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Annales Henri Poincaré最新文献

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Symmetry Topological Field Theory and Non-Abelian Kramers–Wannier Dualities of Generalised Ising Models 广义Ising模型的对称拓扑场论和非阿贝尔Kramers-Wannier二象性
IF 1.3 3区 物理与天体物理
Annales Henri Poincaré Pub Date : 2025-07-22 DOI: 10.1007/s00023-025-01591-x
Clement Delcamp, Nafiz Ishtiaque
{"title":"Symmetry Topological Field Theory and Non-Abelian Kramers–Wannier Dualities of Generalised Ising Models","authors":"Clement Delcamp,&nbsp;Nafiz Ishtiaque","doi":"10.1007/s00023-025-01591-x","DOIUrl":"10.1007/s00023-025-01591-x","url":null,"abstract":"<div><p>For a class of two-dimensional Euclidean lattice field theories admitting topological lines encoded into a spherical fusion category, we explore aspects of their realisations as boundary theories of a three-dimensional topological quantum field theory. After providing a general framework for explicitly constructing such realisations, we specialise to non-abelian generalisations of the Ising model and consider two operations: gauging an arbitrary subsymmetry and performing Fourier transforms of the local weights encoding the dynamics of the theory. These are carried out both in a traditional way and in terms of the three-dimensional topological quantum field theory. Whenever the whole symmetry is gauged, combining both operations recovers the non-abelian Kramers–Wannier duals à la Freed and Teleman of the generalised Ising models. Moreover, we discuss the interplay between renormalisation group fixed points of gapped symmetric phases and these generalised Kramers–Wannier dualities.</p></div>","PeriodicalId":463,"journal":{"name":"Annales Henri Poincaré","volume":"27 6","pages":"2273 - 2340"},"PeriodicalIF":1.3,"publicationDate":"2025-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148208714","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Limit Shapes and Fluctuations for ((GL_{n},GL_{k})) Skew Howe Duality ((GL_{n},GL_{k}))斜豪对偶的极限形状和波动
IF 1.4 3区 物理与天体物理
Annales Henri Poincaré Pub Date : 2025-07-21 DOI: 10.1007/s00023-025-01606-7
Dan Betea, Anton Nazarov, Pavel Nikitin, Travis Scrimshaw
{"title":"Limit Shapes and Fluctuations for ((GL_{n},GL_{k})) Skew Howe Duality","authors":"Dan Betea,&nbsp;Anton Nazarov,&nbsp;Pavel Nikitin,&nbsp;Travis Scrimshaw","doi":"10.1007/s00023-025-01606-7","DOIUrl":"10.1007/s00023-025-01606-7","url":null,"abstract":"<div><p>We consider the probability measures on Young diagrams in the <span>(ntimes k)</span> rectangle obtained by specializations with parameters given by piecewise continuously differentiable functions of Schur polynomials in the dual Cauchy identity. We derive the uniform convergence to a limit shape of Young diagrams in the limit <span>(n,krightarrow infty )</span>. More specifically, we show the bulk is the discrete sine kernel with boundary fluctuations generically given by the Tracy–Widom distribution with the Airy kernel. We demonstrate our limit shapes can have sections with no or full density of particles, where the Pearcey kernel appears when such a section is infinitely small. When our limit shape touches the boundary corner of the rectangle, the fluctuations with a second-order correction are given by the discrete Hermite kernel, and we recover the discrete distribution of Gravner et al. (J Stat Phys 102(5–6):1085–1132, 2001) restricting to the leading order. The general nature of our parameters provides strong evidence of universality of the Airy, Pearcey and discrete Hermite kernels at the edge, in analogy with recent results in random matrix theory.</p></div>","PeriodicalId":463,"journal":{"name":"Annales Henri Poincaré","volume":"27 9","pages":"3169 - 3228"},"PeriodicalIF":1.4,"publicationDate":"2025-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148974817","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Linear Response and Resonances in Adiabatic Time-Dependent Density Functional Theory 绝热时变密度泛函理论中的线性响应和共振
IF 1.4 3区 物理与天体物理
Annales Henri Poincaré Pub Date : 2025-07-16 DOI: 10.1007/s00023-025-01602-x
Mi-Song Dupuy, Eloïse Letournel, Antoine Levitt
