发布求助
文献互助 智能选刊 最新文献

arXiv - MATH - Mathematical Physics最新文献

筛选
英文 中文
Geometric Formula for 2d Ising Zeros: Examples & Numerics 2d Ising 零点几何公式：示例与数值
arXiv - MATH - Mathematical Physics Pub Date : 2024-09-17 DOI: arxiv-2409.11109
Iñaki Garay, Etera R. Livine
{"title":"Geometric Formula for 2d Ising Zeros: Examples & Numerics","authors":"Iñaki Garay, Etera R. Livine","doi":"arxiv-2409.11109","DOIUrl":"https://doi.org/arxiv-2409.11109","url":null,"abstract":"A geometric formula for the zeros of the partition function of the\u0000inhomogeneous 2d Ising model was recently proposed in terms of the angles of 2d\u0000triangulations embedded in the flat 3d space. Here we proceed to an analytical\u0000check of this formula on the cubic graph, dual to a double pyramid, and provide\u0000a thorough numerical check by generating random 2d planar triangulations. Our\u0000method is to generate Delaunay triangulations of the 2-sphere then performing\u0000random local rescalings. For every 2d triangulations, we compute the\u0000corresponding Ising couplings from the triangle angles and the dihedral angles,\u0000and check directly that the Ising partition function vanishes for these\u0000couplings (and grows in modulus in their neighborhood). In particular, we lift\u0000an ambiguity of the original formula on the sign of the dihedral angles and\u0000establish a convention in terms of convexity/concavity. Finally, we extend our\u0000numerical analysis to 2d toroidal triangulations and show that the geometric\u0000formula does not work and will need to be generalized, as originally expected,\u0000in order to accommodate for non-trivial topologies.","PeriodicalId":501312,"journal":{"name":"arXiv - MATH - Mathematical Physics","volume":"26 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142260397","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
Flatbands in tight-binding lattices with anisotropic potentials 具有各向异性势能的紧密结合网格中的平带
arXiv - MATH - Mathematical Physics Pub Date : 2024-09-17 DOI: arxiv-2409.11336
Arindam Mallick, Alexei Andreanov
{"title":"Flatbands in tight-binding lattices with anisotropic potentials","authors":"Arindam Mallick, Alexei Andreanov","doi":"arxiv-2409.11336","DOIUrl":"https://doi.org/arxiv-2409.11336","url":null,"abstract":"We consider tight-binding models on Bravais lattices with anisotropic onsite\u0000potentials that vary along a given direction and are constant along the\u0000transverse one. Inspired by our previous work on flatbands in\u0000anti-$mathcal{PT}$ symmetric Hamiltonians [Phys. Rev. A 105, L021305 (2022)],\u0000we construct an anti-$mathcal{PT}$ symmetric Hamiltonians with an $E=0$\u0000flatband by tuning the hoppings and the shapes of potentials. This construction\u0000is illustrated for the square lattice with bounded and unbounded potentials.\u0000Unlike flatbands in short-ranged translationally invariant Hamiltonians, we\u0000conjecture that the considered $E=0$ flatbands do not host compact localized\u0000states. Instead the flatband eigenstates exhibit a localization transition\u0000along the potential direction upon increasing the potential strength for\u0000bounded potentials. For unbounded potentials flatband eigenstates are always\u0000localized irrespective of the potential strength.","PeriodicalId":501312,"journal":{"name":"arXiv - MATH - Mathematical Physics","volume":"23 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142260448","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
Terminating Poincare asymptotic expansion of the Hankel transform of entire exponential type functions 整个指数型函数的汉克尔变换的终结泊恩卡雷渐近展开
arXiv - MATH - Mathematical Physics Pub Date : 2024-09-17 DOI: arxiv-2409.10948
Nathalie Liezel R. Rojas, Eric A. Galapon
