arXiv - PHYS - Chaotic Dynamics最新文献_第8页

Hilbert Space Diffusion in Systems with Approximate Symmetries 近似对称系统中的希尔伯特空间扩散

arXiv - PHYS - Chaotic Dynamics Pub Date : 2024-05-29 DOI: arxiv-2405.19260

Rahel L. Baumgartner, Luca V. Delacrétaz, Pranjal Nayak, Julian Sonner

引用次数: 0

Unorientable topological gravity and orthogonal random matrix universality 不可定向拓扑引力和正交随机矩阵普遍性

arXiv - PHYS - Chaotic Dynamics Pub Date : 2024-05-27 DOI: arxiv-2405.17177

Torsten Weber, Jarod Tall, Fabian Haneder, Juan Diego Urbina, Klaus Richter

{"title":"Unorientable topological gravity and orthogonal random matrix universality","authors":"Torsten Weber, Jarod Tall, Fabian Haneder, Juan Diego Urbina, Klaus Richter","doi":"arxiv-2405.17177","DOIUrl":"https://doi.org/arxiv-2405.17177","url":null,"abstract":"The duality of Jackiw-Teitelboim (JT) gravity and a double scaled matrix\u0000integral has led to studies of the canonical spectral form factor (SFF) in the\u0000so called $tau-$scaled limit of large times, $t to infty$, and fixed\u0000temperature in order to demonstrate agreement with universal random matrix\u0000theory (RMT). Though this has been established for the unitary case, extensions\u0000to other symmetry classes requires the inclusion of unorientable manifolds in\u0000the sum over geometries, necessary to address time reversal invariance, and\u0000regularization of the corresponding prime geometrical objects, the\u0000Weil-Petersson (WP) volumes. We report here how universal signatures of quantum\u0000chaos, witnessed by the fidelity to the Gaussian orthogonal ensemble, emerge\u0000for the low-energy limit of unorientable JT gravity, i.e. the Airy\u0000model/topological gravity. To this end, we implement the loop equations for the\u0000corresponding dual (double-scaled) matrix model and find the generic form of\u0000the Airy WP volumes, supported by calculations using unorientable Kontsevich\u0000graphs. In an apparent violation of the gravity/chaos duality, the\u0000$tau-$scaled SFF on the gravity side acquires both logarithmic and power law\u0000contributions in $t$, not manifestly present on the RMT side. We show the\u0000expressions can be made to agree by means of bootstrapping-like relations\u0000hidden in the asymptotic expansions of generalized hypergeometric functions.\u0000Thus, we are able to establish strong evidence of the quantum chaotic nature of\u0000unorientable topological gravity.","PeriodicalId":501167,"journal":{"name":"arXiv - PHYS - Chaotic Dynamics","volume":"85 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141167293","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

Orbital dynamics in galactic potentials under mass transfer 质量转移条件下银河势中的轨道动力学

arXiv - PHYS - Chaotic Dynamics Pub Date : 2024-05-25 DOI: arxiv-2405.16367

Eduárd Illés, Dániel Jánosi, Tamás Kovács

{"title":"Orbital dynamics in galactic potentials under mass transfer","authors":"Eduárd Illés, Dániel Jánosi, Tamás Kovács","doi":"arxiv-2405.16367","DOIUrl":"https://doi.org/arxiv-2405.16367","url":null,"abstract":"Time-dependent potentials are common in galactic systems that undergo\u0000significant evolution, interactions, or encounters with other galaxies, or when\u0000there are dynamic processes like star formation and merging events. Recent\u0000studies show that an ensemble approach along with the so-called snapshot\u0000framework in dynamical system theory provide a powerful tool to analyze time\u0000dependent dynamics. In this work, we aim to explore and quantify the phase space structure and\u0000dynamical complexity in time-dependent galactic potentials consisting of\u0000multiple components. We apply the classical method of Poincar'e-surface of\u0000section to analyze the phase space structure in a chaotic Hamiltonian system\u0000subjected to parameter drift. This, however, makes sense only when the\u0000evolution of a large ensemble of initial conditions is followed. Numerical\u0000simulations explore the phase space structure of such ensembles while the\u0000system undergoes a continuous parameter change. The pair-wise average distance\u0000of ensemble members allows us to define a generalized Lyapunov-exponent, that\u0000might also be time dependent, to describe the system stability. We revise the\u0000system parameters for the Milky Way galaxy and provide a comprehensive\u0000dynamical analysis of the system under circumstances where linear mass transfer\u0000undergoes between the disk and bulge components of the model.","PeriodicalId":501167,"journal":{"name":"arXiv - PHYS - Chaotic Dynamics","volume":"12 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141167257","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

Fully parallel implementation of digital memcomputing on FPGA 在 FPGA 上完全并行地实现数字内存计算

arXiv - PHYS - Chaotic Dynamics Pub Date : 2024-05-23 DOI: arxiv-2405.14442

Dyk Chung Nguyen, Yuriy V. Pershin

引用次数: 0

Quantum Chaos in Random Ising Networks 随机伊辛网络中的量子混沌

arXiv - PHYS - Chaotic Dynamics Pub Date : 2024-05-23 DOI: arxiv-2405.14376

András Grabarits, Kasturi Ranjan Swain, Mahsa Seyed Heydari, Pranav Chandarana, Fernando J. Gómez-Ruiz, Adolfo del Campo