{"title":"Linear Response and Resonances in Adiabatic Time-Dependent Density Functional Theory","authors":"Mi-Song Dupuy,&nbsp;Eloïse Letournel,&nbsp;Antoine Levitt","doi":"10.1007/s00023-025-01602-x","DOIUrl":"10.1007/s00023-025-01602-x","url":null,"abstract":"<div><p>We consider the electrons of a molecule in the adiabatic time-dependent density functional theory approximation. We establish the well-posedness of the time evolution and its linear response close to a non-degenerate ground state, and prove the appearance of resonances at relevant frequencies. The main mathematical difficulty is due to the structure of the linearized equations, which are not complex-linear. We bypass this difficulty by reformulating the linearized problem as a real Hamiltonian system, whose stability is ensured by the second-order optimality conditions on the energy.</p></div>","PeriodicalId":463,"journal":{"name":"Annales Henri Poincaré","volume":"27 8","pages":"3057 - 3091"},"PeriodicalIF":1.4,"publicationDate":"2025-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148704222","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Weak Coupling Asymptotics for the Pauli Operator in Two Dimensions 二维泡利算子的弱耦合渐近性
IF 1.4 3区 物理与天体物理
Annales Henri Poincaré Pub Date : 2025-07-02 DOI: 10.1007/s00023-025-01601-y
Matthias Baur
{"title":"Weak Coupling Asymptotics for the Pauli Operator in Two Dimensions","authors":"Matthias Baur","doi":"10.1007/s00023-025-01601-y","DOIUrl":"10.1007/s00023-025-01601-y","url":null,"abstract":"<div><p>We compute asymptotic expansions for the negative eigenvalues of the Pauli operator in two dimensions perturbed by a weakly coupled potential with definite sign. Whereas previous results were limited to the case of radial magnetic fields and potentials, we are able to drop the assumption of radial symmetry entirely.</p></div>","PeriodicalId":463,"journal":{"name":"Annales Henri Poincaré","volume":"27 10","pages":"3553 - 3589"},"PeriodicalIF":1.4,"publicationDate":"2025-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00023-025-01601-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149163054","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
Scaling of the Lyapunov Exponent at a Balanced Hyperbolic Critical Point 平衡双曲临界点处Lyapunov指数的标度
IF 1.3 3区 物理与天体物理
Annales Henri Poincaré Pub Date : 2025-07-01 DOI: 10.1007/s00023-025-01594-8
Joris De Moor, Christian Sadel, Hermann Schulz-Baldes
{"title":"Scaling of the Lyapunov Exponent at a Balanced Hyperbolic Critical Point","authors":"Joris De Moor,&nbsp;Christian Sadel,&nbsp;Hermann Schulz-Baldes","doi":"10.1007/s00023-025-01594-8","DOIUrl":"10.1007/s00023-025-01594-8","url":null,"abstract":"<div><p>In both the random hopping model and at topological phase transitions in one-dimensional chiral systems, the Lyapunov exponent vanishes at zero energy, but is here shown to have an inverse logarithmic increase with a coefficient that is computed explicitly. This is the counterpart of the Dyson spike in the density of states. The argument also transposes to the free energy density of the random field Ising model, and more generally to many so-called balanced hyperbolic critical points. It is based on the fact that the Furstenberg measure in rescaled logarithmic Dyson–Schmidt variables can be well-approximated by an absolutely continuous measure with trapezoidal density.\u0000</p></div>","PeriodicalId":463,"journal":{"name":"Annales Henri Poincaré","volume":"27 6","pages":"2199 - 2242"},"PeriodicalIF":1.3,"publicationDate":"2025-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00023-025-01594-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148208766","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
Reflection Maps Associated with Involutions and Factorization Problems, and Their Poisson Geometry 与对合和分解问题相关的反射映射及其泊松几何
IF 1.4 3区 物理与天体物理
Annales Henri Poincaré Pub Date : 2025-07-01 DOI: 10.1007/s00023-025-01599-3
Luen-Chau Li, Vincent Caudrelier