{"title":"Terminating Poincare asymptotic expansion of the Hankel transform of entire exponential type functions","authors":"Nathalie Liezel R. Rojas, Eric A. Galapon","doi":"arxiv-2409.10948","DOIUrl":"https://doi.org/arxiv-2409.10948","url":null,"abstract":"We perform an asymptotic evaluation of the Hankel transform,\u0000$int_0^{infty}J_{nu}(lambda x) f(x)mathrm{d}x$, for arbitrarily large\u0000$lambda$ of an entire exponential type function, $f(x)$, of type $tau$ by\u0000shifting the contour of integration in the complex plane. Under the situation\u0000that $J_{nu}(lambda x)f(x)$ has an odd parity with respect to $x$ and the\u0000condition that the asymptotic parameter $lambda$ is greater than the type\u0000$tau$, we obtain an exactly terminating Poincar{'e} expansion without any\u0000trailing subdominant exponential terms. That is the Hankel transform evaluates\u0000exactly into a polynomial in inverse $lambda$ as $lambda$ approaches\u0000infinity.","PeriodicalId":501312,"journal":{"name":"arXiv - MATH - Mathematical Physics","volume":"29 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142260451","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
Non-Universality from Conserved Superoperators in Unitary Circuits 单元电路中来自守恒超运算器的非普遍性
arXiv - MATH - Mathematical Physics Pub Date : 2024-09-17 DOI: arxiv-2409.11407
Marco Lastres, Frank Pollmann, Sanjay Moudgalya
{"title":"Non-Universality from Conserved Superoperators in Unitary Circuits","authors":"Marco Lastres, Frank Pollmann, Sanjay Moudgalya","doi":"arxiv-2409.11407","DOIUrl":"https://doi.org/arxiv-2409.11407","url":null,"abstract":"An important result in the theory of quantum control is the \"universality\" of\u0000$2$-local unitary gates, i.e. the fact that any global unitary evolution of a\u0000system of $L$ qudits can be implemented by composition of $2$-local unitary\u0000gates. Surprisingly, recent results have shown that universality can break down\u0000in the presence of symmetries: in general, not all globally symmetric unitaries\u0000can be constructed using $k$-local symmetric unitary gates. This also restricts\u0000the dynamics that can be implemented by symmetric local Hamiltonians. In this\u0000paper, we show that obstructions to universality in such settings can in\u0000general be understood in terms of superoperator symmetries associated with\u0000unitary evolution by restricted sets of gates. These superoperator symmetries\u0000lead to block decompositions of the operator Hilbert space, which dictate the\u0000connectivity of operator space, and hence the structure of the dynamical Lie\u0000algebra. We demonstrate this explicitly in several examples by systematically\u0000deriving the superoperator symmetries from the gate structure using the\u0000framework of commutant algebras, which has been used to systematically derive\u0000symmetries in other quantum many-body systems. We clearly delineate two\u0000different types of non-universality, which stem from different structures of\u0000the superoperator symmetries, and discuss its signatures in physical\u0000observables. In all, our work establishes a comprehensive framework to explore\u0000the universality of unitary circuits and derive physical consequences of its\u0000absence.","PeriodicalId":501312,"journal":{"name":"arXiv - MATH - Mathematical Physics","volume":"54 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142260457","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
Deformations in spinor bundles: Lorentz violation and further physical implications 自旋束的变形：洛伦兹违反和进一步的物理意义
arXiv - MATH - Mathematical Physics Pub Date : 2024-09-17 DOI: arxiv-2409.11168
J. M. Hoff da Silva, R. T. Cavalcanti, G. M. Caires da Rocha
{"title":"Deformations in spinor bundles: Lorentz violation and further physical implications","authors":"J. M. Hoff da Silva, R. T. Cavalcanti, G. M. Caires da Rocha","doi":"arxiv-2409.11168","DOIUrl":"https://doi.org/arxiv-2409.11168","url":null,"abstract":"This paper delves into the deformation of spinor structures within nontrivial\u0000topologies and their physical implications. The deformation is modeled by\u0000introducing real functions that modify the standard spinor dynamics, leading to\u0000distinct physical regions characterized by varying degrees of Lorentz symmetry\u0000violation. It allows us to investigate the effects in the dynamical equation\u0000and a geometrized nonlinear sigma model. The findings suggest significant\u0000implications for the spinor fields in regions with nontrivial topologies,\u0000providing a robust mathematical approach to studying exotic spinor behavior.","PeriodicalId":501312,"journal":{"name":"arXiv - MATH - Mathematical Physics","volume":"19 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142260395","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
