Communications in Mathematical Physics最新文献_第6页

Isometries of Spacetimes Without Observer Horizons 没有观察者视界的时空等距。

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-03-24 DOI: 10.1007/s00220-026-05569-6

Leonardo García-Heveling, Abdelghani Zeghib

引用次数: 0

On the Trotter Error in Many-body Quantum Dynamics with Coulomb Potentials 含库仑势的多体量子动力学中的踏步误差

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-03-24 DOI: 10.1007/s00220-026-05593-6

Di Fang, Xiaoxu Wu, Avy Soffer

{"title":"On the Trotter Error in Many-body Quantum Dynamics with Coulomb Potentials","authors":"Di Fang, Xiaoxu Wu, Avy Soffer","doi":"10.1007/s00220-026-05593-6","DOIUrl":"10.1007/s00220-026-05593-6","url":null,"abstract":"<div><p>Efficient simulation of many-body quantum systems is central to advances in physics, chemistry, and quantum computing, with a key question being whether the simulation cost scales polynomially with the system size. In this work, we analyze many-body quantum systems with Coulomb interactions, which are fundamental to electronic and molecular systems. We prove that Trotterization for such unbounded Hamiltonians achieves a 1/4-order convergence rate, with explicit polynomial dependence on the number of particles. The result holds for all initial wavefunctions in the domain of the Hamiltonian, and the 1/4-order convergence rate is optimal, as previous work has numerically demonstrated that it can be saturated by a specific initial ground state. The main challenges arise from the many-body structure and the singular nature of the Coulomb potential. Our proof strategy differs from prior state-of-the-art Trotter analyses, addressing both difficulties in a unified framework. Our analysis treats the Coulomb potential as an unbounded operator without modification or regularization, and does not rely on spatial discretization, making it compatible with both first- and second-quantized circuit constructions.</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"407 4","pages":""},"PeriodicalIF":2.6,"publicationDate":"2026-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147561162","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

Phase Transition for Invariant Measures of the Focusing Schrödinger Equation 聚焦不变测度的相变Schrödinger方程

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-03-24 DOI: 10.1007/s00220-026-05586-5

Leonardo Tolomeo, Hendrik Weber

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Convergence to Superposition of Boundary Layer, Rarefaction and Shock for the Inflow Problem of the 1D Navier–Stokes Equations 一维Navier-Stokes方程入流问题的边界层叠加、稀疏和激波收敛

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-03-24 DOI: 10.1007/s00220-026-05572-x

Sungho Han, Moon-Jin Kang, Jeongho Kim, Nayeon Kim, HyeonSeop Oh

{"title":"Convergence to Superposition of Boundary Layer, Rarefaction and Shock for the Inflow Problem of the 1D Navier–Stokes Equations","authors":"Sungho Han, Moon-Jin Kang, Jeongho Kim, Nayeon Kim, HyeonSeop Oh","doi":"10.1007/s00220-026-05572-x","DOIUrl":"10.1007/s00220-026-05572-x","url":null,"abstract":"<div><p>We establish the asymptotic stability of solutions to the inflow problem for the one-dimensional barotropic Navier–Stokes equations in half space. When the boundary value is located at the subsonic regime, all the possible thirteen asymptotic patterns are classified in Matsumura (Methods Appl Anal 8(4):645–666, 2001). We consider the most complicated pattern, the superposition of the boundary layer solution, the 1-rarefaction wave, and the viscous 2-shock waves. In this superposition, the boundary layer is degenerate and large. We prove that, if the strengths of the rarefaction wave and shock wave are small, and if the initial data is a small perturbation of the superposition, then the solution asymptotically converges to the superposition up to a dynamical shift for the shock. As a corollary, our result implies the asymptotic stability for the simpler case where the superposition consists of the degenerate boundary layer solution and the viscous 2-shock. Therefore, we complete the study of the asymptotic stability of the inflow problem for the 1D barotropic Navier–Stokes equations for subsonic boundary values.</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"407 4","pages":""},"PeriodicalIF":2.6,"publicationDate":"2026-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00220-026-05572-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147561164","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

Infinite-Level Fock Spaces, Crystal Bases, and Tensor Product of Extremal Weight Modules of Type (A_{+infty }) 类极值权模的无穷级Fock空间、晶体基与张量积 (A_{+infty })

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-03-24 DOI: 10.1007/s00220-026-05556-x

Jae-Hoon Kwon, Soo-Hong Lee

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Categorifying Clifford QCA Clifford QCA分类

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-03-23 DOI: 10.1007/s00220-026-05596-3

