发布求助
文献互助 智能选刊 最新文献

Communications in Mathematical Physics最新文献

筛选
英文 中文
Time-Dependent Hamiltonian Simulation via Magnus Expansion: Algorithm and Superconvergence 基于Magnus展开的时变哈密顿模拟：算法与超收敛
IF 2.2 1区 物理与天体物理
Communications in Mathematical Physics Pub Date : 2025-05-07 DOI: 10.1007/s00220-025-05314-5
Di Fang, Diyi Liu, Rahul Sarkar
{"title":"Time-Dependent Hamiltonian Simulation via Magnus Expansion: Algorithm and Superconvergence","authors":"Di Fang,&nbsp;Diyi Liu,&nbsp;Rahul Sarkar","doi":"10.1007/s00220-025-05314-5","DOIUrl":"10.1007/s00220-025-05314-5","url":null,"abstract":"<div><p>Hamiltonian simulation becomes more challenging as the underlying unitary becomes more oscillatory. In such cases, an algorithm with commutator scaling and a weak dependence, such as logarithmic, on the derivatives of the Hamiltonian is desired. We introduce a new time-dependent Hamiltonian simulation algorithm based on the Magnus expansion that exhibits both features. Importantly, when applied to unbounded Hamiltonian simulation in the interaction picture, we prove that the commutator in the second-order algorithm leads to a surprising fourth-order superconvergence, with an error preconstant independent of the number of spatial grids. This extends the qHOP algorithm (An et al. in Quantum 6:690, 2022) based on first-order Magnus expansion, and the proof of superconvergence is based on semiclassical analysis that is of independent interest.</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"406 6","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143913836","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Energy-Limited Quantum Dynamics 能量有限的量子动力学
IF 2.2 1区 物理与天体物理
Communications in Mathematical Physics Pub Date : 2025-05-05 DOI: 10.1007/s00220-025-05282-w
Lauritz van Luijk
{"title":"Energy-Limited Quantum Dynamics","authors":"Lauritz van Luijk","doi":"10.1007/s00220-025-05282-w","DOIUrl":"10.1007/s00220-025-05282-w","url":null,"abstract":"<div><p>We consider quantum systems with energy constraints relative to a reference Hamiltonian. In general, quantum channels and continuous-time dynamics need not satisfy energy conservation. Physically meaningful channels, however, only introduce a finite amount of energy to the system, and continuous-time dynamics only increase the energy gradually over time. We systematically study such “energy-limited” channels and dynamics. For Markovian dynamics, energy-limitedness is equivalent to a single operator inequality in the Heisenberg picture. We observe new submultiplicativity inequalities for the energy-constrained diamond and operator norm. As an application, we derive new state-dependent continuity bounds for quantum speed limits.</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"406 5","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00220-025-05282-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143904679","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Remarks on the (mathbb {Z}/p) Dijkgraaf-Witten Invariants of 3D Mapping Tori 三维映射环面的(mathbb {Z}/p) Dijkgraaf-Witten不变量的注释
IF 2.2 1区 物理与天体物理
Communications in Mathematical Physics Pub Date : 2025-05-05 DOI: 10.1007/s00220-025-05279-5
William Chen, Alex Kontorovich, Shehryar Sikander
{"title":"Remarks on the (mathbb {Z}/p) Dijkgraaf-Witten Invariants of 3D Mapping Tori","authors":"William Chen,&nbsp;Alex Kontorovich,&nbsp;Shehryar Sikander","doi":"10.1007/s00220-025-05279-5","DOIUrl":"10.1007/s00220-025-05279-5","url":null,"abstract":"<div><p>We make some remarks on the <span>(mathbb {Z}/p)</span> Dijkgraaf-Witten invariants of 3D mapping tori and determine the asymptotic behavior of their sum over all diffeomorphism classes of 3D mapping tori of genus one.</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"406 5","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143904680","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Interlacing Triangles, Schubert Puzzles, and Graph Colorings 交错三角形，舒伯特谜题和图形着色
IF 2.2 1区 物理与天体物理
Communications in Mathematical Physics Pub Date : 2025-05-03 DOI: 10.1007/s00220-025-05312-7
Christian Gaetz, Yibo Gao