A Geometric Perspective on Kinetic Matter-Radiation Interaction and Moment Systems 动能物质-辐射相互作用和动量系统的几何视角
arXiv - MATH - Mathematical Physics Pub Date : 2024-09-17 DOI: arxiv-2409.11495
Brian K. Tran, Joshua W. Burby, Ben S. Southworth
{"title":"A Geometric Perspective on Kinetic Matter-Radiation Interaction and Moment Systems","authors":"Brian K. Tran, Joshua W. Burby, Ben S. Southworth","doi":"arxiv-2409.11495","DOIUrl":"https://doi.org/arxiv-2409.11495","url":null,"abstract":"We provide a geometric perspective on the kinetic interaction of matter and\u0000radiation, based on a metriplectic approach. We discuss the interaction of\u0000kinetic theories via dissipative brackets, with our fundamental example being\u0000the coupling of matter, described by the Boltzmann equation, and radiation,\u0000described by the radiation transport equation. We explore the transition from\u0000kinetic systems to their corresponding moment systems, provide a Hamiltonian\u0000description of such moment systems, and give a geometric interpretation of the\u0000moment closure problem for kinetic theories. As applications, we discuss in\u0000detail diffusion radiation hydrodynamics as an example of a geometric moment\u0000closure of kinetic matter-radiation interaction and additionally, we apply the\u0000variable moment closure framework of Burby (2023) to derive novel Hamiltonian\u0000moment closures for pure radiation transport and discuss an interesting\u0000connection to the Hamiltonian fluid closures derived by Burby (2023).","PeriodicalId":501312,"journal":{"name":"arXiv - MATH - Mathematical Physics","volume":"207 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142260381","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
Meson mass spectrum in QCD$_2$ 't Hooft's model QCD$_2$ 't Hooft's 模型中的介子质量谱
arXiv - MATH - Mathematical Physics Pub Date : 2024-09-17 DOI: arxiv-2409.11324
Alexey Litvinov, Pavel Meshcheriakov
{"title":"Meson mass spectrum in QCD$_2$ 't Hooft's model","authors":"Alexey Litvinov, Pavel Meshcheriakov","doi":"arxiv-2409.11324","DOIUrl":"https://doi.org/arxiv-2409.11324","url":null,"abstract":"We study the spectrum of meson masses in large $N_c$ QCD$_2$ governed by\u0000celebrated 't Hooft's integral equation. We generalize analytical methods\u0000proposed by Fateev, Lukyanov and Zamolodchikov to the case of arbitrary, but\u0000equal quark masses $m_1=m_2.$ Our results include analytical expressions for\u0000spectral sums and systematic large-$n$ expansion.","PeriodicalId":501312,"journal":{"name":"arXiv - MATH - Mathematical Physics","volume":"41 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142260449","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
An Observer-Based View of Euclidean Geometry 基于观察者的欧几里得几何观
arXiv - MATH - Mathematical Physics Pub Date : 2024-09-17 DOI: arxiv-2409.10843
Newshaw Bahreyni, Carlo Cafaro, Leonardo Rossetti
{"title":"An Observer-Based View of Euclidean Geometry","authors":"Newshaw Bahreyni, Carlo Cafaro, Leonardo Rossetti","doi":"arxiv-2409.10843","DOIUrl":"https://doi.org/arxiv-2409.10843","url":null,"abstract":"Influence network of events is a view of the universe based on events that\u0000may be related to one another via influence. The network of events form a\u0000partially-ordered set which, when quantified consistently via a technique\u0000called chain projection, results in the emergence of spacetime and the\u0000Minkowski metric as well as the Lorentz transformation through changing an\u0000observer from one frame to another. Interestingly, using this approach, the\u0000motion of a free electron as well as the Dirac equation can be described.