Bowen Yang

{"title":"Categorifying Clifford QCA","authors":"Bowen Yang","doi":"10.1007/s00220-026-05596-3","DOIUrl":"10.1007/s00220-026-05596-3","url":null,"abstract":"<div><p>We provide a complete classification of Clifford quantum cellular automata (QCAs) on arbitrary metric spaces and any qudits (of prime or composite dimensions) in terms of algebraic <span>( L )</span>-theory. Building on the delooping formalism of Pedersen and Weibel, we reinterpret Clifford QCAs as symmetric formations in a filtered additive category constructed from the geometry of the underlying space. This perspective allows us to identify the group of stabilized Clifford QCAs, modulo circuits and separated automorphisms, with the Witt group of the corresponding Pedersen–Weibel category. Notably, because the Pedersen–Weibel category depends only on the large-scale (coarse) structure of the metric space, so too does the classification of Clifford QCAs. For Euclidean lattices, the classification reproduces and expands upon known results, while for more general spaces—including open cones over finite simplicial complexes—we relate nontrivial QCAs to generalized homology theories with coefficients in the <span>( L )</span>-theory spectrum. Our results do not depend on translation symmetry. However, we do outline extensions to QCAs with symmetry and discuss how these fit naturally into the <span>( L )</span>-theoretic framework.</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"407 4","pages":""},"PeriodicalIF":2.6,"publicationDate":"2026-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147560840","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

Classification of Finite Depth Objects in Bicommutant Categories via Anchored Planar Algebras 基于锚定平面代数的双突变类中有限深度对象的分类

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-03-09 DOI: 10.1007/s00220-025-05548-3

André Henriques, David Penneys, James Tener

{"title":"Classification of Finite Depth Objects in Bicommutant Categories via Anchored Planar Algebras","authors":"André Henriques, David Penneys, James Tener","doi":"10.1007/s00220-025-05548-3","DOIUrl":"10.1007/s00220-025-05548-3","url":null,"abstract":"<div><p>In our article [arxiv:1511.05226], we studied the commutant <span>(mathcal {C}'subset operatorname {Bim}(R))</span> of a unitary fusion category <span>(mathcal {C})</span>, where <i>R</i> is a hyperfinite factor of type <span>(mathrm II_1)</span>, <span>(mathrm II_infty )</span>, or <span>(mathrm III_1)</span>, and showed that it is a bicommutant category. In other recent work [arxiv:1607.06041, arxiv:2301.11114] we introduced the notion of a (unitary) anchored planar algebra in a (unitary) braided pivotal category <span>(mathcal {D})</span>, and showed that they classify (unitary) module tensor categories for <span>(mathcal {D})</span> equipped with a distinguished object. Here, we connect these two notions and show that finite depth objects of <span>(mathcal {C}')</span> are classified by connected finite depth unitary anchored planar algebras in <span>(mathcal {Z}(mathcal {C}))</span>. This extends the classification of finite depth objects of <span>(operatorname {Bim}(R))</span> by connected finite depth unitary planar algebras.</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"407 4","pages":""},"PeriodicalIF":2.6,"publicationDate":"2026-03-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00220-025-05548-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147375236","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

Nonlinear Evolution Toward the Linear Diffusive Profile in the Presence of Couette Flow 库埃特流存在下线性扩散剖面的非线性演化

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-03-09 DOI: 10.1007/s00220-026-05574-9

Ning Liu, Ping Zhang, Weiren Zhao

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Localization and Unique Continuation for Non-stationary Schrödinger Operators on the 2D Lattice 二维格上非平稳Schrödinger算子的局部化与唯一延拓

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-03-09 DOI: 10.1007/s00220-026-05559-8

Omar Hurtado

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Additivity and Chain Rules for Quantum Entropies via Multi-index Schatten Norms 基于多指标Schatten范数的量子熵的可加性和链式规则

IF 2.6 1区物理与天体物理

Communications in Mathematical Physics Pub Date : 2026-03-09 DOI: 10.1007/s00220-026-05567-8

Omar Fawzi, Jan Kochanowski, Cambyse Rouzé, Thomas Van Himbeeck

{"title":"Additivity and Chain Rules for Quantum Entropies via Multi-index Schatten Norms","authors":"Omar Fawzi, Jan Kochanowski, Cambyse Rouzé, Thomas Van Himbeeck","doi":"10.1007/s00220-026-05567-8","DOIUrl":"10.1007/s00220-026-05567-8","url":null,"abstract":"<div><p>The primary entropic measures for quantum states are additive under the tensor product. In the analysis of quantum information processing tasks, the minimum entropy of a set of states, e.g., the minimum output entropy of a channel, often plays a crucial role. A fundamental question in quantum information and cryptography is whether the minimum output entropy remains additive under the tensor product of channels. Here, we establish a general additivity statement for the optimized sandwiched Rényi entropy of quantum channels. For that, we generalize the results of Devetak et al. (Commun Math Phys 266(1):37–63, 2006) to multi-index Schatten norms. As an application, we strengthen the additivity statement of Van Himbeeck and Brown (A tight and general finite-size security proof for quantum key distribution, 2025) thus allowing the analysis of time-adaptive quantum cryptographic protocols. In addition, we establish chain rules for Rényi conditional entropies that are similar to the ones used for the generalized entropy accumulation theorem of Metger et al. (Commun Math Phys 405(11):261, 2024).</p></div>","PeriodicalId":522,"journal":{"name":"Communications in Mathematical Physics","volume":"407 4","pages":""},"PeriodicalIF":2.6,"publicationDate":"2026-03-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00220-026-05567-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147375233","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