Letters in Mathematical Physics最新文献

Some rigidity results for complete totally trapped submanifolds in generalized Robertson–Walker spacetimes 广义Robertson-Walker时空中完全俘获子流形的一些刚性结果

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2025-05-26 DOI: 10.1007/s11005-025-01947-8

M. Andrade, F. C. Cruz Jr., R. F. Figueira, E. A. Lima Jr.

引用次数: 0

The heat flow conjecture for polynomials and random matrices 多项式和随机矩阵的热流猜想

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2025-05-26 DOI: 10.1007/s11005-025-01946-9

Brian C. Hall, Ching-Wei Ho

{"title":"The heat flow conjecture for polynomials and random matrices","authors":"Brian C. Hall, Ching-Wei Ho","doi":"10.1007/s11005-025-01946-9","DOIUrl":"10.1007/s11005-025-01946-9","url":null,"abstract":"<div>We study the evolution of the roots of a polynomial of degree N, when the polynomial itself is evolving according to the heat flow. We propose a general conjecture for the large-N limit of this evolution. Specifically, we propose (1) that the log potential of the limiting root distribution should evolve according to a certain first-order, nonlinear PDE, and (2) that the limiting root distribution at a general time should be the push-forward of the initial distribution under a certain explicit transport map. These results should hold for sufficiently small times, that is, until singularities begin to form. We offer three lines of reasoning in support of our conjecture. First, from a random matrix perspective, the conjecture is supported by a deformation theorem for the second moment of the characteristic polynomial of certain random matrix models. Second, from a dynamical systems perspective, the conjecture is supported by the computation of the second derivative of the roots with respect to time, which is formally small before singularities form. Third, from a PDE perspective, the conjecture is supported by the exact PDE satisfied by the log potential of the empirical root distribution of the polynomial, which formally converges to the desired PDE as (Nrightarrow infty ). We also present a “multiplicative” version of the the conjecture, supported by similar arguments. Finally, we verify rigorously that the conjectures hold at the level of the holomorphic moments.</div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 3","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-025-01946-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144140237","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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

Minimal velocity bound for Schrödinger-type operator with fractional powers 分数阶算子Schrödinger-type的最小速度界

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2025-05-24 DOI: 10.1007/s11005-025-01943-y

Atsuhide Ishida

引用次数: 0

An integral representation for the Dirac propagator in the Reissner–Nordström geometry in Eddington–Finkelstein coordinates Eddington-Finkelstein坐标下Reissner-Nordström几何中狄拉克传播子的积分表示

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2025-05-24 DOI: 10.1007/s11005-025-01951-y

Felix Finster, Christoph Krpoun

引用次数: 0

Universal coarse geometry of spin systems 自旋系统的通用粗几何

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2025-05-23 DOI: 10.1007/s11005-025-01949-6

Ali Elokl, Corey Jones

{"title":"Universal coarse geometry of spin systems","authors":"Ali Elokl, Corey Jones","doi":"10.1007/s11005-025-01949-6","DOIUrl":"10.1007/s11005-025-01949-6","url":null,"abstract":"<div>The prospect of realizing highly entangled states on quantum processors with fundamentally different hardware geometries raises the question: to what extent does a state of a quantum spin system have an intrinsic geometry? In this paper, we propose that both states and dynamics of a spin system have a canonically associated coarse geometry, in the sense of Roe, on the set of sites in the thermodynamic limit. For a state (phi ) on an (abstract) spin system with an infinite collection of sites X, we define a universal coarse structure (mathcal {E}_{phi }) on the set X with the property that a state has decay of correlations with respect to a coarse structure (mathcal {E}) on X if and only if (mathcal {E}_{phi }subseteq mathcal {E}). We show that under mild assumptions, the coarsely connected completion ((mathcal {E}_{phi })_{con}) is stable under quasi-local perturbations of the state (phi ). We also develop in parallel a dynamical coarse structure for arbitrary quantum channels, and prove a similar stability result. We show that several order parameters of a state only depend on the coarse structure of an underlying spatial metric, and we establish a basic compatibility between the dynamical coarse structure associated with a quantum circuit (alpha ) and the coarse structure of the state (psi circ alpha ) where (psi ) is any product state.</div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 3","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-025-01949-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144125854","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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

Charges in light cones and quenched infrared radiation 光锥中的电荷和熄灭的红外辐射

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2025-05-21 DOI: 10.1007/s11005-025-01942-z

Detlev Buchholz, Fabio Ciolli, Giuseppe Ruzzi, Ezio Vasselli

{"title":"Charges in light cones and quenched infrared radiation","authors":"Detlev Buchholz, Fabio Ciolli, Giuseppe Ruzzi, Ezio Vasselli","doi":"10.1007/s11005-025-01942-z","DOIUrl":"10.1007/s11005-025-01942-z","url":null,"abstract":"<div>The creation of electrically charged states and the resulting electromagnetic fields are considered in spacetime regions in which such experiments can actually be carried out, namely in future-directed light cones. Under the simplifying assumption of external charges, charged states are formed from neutral pairs of opposite charges, with one charge being shifted to light-like infinity. It thereby escapes observation. Despite the fact that this charge moves asymptotically at the speed of light, the resulting electromagnetic field has a well-defined energy operator that is bounded from below. Moreover, due to the spatiotemporal restrictions, the transverse electromagnetic field (the radiation) has no infrared singularities in the light cone. They are quenched and the observed radiation can be described by states in the Fock space of photons. The longitudinal field between the charges (giving rise to Gauss’s law) disappears for inertial observers in an instant. This is consistent with the fact that the underlying longitudinal photons do not manifest themselves as genuine particles. The results show that the restrictions of operations and observations to light cones, which are dictated by the arrow of time, amount to a Lorentz-invariant infrared cutoff.</div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 3","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-025-01942-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144108648","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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

The p-adic approximations of vertex functions via 3D mirror symmetry 三维镜像对称顶点函数的p进逼近

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2025-05-21 DOI: 10.1007/s11005-025-01944-x

Andrey Smirnov, Alexander Varchenko

引用次数: 0

A rigidity condition for compact gradient Einstein-type manifolds with boundary 具有边界的紧致梯度爱因斯坦型流形的刚性条件

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2025-05-20 DOI: 10.1007/s11005-025-01945-w

Xiaomin Chen

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Counting differentials with fixed residues 用固定残数计算微分

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2025-05-18 DOI: 10.1007/s11005-025-01940-1

Dawei Chen, Miguel Prado

引用次数: 0

A Jensen inequality for partial traces and applications to partially semiclassical limits 部分迹的Jensen不等式及其在部分半经典极限上的应用

IF 1.3 3区物理与天体物理

Letters in Mathematical Physics Pub Date : 2025-05-16 DOI: 10.1007/s11005-025-01938-9

Eric A. Carlen, Rupert L. Frank, Simon Larson

引用次数: 0