{"title":"Interlacing Triangles, Schubert Puzzles, and Graph Colorings","authors":"Christian Gaetz,&nbsp;Yibo Gao","doi":"10.1007/s00220-025-05312-7","DOIUrl":"10.1007/s00220-025-05312-7","url":null,"abstract":"<div><p>We show that <i>interlacing triangular arrays</i>, introduced by Aggarwal–Borodin–Wheeler to study certain probability measures, can be used to compute structure constants for multiplying Schubert classes in the <i>K</i>-theory of Grassmannians, in the cohomology of their cotangent bundles, and in the cohomology of partial flag varieties. Our results are achieved by establishing a splitting lemma, allowing for interlacing triangular arrays of high rank to be decomposed into arrays of lower rank, and by constructing a bijection between interlacing triangular arrays of rank 3 with certain proper vertex colorings of the triangular grid graph that factors through generalizations of Knutson–Tao puzzles. Along the way, we prove one enumerative conjecture of Aggarwal–Borodin–Wheeler and disprove another.</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"406 5","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143900833","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Free Field Realisation of Boundary Vertex Algebras for Abelian Gauge Theories in Three Dimensions 三维阿贝尔规范理论边界顶点代数的自由场实现
IF 2.2 1区 物理与天体物理
Communications in Mathematical Physics Pub Date : 2025-04-29 DOI: 10.1007/s00220-024-05207-z
Christopher Beem, Andrea E. V. Ferrari
{"title":"Free Field Realisation of Boundary Vertex Algebras for Abelian Gauge Theories in Three Dimensions","authors":"Christopher Beem,&nbsp;Andrea E. V. Ferrari","doi":"10.1007/s00220-024-05207-z","DOIUrl":"10.1007/s00220-024-05207-z","url":null,"abstract":"<div><p>We study the boundary vertex algebras of <i>A</i>-twisted <span>(mathcal {N}=4)</span> Abelian gauge theories in three dimensions. These are identified with the BRST quotient (semi-infinite cohomology) of collections of symplectic bosons and free fermions that reflect the matter content of the corresponding gauge theory. We develop various free field realisations for these vertex algebras which we propose to interpret in terms of their localisation on their associated varieties. We derive the free field realisations by bosonising the elementary symplectic bosons and free fermions and then calculating the relevant semi-infinite cohomology, which can be done systematically. An interesting feature of our construction is that for certain preferred free field realisations, the outer automorphism symmetry of the vertex algebras in question (which are identified with the symmetries of the Coulomb branch in the infrared) are made manifest.</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"406 5","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143883608","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Feynman Graph Integrals on (mathbb {C}^d) 费曼图积分 (mathbb {C}^d)
IF 2.2 1区 物理与天体物理
Communications in Mathematical Physics Pub Date : 2025-04-21 DOI: 10.1007/s00220-025-05298-2
Minghao Wang
{"title":"Feynman Graph Integrals on (mathbb {C}^d)","authors":"Minghao Wang","doi":"10.1007/s00220-025-05298-2","DOIUrl":"10.1007/s00220-025-05298-2","url":null,"abstract":"<div><p>We introduce a type of graph integrals which are holomorphic analogs of configuration space integrals. We prove their (ultraviolet) finiteness by considering a compactification of the moduli space of graphs with metrics, and study their failure to be holomorphic.</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"406 5","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143856541","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Stability of the Concentration Inequality on Polynomials 多项式上浓度不等式的稳定性
IF 2.2 1区 物理与天体物理
Communications in Mathematical Physics Pub Date : 2025-04-21 DOI: 10.1007/s00220-025-05292-8
María Ángeles García-Ferrero, Joaquim Ortega-Cerdá
{"title":"Stability of the Concentration Inequality on Polynomials","authors":"María Ángeles García-Ferrero,&nbsp;Joaquim Ortega-Cerdá","doi":"10.1007/s00220-025-05292-8","DOIUrl":"10.1007/s00220-025-05292-8","url":null,"abstract":"<div><p>In this paper, we study the stability of the concentration inequality for one-dimensional complex polynomials. We provide the stability of the local concentration inequality and a global version using a Wehrl-type entropy.</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"406 5","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00220-025-05292-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143856662","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Magnetic Tunneling Between Disc-Shaped Obstacles 圆盘状障碍物之间的磁隧穿
IF 2.2 1区 物理与天体物理
