Annales Henri Poincaré最新文献

Lieb–Robinson Bounds in the Continuum Via Localized Frames

IF 1.4 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2024-11-16 DOI: 10.1007/s00023-024-01511-5

Sven Bachmann, Giuseppe De Nittis

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Correction to: Free Energy Fluctuations of the Bipartite Spherical SK Model at Critical Temperature

IF 1.4 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2024-10-21 DOI: 10.1007/s00023-024-01498-z

Elizabeth W. Collins-Woodfin, Han Gia Le

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Interpolating Between Rényi Entanglement Entropies for Arbitrary Bipartitions via Operator Geometric Means 通过算子几何手段插值任意双分区的雷尼纠缠熵

IF 1.55 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2024-09-14 DOI: 10.1007/s00023-024-01486-3

Dávid Bugár, Péter Vrana

{"title":"Interpolating Between Rényi Entanglement Entropies for Arbitrary Bipartitions via Operator Geometric Means","authors":"Dávid Bugár, Péter Vrana","doi":"10.1007/s00023-024-01486-3","DOIUrl":"https://doi.org/10.1007/s00023-024-01486-3","url":null,"abstract":"The asymptotic restriction problem for tensors can be reduced to finding all parameters that are normalized, monotone under restrictions, additive under direct sums and multiplicative under tensor products, the simplest of which are the flattening ranks. Over the complex numbers, a refinement of this problem, originating in the theory of quantum entanglement, is to find the optimal rate of entanglement transformations as a function of the error exponent. This trade-off can also be characterized in terms of the set of normalized, additive, multiplicative functionals that are monotone in a suitable sense, which includes the restriction-monotones as well. For example, the flattening ranks generalize to the (exponentiated) Rényi entanglement entropies of order (alpha in [0,1]). More complicated parameters of this type are known, which interpolate between the flattening ranks or Rényi entropies for special bipartitions, with one of the parts being a single tensor factor. We introduce a new construction of subadditive and submultiplicative monotones in terms of a regularized Rényi divergence between many copies of the pure state represented by the tensor and a suitable sequence of positive operators. We give explicit families of operators that correspond to the flattening-based functionals, and show that they can be combined in a nontrivial way using weighted operator geometric means. This leads to a new characterization of the previously known additive and multiplicative monotones, and gives new submultiplicative and subadditive monotones that interpolate between the Rényi entropies for all bipartitions. We show that for each such monotone there exist pointwise smaller multiplicative and additive ones as well. In addition, we find lower bounds on the new functionals that are superadditive and supermultiplicative.","PeriodicalId":463,"journal":{"name":"Annales Henri Poincaré","volume":"21 1","pages":""},"PeriodicalIF":1.55,"publicationDate":"2024-09-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142269833","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

Schur Function Expansion in Non-Hermitian Ensembles and Averages of Characteristic Polynomials 非ermitian集合中的舒尔函数展开和特征多项式的平均值

IF 1.55 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2024-09-13 DOI: 10.1007/s00023-024-01483-6

Alexander Serebryakov, Nick Simm

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A Meta Logarithmic-Sobolev Inequality for Phase-Covariant Gaussian Channels 相变高斯信道的元对数-索博列夫不等式

IF 1.55 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2024-09-09 DOI: 10.1007/s00023-024-01487-2

Salman Beigi, Saleh Rahimi-Keshari

{"title":"A Meta Logarithmic-Sobolev Inequality for Phase-Covariant Gaussian Channels","authors":"Salman Beigi, Saleh Rahimi-Keshari","doi":"10.1007/s00023-024-01487-2","DOIUrl":"https://doi.org/10.1007/s00023-024-01487-2","url":null,"abstract":"We introduce a meta logarithmic-Sobolev (log-Sobolev) inequality for the Lindbladian of all single-mode phase-covariant Gaussian channels of bosonic quantum systems and prove that this inequality is saturated by thermal states. We show that our inequality provides a general framework to derive information theoretic results regarding phase-covariant Gaussian channels. Specifically, by using the optimality of thermal states, we explicitly compute the optimal constant (alpha _p), for (1le ple 2), of the p-log-Sobolev inequality associated with the quantum Ornstein–Uhlenbeck semigroup. Prior to our work, the optimal constant was only determined for (p=1). Our meta log-Sobolev inequality also enables us to provide an alternative proof for the constrained minimum output entropy conjecture in the single-mode case. Specifically, we show that for any single-mode phase-covariant Gaussian channel (Phi ), the minimum of the von Neumann entropy (Sbig (Phi (rho )big )) over all single-mode states (rho ) with a given lower bound on (S(rho )) is achieved at a thermal state.\u0000","PeriodicalId":463,"journal":{"name":"Annales Henri Poincaré","volume":"97 1","pages":""},"PeriodicalIF":1.55,"publicationDate":"2024-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142216787","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

Kac–Ward Solution of the 2D Classical and 1D Quantum Ising Models 二维经典和一维量子伊辛模型的 Kac-Ward 解法

IF 1.55 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2024-09-09 DOI: 10.1007/s00023-024-01479-2

Georgios Athanasopoulos, Daniel Ueltschi

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Tunneling Estimates for Two-Dimensional Perturbed Magnetic Dirac Systems 二维扰动磁性狄拉克系统的隧道估计值

IF 1.55 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2024-09-05 DOI: 10.1007/s00023-024-01480-9

Esteban Cárdenas, Benjamín Pavez, Edgardo Stockmeyer

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Aharonov–Casher Theorems for Dirac Operators on Manifolds with Boundary and APS Boundary Condition 有边界和 APS 边界条件的流形上狄拉克算子的阿哈诺夫-卡舍尔定理

IF 1.55 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2024-09-05 DOI: 10.1007/s00023-024-01482-7

M. Fialová

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Undressing the Electron 脱掉电子衣服

IF 1.55 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2024-09-04 DOI: 10.1007/s00023-024-01476-5

Andrzej Herdegen

{"title":"Undressing the Electron","authors":"Andrzej Herdegen","doi":"10.1007/s00023-024-01476-5","DOIUrl":"https://doi.org/10.1007/s00023-024-01476-5","url":null,"abstract":"The extended algebra of the free electromagnetic fields, including infrared-singular fields, and the almost radial gauge, both introduced earlier, are postulated for the construction of the quantum electrodynamics in a Hilbert space (no indefinite metric). Both the Dirac and electromagnetic fields are constructed up to the first order (based on the incoming fields) as operators in the Hilbert space and shown to have physically well-interpretable asymptotic behavior in far past and spacelike separations. The Dirac field tends in far past to the free incoming field, carrying its own Coulomb field, but with no ‘soft photon dressing.’ The spacelike asymptotic limit of the electromagnetic field yields a conserved operator field, which is a sum of contributions of the incoming Coulomb field, and of the low-energy limit of the incoming free electromagnetic field. This should agree with the operator field similarly constructed with the use of outgoing fields, which then relates these past and future characteristics. Higher orders are expected not to change this picture, but their construction needs a treatment of the UV question, which has not been undertaken and remains a problem for further investigation.","PeriodicalId":463,"journal":{"name":"Annales Henri Poincaré","volume":"17 1","pages":""},"PeriodicalIF":1.55,"publicationDate":"2024-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142216788","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

Classical Dynamical r-matrices for the Chern–Simons Formulation of Generalized 3d Gravity 广义三维引力的切尔-西蒙斯公式的经典动力学 r 矩阵

IF 1.55 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2024-09-03 DOI: 10.1007/s00023-024-01477-4

Juan Carlos Morales Parra, Bernd J. Schroers

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