\u0000Indeed, the same approach can be employed to show how a discrete version of\u0000some of the features of Euclidean geometry, including directions, dimensions,\u0000subspaces, Pythagorean theorem, and geometric shapes can emerge. In this paper, after reviewing the essentials of the influence network\u0000formalism, we build on some of our previous works to further develop aspects of\u0000Euclidean geometry. Specifically, we present the emergence of geometric shapes,\u0000a discrete version of the Parallel postulate, the dot product, and the outer\u0000(wedge product) in 2+1 dimensions. Finally, we show that the scalar\u0000quantification of two concatenated orthogonal intervals exhibits features that\u0000are similar to those of the well-known concept of geometric product in\u0000geometric Clifford algebras.","PeriodicalId":501312,"journal":{"name":"arXiv - MATH - Mathematical Physics","volume":"15 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142260447","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
Quantifying non-Markovianity via local quantum Fisher information 通过局部量子费雪信息量化非马尔可夫性
arXiv - MATH - Mathematical Physics Pub Date : 2024-09-16 DOI: arxiv-2409.10163
Yassine Dakir, Abdallah Slaoui, Lalla Btissam Drissi, Rachid Ahl Laamara
{"title":"Quantifying non-Markovianity via local quantum Fisher information","authors":"Yassine Dakir, Abdallah Slaoui, Lalla Btissam Drissi, Rachid Ahl Laamara","doi":"arxiv-2409.10163","DOIUrl":"https://doi.org/arxiv-2409.10163","url":null,"abstract":"Non-Markovian dynamics in open quantum systems arise when the system's\u0000evolution is influenced by its past interactions with the environment. Here, we\u0000present a novel metric for quantifying non-Markovianity based on local quantum\u0000Fisher information (LQFI). The proposed metric offers a distinct perspective\u0000compared to existing measures, providing a deeper understanding of information\u0000flow between the system and its environment. By comparing the LQFI-based\u0000measure to the LQU-based measure, we demonstrate its effectiveness in detecting\u0000non-Markovianity and its ability to capture the degree of non-Markovian\u0000behavior in various quantum channels. Furthermore, we show that a positive time\u0000derivative of LQFI signals the flow of information from the environment to the\u0000system, providing a clear interpretation of non-Markovian dynamics. Finally,\u0000the computational efficiency of the LQFI-based measure makes it a practical\u0000tool for characterizing non-Markovianity in diverse physical systems.","PeriodicalId":501312,"journal":{"name":"arXiv - MATH - Mathematical Physics","volume":"188 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142260464","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
Hypercubes, $n$-groupoids, and mixtures 超立方体、$n$基元和混合物
arXiv - MATH - Mathematical Physics Pub Date : 2024-09-16 DOI: arxiv-2409.10730
Marcelo Epstein
{"title":"Hypercubes, $n$-groupoids, and mixtures","authors":"Marcelo Epstein","doi":"arxiv-2409.10730","DOIUrl":"https://doi.org/arxiv-2409.10730","url":null,"abstract":"The theory of composite mixtures consisting of $n$ constituents is framed\u0000within the schema provided by the notion of $n$-groupoid. The point of\u0000departure is the analysis of $n$-dimensional hypercubes and their skeletons, to\u0000each of whose edges an element (an arrow) of one of $n$ given material\u0000groupoids is assigned according to the coordinate class to which it belongs. In\u0000this way a $GL(3,{mathbb R})$-weighted digraph is obtained. It is shown that\u0000if the double groupoid associated with each pair of constituents consists of\u0000commuting squares, the resulting $n$-groupoid is conservative. The core of this\u0000$n$-groupoid is transitive if, and only if, the mixture is materially uniform.","PeriodicalId":501312,"journal":{"name":"arXiv - MATH - Mathematical Physics","volume":"9 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142260454","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
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信