Communications in Mathematical Physics Pub Date : 2025-04-21 DOI: 10.1007/s00220-025-05295-5
Søren Fournais, Léo Morin
{"title":"Magnetic Tunneling Between Disc-Shaped Obstacles","authors":"Søren Fournais,&nbsp;Léo Morin","doi":"10.1007/s00220-025-05295-5","DOIUrl":"10.1007/s00220-025-05295-5","url":null,"abstract":"<div><p>In this paper we derive formulae for the semiclassical tunneling in the presence of a constant magnetic field in 2 dimensions. The ‘wells’ in the problem are identical discs with Neumann boundary conditions, so we study the magnetic Neumann Laplacian in the complement of a set of discs. We provide a reduction method to an interaction matrix, which works for a general configuration of obstacles. When there are two discs, we deduce an asymptotic formula for the spectral gap. When the discs are placed along a regular lattice, we derive an effective operator which gives rise to the famous Harper’s equation. Main challenges in this problem compared to recent results on magnetic tunneling are the fact that one-well ground states have non-trivial angular momentum which depends on the semiclassical parameter, and the existence of eigenvalue crossings.</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"406 5","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00220-025-05295-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143856664","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the Asymptotic Behavior of the NNLIF Neuron Model for General Connectivity Strength 论一般连接强度下 NNLIF 神经元模型的渐近行为
IF 2.2 1区 物理与天体物理
Communications in Mathematical Physics Pub Date : 2025-04-21 DOI: 10.1007/s00220-025-05287-5
María J. Cáceres, José A. Cañizo, Alejandro Ramos-Lora
{"title":"On the Asymptotic Behavior of the NNLIF Neuron Model for General Connectivity Strength","authors":"María J. Cáceres,&nbsp;José A. Cañizo,&nbsp;Alejandro Ramos-Lora","doi":"10.1007/s00220-025-05287-5","DOIUrl":"10.1007/s00220-025-05287-5","url":null,"abstract":"<div><p>We prove new results on the asymptotic behavior of the nonlinear integrate-and-fire neuron model. Among them, we give a criterion for the linearized stability or instability of equilibria, without restriction on the connectivity parameter, which provides a proof of stability or instability in some cases. In all cases, this criterion can be checked numerically, allowing us to give a full picture of the stable and unstable equilibria depending on the connectivity parameter <i>b</i> and transmission delay <i>d</i>. We also give further spectral results on the associated linear equation, and use them to give improved results on the nonlinear stability of equilibria for weak connectivity, and on the link between linearized and nonlinear stability.\u0000</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"406 5","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00220-025-05287-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143856666","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Spacetime Limit Shapes of the KPZ Equation in the Upper Tails 上尾KPZ方程的时空极限形状
IF 2.2 1区 物理与天体物理
Communications in Mathematical Physics Pub Date : 2025-04-21 DOI: 10.1007/s00220-025-05284-8
Yier Lin, Li-Cheng Tsai
{"title":"Spacetime Limit Shapes of the KPZ Equation in the Upper Tails","authors":"Yier Lin,&nbsp;Li-Cheng Tsai","doi":"10.1007/s00220-025-05284-8","DOIUrl":"10.1007/s00220-025-05284-8","url":null,"abstract":"<div><p>We consider the <i>n</i>-point, fixed-time large deviations of the KPZ equation with the narrow wedge initial condition. The scope consists of concave-configured, upper-tail deviations and a wide range of scaling regimes that allows time to be short, unit-order, and long. We prove the <i>n</i>-point large deviation principle and characterize, with proof, the corresponding spacetime limit shape. Our proof is based on the results—from the companion paper (Tsai in High moments of the SHE in the clustering regimes, 2023)—on moments of the stochastic heat equation and utilizes ideas coming from a tree decomposition. Behind our proof lies the phenomenon where the major contribution of the noise concentrates around certain corridors in spacetime, and we explicitly describe the corridors.</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"406 5","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143856665","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","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