arXiv - PHYS - Pattern Formation and Solitons最新文献_第9页

Non-reciprocal breathing solitons 非互惠呼吸孤子

arXiv - PHYS - Pattern Formation and Solitons Pub Date : 2024-05-17 DOI: arxiv-2405.10562

Martin Brandenbourger, Oleksandr Gamayun, Jonas Veenstra, Freek van Gorp, Hans Terwisscha-Dekker, Jean-Sébastien Caux, Corentin Coulais

{"title":"Non-reciprocal breathing solitons","authors":"Martin Brandenbourger, Oleksandr Gamayun, Jonas Veenstra, Freek van Gorp, Hans Terwisscha-Dekker, Jean-Sébastien Caux, Corentin Coulais","doi":"arxiv-2405.10562","DOIUrl":"https://doi.org/arxiv-2405.10562","url":null,"abstract":"Breathing solitons consist of a fast beating wave within a compact envelope\u0000of stable shape and velocity. They manifest themselves in a variety of contexts\u0000such as plasmas, optical fibers and cold atoms, but have remained elusive when\u0000energy conservation is broken. Here, we report on the observation of breathing,\u0000unidirectional, arbitrarily long-lived solitons in non-reciprocal,\u0000non-conservative active metamaterials. Combining precision desktop experiments,\u0000numerical simulations and perturbation theory on generalizations of the\u0000sine-Gordon and nonlinear Schr\"odinger equations, we demonstrate that\u0000unidirectional breathers generically emerge in weakly nonlinear non-reciprocal\u0000materials, and that their dynamics are governed by an unstable fixed point.\u0000Crucially, breathing solitons can persist for arbitrarily long times provided:\u0000(i) this fixed point displays a bifurcation upon reachin a delicate balance\u0000between energy injection and dissipation; (ii) the initial conditions allow the\u0000dynamics to reach this bifurcation point. Our work establishes non-reciprocity\u0000as a promising avenue to generate stable nonlinear unidirectional waves, and\u0000could be generalized beyond metamaterials to optics, soft matter and\u0000superconducting circuits.","PeriodicalId":501370,"journal":{"name":"arXiv - PHYS - Pattern Formation and Solitons","volume":"69 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141151344","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Scalable synchronization cluster in networked chaotic oscillators 网络混沌振荡器中的可扩展同步集群

arXiv - PHYS - Pattern Formation and Solitons Pub Date : 2024-05-14 DOI: arxiv-2405.08844

Huawei Fan, Yafeng Wang, Yao Du, Haibo Qiu, Xingang Wang

{"title":"Scalable synchronization cluster in networked chaotic oscillators","authors":"Huawei Fan, Yafeng Wang, Yao Du, Haibo Qiu, Xingang Wang","doi":"arxiv-2405.08844","DOIUrl":"https://doi.org/arxiv-2405.08844","url":null,"abstract":"Cluster synchronization in synthetic networks of coupled chaotic oscillators\u0000is investigated. It is found that despite the asymmetric nature of the network\u0000structure, a subset of the oscillators can be synchronized as a cluster while\u0000the other oscillators remain desynchronized. Interestingly, with the increase\u0000of the coupling strength, the cluster is expanding gradually by recruiting the\u0000desynchronized oscillators one by one. This new synchronization phenomenon,\u0000which is named ``scalable synchronization cluster\", is explored theoretically\u0000by the method of eigenvector-based analysis, and it is revealed that the\u0000scalability of the cluster is attributed to the unique feature of the\u0000eigenvectors of the network coupling matrix. The transient dynamics of the\u0000cluster in response to random perturbations are also studied, and it is shown\u0000that in restoring to the synchronization state, oscillators inside the cluster\u0000are stabilized in sequence, illustrating again the hierarchy of the\u0000oscillators. The findings shed new light on the collective behaviors of\u0000networked chaotic oscillators, and are helpful for the design of real-world\u0000networks where scalable synchronization clusters are concerned.","PeriodicalId":501370,"journal":{"name":"arXiv - PHYS - Pattern Formation and Solitons","volume":"24 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141060708","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Fine structure of soliton bound states in the parametrically driven, damped nonlinear Schrödinger equation 参数驱动阻尼非线性薛定谔方程中孤子束缚态的精细结构

arXiv - PHYS - Pattern Formation and Solitons Pub Date : 2024-05-11 DOI: arxiv-2405.06987

M. M. Bogdan, O. V. Charkina

引用次数: 0

Gravitating Scalarons with Inverted Higgs Potential 具有反希格斯势能的引力标量子

arXiv - PHYS - Pattern Formation and Solitons Pub Date : 2024-05-10 DOI: arxiv-2405.06407

Xiao Yan Chew, Kok-Geng Lim

引用次数: 0

Kerr nonlinearity effect on the stability of Wannier-Stark states in active optical systems 克尔非线性对有源光学系统中万尼尔-斯塔克态稳定性的影响

arXiv - PHYS - Pattern Formation and Solitons Pub Date : 2024-05-08 DOI: arxiv-2405.05018