{"title":"Reflection Maps Associated with Involutions and Factorization Problems, and Their Poisson Geometry","authors":"Luen-Chau Li,&nbsp;Vincent Caudrelier","doi":"10.1007/s00023-025-01599-3","DOIUrl":"10.1007/s00023-025-01599-3","url":null,"abstract":"<div><p>The study of the set-theoretic solutions of the reflection equation, also known as reflection maps, is closely related to that of the Yang–Baxter maps. In this work, we construct reflection maps on various geometrical objects, associated with factorization problems on rational loop groups and involutions. We show that such reflection maps are smoothly conjugate to the composite of permutation maps, with corresponding reduced Yang–Baxter maps. In the case when the reduced Yang–Baxter maps are independent of parameters, the latter are just braiding operators. We also study the symplectic and Poisson geometry of such reflection maps. In a special case, the factorization problems are associated with the collision of <i>N</i>-solitons of the <i>n</i>-Manakov system with a boundary, and in this context, the <i>N</i>-body polarization reflection map is a symplectomorphism.</p></div>","PeriodicalId":463,"journal":{"name":"Annales Henri Poincaré","volume":"27 7","pages":"2403 - 2445"},"PeriodicalIF":1.4,"publicationDate":"2025-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00023-025-01599-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148458662","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
Three-Receiver Quantum Broadcast Channels: Classical Communication with Quantum Non-unique Decoding 三接收机量子广播信道：量子非唯一解码的经典通信
IF 1.4 3区 物理与天体物理
Annales Henri Poincaré Pub Date : 2025-06-30 DOI: 10.1007/s00023-025-01597-5
Farzin Salek, Patrick Hayden, Masahito Hayashi
{"title":"Three-Receiver Quantum Broadcast Channels: Classical Communication with Quantum Non-unique Decoding","authors":"Farzin Salek,&nbsp;Patrick Hayden,&nbsp;Masahito Hayashi","doi":"10.1007/s00023-025-01597-5","DOIUrl":"10.1007/s00023-025-01597-5","url":null,"abstract":"<div><p>In network communication, it is common in broadcasting scenarios for there to exist a hierarchy among receivers based on information they decode due, for example, to different physical conditions or premium subscriptions. This hierarchy may result in varied information quality, such as higher-quality video for certain receivers. This is modeled mathematically as a degraded message set, indicating a hierarchy between messages to be decoded by different receivers, where the default quality corresponds to a common message intended for all receivers, a higher quality is represented by a message for a smaller subset of receivers, and so forth. We extend these considerations to quantum communication, exploring three-receiver quantum broadcast channels with two- and three-degraded message sets. Our technical tool involves employing quantum non-unique decoding, a technique we develop by utilizing the simultaneous pinching method. We construct one-shot codes for various scenarios and find achievable rate regions relying on various quantum Rényi mutual information error exponents. Our investigation includes a comprehensive study of pinching across tensor product spaces, presenting our findings as the asymptotic counterpart to our one-shot codes. By employing the non-unique decoding, we also establish a simpler proof to Marton’s inner bound for two-receiver quantum broadcast channels without the need for more involved techniques. Additionally, we derive no-go results and demonstrate their tightness in special cases.</p></div>","PeriodicalId":463,"journal":{"name":"Annales Henri Poincaré","volume":"27 8","pages":"2769 - 2841"},"PeriodicalIF":1.4,"publicationDate":"2025-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148704227","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Semiclassical Measures of Eigenfunctions of the Attractive Coulomb Operator 吸引库仑算子特征函数的半经典测度
IF 1.4 3区 物理与天体物理
Annales Henri Poincaré Pub Date : 2025-06-28 DOI: 10.1007/s00023-025-01596-6
Nicholas Lohr