引用次数: 0

Emergence of Navier-Stokes hydrodynamics in chaotic quantum circuits 混沌量子电路中出现的纳维-斯托克斯流体力学

arXiv - PHYS - Chaotic Dynamics Pub Date : 2024-05-22 DOI: arxiv-2405.13892

Hansveer Singh, Ewan McCulloch, Sarang Gopalakrishnan, Romain Vasseur

引用次数: 0

Flow of unitary matrices: Real-space winding numbers in one and three dimensions 单元矩阵的流动一维和三维实空间缠绕数

arXiv - PHYS - Chaotic Dynamics Pub Date : 2024-05-21 DOI: arxiv-2405.12537

F. Hamano, T. Fukui

引用次数: 0

On the role of Loewner entropy in statistical mechanics of 2D Ising system 论卢瓦纳熵在二维伊辛系统统计力学中的作用

arXiv - PHYS - Chaotic Dynamics Pub Date : 2024-05-21 DOI: arxiv-2405.12481

Yusuke Shibasaki

{"title":"On the role of Loewner entropy in statistical mechanics of 2D Ising system","authors":"Yusuke Shibasaki","doi":"arxiv-2405.12481","DOIUrl":"https://doi.org/arxiv-2405.12481","url":null,"abstract":"The fundamental properties of 2-dimensional (2D) Ising system were formulated\u0000using the Loewner theory. We focus on the role of the complexity measure of the\u00002D geometry, referred to as the Loewner entropy, to derive the\u0000statistical-mechanical relations of the 2D Ising system by analyzing the\u0000structure of the interface (i.e., the phase separation line). For the mixing\u0000property of the discrete Loewner evolution, we assume that the Loewner driving\u0000force ${iteta_s(n)}$ obtained from the interface has a stationary property,\u0000where the autocorrelation function $langle{iteta_s(0)eta_s(n)}rangle $\u0000converges in the long-time limit. Using this fact, we reconstruct the\u0000continuous Loewner evolution driven by the diffusion process whose increments\u0000correspond to the sequence of ${iteta_s(n)}$, and the fractal dimension of\u0000the generated curve was derived. We show that these formulations lead to a\u0000novel expression of the Hamiltonian, grand canonical ensemble of the system,\u0000which also are applicable for the non-equilibrium state of the system. In\u0000addition, the relations on the central limit theorem (CLT) governing the local\u0000fluctuation of the interface, the non-equilibrium free energy, and fluctuation\u0000dissipation relation (FDR) were derived using the Loewner theory. The present\u0000results suggest a possible form of the complexity-based theory of the 2D\u0000statistical mechanical systems that is applicable for the non-equilibrium\u0000states.","PeriodicalId":501167,"journal":{"name":"arXiv - PHYS - Chaotic Dynamics","volume":"162 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141151342","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

Explosive synchronization in coupled stars 耦合恒星中的爆炸同步

arXiv - PHYS - Chaotic Dynamics Pub Date : 2024-05-21 DOI: arxiv-2405.12516

Ruby Varshney, Kaustubh Manchanda, Haider Hasan Jafri

引用次数: 0

Spread and Spectral Complexity in Quantum Spin Chains: from Integrability to Chaos 量子自旋链的扩散和谱复杂性：从整体性到混沌

arXiv - PHYS - Chaotic Dynamics Pub Date : 2024-05-18 DOI: arxiv-2405.11254

Hugo A. Camargo, Kyoung-Bum Huh, Viktor Jahnke, Hyun-Sik Jeong, Keun-Young Kim, Mitsuhiro Nishida

{"title":"Spread and Spectral Complexity in Quantum Spin Chains: from Integrability to Chaos","authors":"Hugo A. Camargo, Kyoung-Bum Huh, Viktor Jahnke, Hyun-Sik Jeong, Keun-Young Kim, Mitsuhiro Nishida","doi":"arxiv-2405.11254","DOIUrl":"https://doi.org/arxiv-2405.11254","url":null,"abstract":"We explore spread and spectral complexity in quantum systems that exhibit a\u0000transition from integrability to chaos, namely the mixed-field Ising model and\u0000the next-to-nearest-neighbor deformation of the Heisenberg XXZ spin chain. We\u0000corroborate the observation that the presence of a peak in spread complexity\u0000before its saturation, is a characteristic feature in chaotic systems. We find\u0000that, in general, the saturation value of spread complexity post-peak depends\u0000not only on the spectral statistics of the Hamiltonian, but also on the\u0000specific state. However, there appears to be a maximal universal bound\u0000determined by the symmetries and dimension of the Hamiltonian, which is\u0000realized by the thermofield double state (TFD) at infinite temperature. We also\u0000find that the time scales at which the spread complexity and spectral form\u0000factor change their behaviour agree with each other and are independent of the\u0000chaotic properties of the systems. In the case of spectral complexity, we\u0000identify that the key factor determining its saturation value and timescale in\u0000chaotic systems is given by minimum energy difference in the theory's spectrum.\u0000This explains observations made in the literature regarding its earlier\u0000saturation in chaotic systems compared to their integrable counterparts. We\u0000conclude by discussing the properties of the TFD which, we conjecture, make it\u0000suitable for probing signatures of chaos in quantum many-body systems.","PeriodicalId":501167,"journal":{"name":"arXiv - PHYS - Chaotic Dynamics","volume":"52 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141151345","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