locking regime. In the Q-switching operation, the repetition rate could be tuned from 12.48 kHz to 35.25 kHz by adjusting the pump power, yielding a maximum pulse energy of 208 nJ with a pulse width of 2.81 μs at the pump power of 183 mW. This represents the best performance reported to date for PbSe-QDs SAs. In the mode-locking regime, the PbSe-QDs SA also exhibited outstanding performance in generating ultrashort pulses, producing soliton pulses with a repetition rate of 28.51 MHz, an average output power of 26.80 mW, and a pulse duration of 673 fs. Further detailed characterization confirmed that these solitons are indeed PLVSs, marking the first realization of vector solitons with the PbSe-QDs SA. Moreover, the PbSe-QDs SA demonstrated excellent long-term stability in the constant mode locking over 6 h with a power fluctuation around 0.15%. These results highlight the exceptional optical properties of PbSe QDs and unambiguously imply the potential as a high-performance SA for applications in ultrafast optics, nonlinear photonics, optical modulators and related fields.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"207 ","pages":"Article 117921"},"PeriodicalIF":5.6,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146077046","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Structure and dynamics jointly stabilize the international trade hypergraph 结构与动态共同稳定了国际贸易超图

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2026-06-01 Epub Date: 2026-01-29 DOI: 10.1016/j.chaos.2026.117987

Jung-Ho Kim , Sudo Yi , Sang-Hwan Gwak , K.-I. Goh , D.-S. Lee

{"title":"Structure and dynamics jointly stabilize the international trade hypergraph","authors":"Jung-Ho Kim , Sudo Yi , Sang-Hwan Gwak , K.-I. Goh , D.-S. Lee","doi":"10.1016/j.chaos.2026.117987","DOIUrl":"10.1016/j.chaos.2026.117987","url":null,"abstract":"<div><div>To understand how fluctuations arise and are distributed in international trade, a question crucial for economic risk assessment and policymaking, we analyze strong adverse fluctuations–<em>collapsed trades</em>–defined as individual trades with sharp annual volume declines. Adopting a hypergraph framework for a fine-scale trade-centric representation of international trade, we find that collapsed trades (hyperedges) are clustered and their occurrence decays algebraically with trade volume (weight), which suggests inhomogeneous, epidemic-like spreading of collapse in the international trade hypergraph. Modeling collapse propagation as a contagion process and analyzing its dynamics, we show that a positive degree-weight correlation and a volume-decaying collapse rate synergistically suppress the onset of global collective collapse. Notably, the degree-weight correlation persisted but the volume-decay of the collapse rate weakened during the 2008–2009 global economic recession, resulting in a broader collapse spread. Our study shows how the interplay between structure and dynamics stabilizes complex systems.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"207 ","pages":"Article 117987"},"PeriodicalIF":5.6,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146057308","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Dynamical analysis of a fractional discrete-time Chua’s circuit system 分数阶离散时间蔡氏电路系统的动力学分析

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2026-05-01 Epub Date: 2026-01-23 DOI: 10.1016/j.chaos.2026.117983

Wenping Wang, Huanying Xu

{"title":"Dynamical analysis of a fractional discrete-time Chua’s circuit system","authors":"Wenping Wang, Huanying Xu","doi":"10.1016/j.chaos.2026.117983","DOIUrl":"10.1016/j.chaos.2026.117983","url":null,"abstract":"<div><div>In this paper, a fractional discrete Chua’s system exhibiting both chaotic and hyperchaotic behaviors is proposed. Stability analysis is conducted for both commensurate and incommensurate fractional orders at equilibrium points, supported by numerical calculations and simulations. The critical point of Hopf bifurcation is determined for commensurate orders. To understand how order asymmetry influences the dynamic complexity of a fractional system, a principle named Synchronous Order Maximum Entropy Theorem is proposed. The study focuses on diverse attractors, including quasi-periodic, chaotic, periodic, and hyperchaotic types, as well as the coexistence of multiple attractors under specific parameter settings. Notably, the system demonstrates the coexistence of offset-boosted and initial-switched boosting behaviors, which are rarely observed in discrete systems. Furthermore, synchronization of the fractional discrete Chua’s system is achieved. The results demonstrate that the proposed fractional discrete Chua’s system exhibits remarkably rich and complex dynamical characteristics. Finally, an image encryption application based on this system is presented to illustrate its practical potential.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"206 ","pages":"Article 117983"},"PeriodicalIF":5.6,"publicationDate":"2026-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146033514","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Traveling wave solutions of the doubly regularized nonlinear Boussinesq equation 双正则非线性Boussinesq方程的行波解

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2026-05-01 Epub Date: 2026-01-23 DOI: 10.1016/j.chaos.2026.117967

H.A. Erbay, S. Erbay

引用次数: 0

Modeling chaotic synchronization dynamics using Koopman Physics-Informed Neural Networks 基于Koopman物理信息神经网络的混沌同步动力学建模

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2026-05-01 Epub Date: 2026-01-22 DOI: 10.1016/j.chaos.2026.117944

N.P. Sasikumar, P. Balasubramaniam

引用次数: 0

Effect of asymmetric persistence in the modified nonlinear Langevin model on behavior of extremes in generated time series 修正非线性Langevin模型的不对称持续性对生成时间序列极值行为的影响

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2026-05-01 Epub Date: 2026-01-14 DOI: 10.1016/j.chaos.2026.117914

Zbigniew Czechowski , Luciano Telesca

引用次数: 0

Existence and stability of vector vortex solitons in nematic liquid crystals 向列液晶中矢量涡旋孤子的存在与稳定性

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2026-05-01 Epub Date: 2026-01-27 DOI: 10.1016/j.chaos.2026.117946

Hui-Cong Zhang, Ming-Xu Yang, Zhi-Xuan Wang

引用次数: 0

Comparative analysis of local variant resistance distance-based gravity model for the identification of influential nodes 基于局部变异阻力距离的重力模型影响节点识别的比较分析

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2026-05-01 Epub Date: 2026-01-17 DOI: 10.1016/j.chaos.2026.117930

Wasim Sajjad, Yi Jiang

引用次数: 0