{"title":"Semiclassical Measures of Eigenfunctions of the Attractive Coulomb Operator","authors":"Nicholas Lohr","doi":"10.1007/s00023-025-01596-6","DOIUrl":"10.1007/s00023-025-01596-6","url":null,"abstract":"<div><p>We characterize the set of semiclassical measures corresponding to sequences of eigenfunctions of the attractive Coulomb operator <span>(widehat{H}_{hbar }{:}{=}-frac{hbar ^2}{2}Delta _{mathbb {R}^3}-frac{1}{|x|})</span>. In particular, any Radon probability measure on the fixed negative energy hypersurface <span>(Sigma _E)</span> of the Kepler Hamiltonian <i>H</i> in classical phase space that is invariant under the regularized Kepler flow is the semiclassical measure of a sequence of eigenfunctions of <span>(widehat{H}_{hbar })</span> with eigenvalue <i>E</i> as <span>(hbar rightarrow 0)</span>. The main tool that we use is the celebrated Fock unitary conjugation map between eigenspaces of <span>(widehat{H}_{hbar })</span> and <span>(-Delta _{mathbb {S}^3})</span>. We first prove that for any Kepler orbit <span>(gamma )</span> on <span>(Sigma _E)</span>, there is a sequence of eigenfunctions that converge in the sense of semiclassical measures to the delta measure supported on <span>(gamma )</span> as <span>(hbar rightarrow 0)</span>, and we finish using a density argument in the weak-* topology.</p></div>","PeriodicalId":463,"journal":{"name":"Annales Henri Poincaré","volume":"27 7","pages":"2743 - 2768"},"PeriodicalIF":1.4,"publicationDate":"2025-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00023-025-01596-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148458854","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
Exponential Tail Estimates for Quantum Lattice Dynamics 量子点阵动力学的指数尾估计
IF 1.4 3区 物理与天体物理
Annales Henri Poincaré Pub Date : 2025-06-23 DOI: 10.1007/s00023-025-01598-4
Christopher Cedzich, Alain Joye, Albert H. Werner, Reinhard F. Werner
{"title":"Exponential Tail Estimates for Quantum Lattice Dynamics","authors":"Christopher Cedzich,&nbsp;Alain Joye,&nbsp;Albert H. Werner,&nbsp;Reinhard F. Werner","doi":"10.1007/s00023-025-01598-4","DOIUrl":"10.1007/s00023-025-01598-4","url":null,"abstract":"<div><p>We consider the quantum dynamics of a particle on a lattice for large times. Assuming translation invariance, and either discrete or continuous time parameter, the distribution of the ballistically scaled position <span>(Q(t)/t)</span> converges weakly to a distribution that is compactly supported in velocity space, essentially the distribution of group velocity in the initial state. We show that the total probability of velocities strictly outside the support of the asymptotic measure goes to zero exponentially with <span>(t)</span>, and we provide a simple method to estimate the exponential rate uniformly in the initial state. Near the boundary of the allowed region the rate function goes to zero like the power <span>(3/2)</span> of the distance to the boundary. The method is illustrated in several examples.</p></div>","PeriodicalId":463,"journal":{"name":"Annales Henri Poincaré","volume":"27 8","pages":"2843 - 2870"},"PeriodicalIF":1.4,"publicationDate":"2025-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00023-025-01598-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148704218","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
Holographic Mixing and Fock Space Dynamics of Causal Fermion Systems 因果费米子系统的全息混合和Fock空间动力学
IF 1.3 3区 物理与天体物理
Annales Henri Poincaré Pub Date : 2025-06-22 DOI: 10.1007/s00023-025-01593-9
Claudio Dappiaggi, Felix Finster, Niky Kamran, Moritz Reintjes
{"title":"Holographic Mixing and Fock Space Dynamics of Causal Fermion Systems","authors":"Claudio Dappiaggi,&nbsp;Felix Finster,&nbsp;Niky Kamran,&nbsp;Moritz Reintjes","doi":"10.1007/s00023-025-01593-9","DOIUrl":"10.1007/s00023-025-01593-9","url":null,"abstract":"<div><p>A limiting case is considered in which the causal action principle for causal fermion systems describing Minkowski space gives rise to the linear Fock space dynamics of quantum electrodynamics. The quantum nature of the bosonic field is a consequence of the stochastic description of a multitude of fluctuating fields coupled to non-commuting operators, taking into account dephasing effects. The scaling of all error terms is specified. Our analysis leads to the concept of holographic mixing, which is introduced and explained in detail.</p></div>","PeriodicalId":463,"journal":{"name":"Annales Henri Poincaré","volume":"27 5","pages":"1885 - 1969"},"PeriodicalIF":1.3,"publicationDate":"2025-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00023-025-01593-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147872276","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
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