Alexey Verbitskiy, Alexey Yulin

引用次数: 0

Insensitive edge solitons in non-Hermitian topological lattices 非赫米提拓扑晶格中的不敏感边缘孤子

arXiv - PHYS - Pattern Formation and Solitons Pub Date : 2024-05-08 DOI: arxiv-2405.05441

Bertin Many Manda, Vassos Achilleos

引用次数: 0

Riemann problem for polychromatic soliton gases: a testbed for the spectral kinetic theory 多色孤子气体的黎曼问题：光谱动力学理论的试验台

arXiv - PHYS - Pattern Formation and Solitons Pub Date : 2024-05-08 DOI: arxiv-2405.05166

T. Congy, H. T. Carr, G. Roberti, G. A. El

{"title":"Riemann problem for polychromatic soliton gases: a testbed for the spectral kinetic theory","authors":"T. Congy, H. T. Carr, G. Roberti, G. A. El","doi":"arxiv-2405.05166","DOIUrl":"https://doi.org/arxiv-2405.05166","url":null,"abstract":"We use Riemann problem for soliton gas as a benchmark for a detailed\u0000numerical validation of the spectral kinetic theory for the Korteweg-de Vries\u0000(KdV) and the focusing nonlinear Schr\"odinger (fNLS) equations. We construct\u0000weak solutions to the kinetic equation for soliton gas describing collision of\u0000two dense \"polychromatic\" soliton gases composed of a finite number of\u0000\"monochromatic\" components, each consisting of solitons with nearly identical\u0000spectral parameters of the scattering operator in the Lax pair. The interaction\u0000between the gas components plays the key role in the emergent, large-scale\u0000hydrodynamic evolution. We then use the solutions of the spectral kinetic\u0000equation to evaluate macroscopic physical observables in KdV and fNLS soliton\u0000gases and compare them with the respective ensemble averages extracted from the\u0000\"exact\" soliton gas numerical solutions of the KdV and fNLS equations. To\u0000numerically synthesise dense polychromatic soliton gases we develop a new\u0000method which combines recent advances in the spectral theory of the so-called\u0000soliton condensates and the effective algorithms for the numerical realisation\u0000of $n$-soliton solutions with large $n$.","PeriodicalId":501370,"journal":{"name":"arXiv - PHYS - Pattern Formation and Solitons","volume":"43 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140938070","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Quench dynamics of Wannier-Stark states in an active synthetic photonic lattice 有源合成光子晶格中万尼尔-斯塔克态的淬火动力学

arXiv - PHYS - Pattern Formation and Solitons Pub Date : 2024-05-08 DOI: arxiv-2405.04774

Alexander Dikopoltsev, Ina Heckelmann, Mathieu Bertrand, Mattias Beck, Giacomo Scalari, Oded Zilberberg, Jerome Faist

{"title":"Quench dynamics of Wannier-Stark states in an active synthetic photonic lattice","authors":"Alexander Dikopoltsev, Ina Heckelmann, Mathieu Bertrand, Mattias Beck, Giacomo Scalari, Oded Zilberberg, Jerome Faist","doi":"arxiv-2405.04774","DOIUrl":"https://doi.org/arxiv-2405.04774","url":null,"abstract":"Photonic emulators have facilitated the investigation of numerous solid-state\u0000phenomena and have contributed to the development of optical devices inspired\u0000by quantum mechanics. Although current photonic emulators are constrained to\u0000bosonic behavior with local interactions, the utilization of active synthetic\u0000lattices holds promise for surpassing these limitations. In this study, we\u0000propose employing the modulated ring fast-gain laser as a foundation for\u0000emulating quench dynamics within a synthetic lattice that conforms to equal\u0000density filling of its reciprocal space. To illustrate the effectiveness of\u0000this emulation platform, we subject a dispersed Wannier-Stark ladder to\u0000quenching and directly observe oscillations, enabled by the fast-gain, along\u0000with their coherent stabilization to a single Wannier stark state. These\u0000coherent dynamics stem directly from our lasers liquid state of light, a\u0000characteristic resulting from fast-gain and explained by the rapid decay of\u0000fluctuations occurring on the system's shortest timescale. Additionally, by\u0000adequately biasing the lattice through detuning the modulation from the cavity\u0000resonance, this process supports oscillatory dynamics within the synthetic\u0000space.","PeriodicalId":501370,"journal":{"name":"arXiv - PHYS - Pattern Formation and Solitons","volume":"32 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140938069","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Predicting positon solutions of a family of Nonlinear Schrödinger equations through Deep Learning algorithm 通过深度学习算法预测非线性薛定谔方程组的位置解

arXiv - PHYS - Pattern Formation and Solitons Pub Date : 2024-05-08 DOI: arxiv-2405.04968

K. Thulasidharan, N. Vishnu Priya, S. Monisha, M. Senthilvelan

引用次数: 0

Phase-induced vortex pinning in rotating supersolid dipolar systems 旋转超固二极性系统中的相位诱导涡流针销

arXiv - PHYS - Pattern Formation and Solitons Pub Date : 2024-05-08 DOI: arxiv-2405.05099

Aitor Alaña, Michele Modugno, Pablo Capuzzi, D. M. Jezek

引用次数: 0