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Annales Henri Poincaré最新文献

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Black Hole and Equipotential Photon Surface Uniqueness in Four-Dimensional Asymptotically Flat Electrostatic Electro-Vacuum Spacetimes 四维渐近平坦静电电真空时空中的黑洞和等势光子表面唯一性
IF 1.3 3区 物理与天体物理
Annales Henri Poincaré Pub Date : 2024-12-02 DOI: 10.1007/s00023-024-01514-2
Stefano Borghini, Carla Cederbaum, Albachiara Cogo
{"title":"Black Hole and Equipotential Photon Surface Uniqueness in Four-Dimensional Asymptotically Flat Electrostatic Electro-Vacuum Spacetimes","authors":"Stefano Borghini,&nbsp;Carla Cederbaum,&nbsp;Albachiara Cogo","doi":"10.1007/s00023-024-01514-2","DOIUrl":"10.1007/s00023-024-01514-2","url":null,"abstract":"<div><p>We study four-dimensional asymptotically flat electrostatic electro-vacuum spacetimes with a connected black hole, photon sphere, or equipotential photon surface inner boundary. Our analysis, inspired by the potential theory approach by Agostiniani–Mazzieri, allows to give self-contained proofs of known uniqueness theorems of the sub-extremal, extremal, and super-extremal Reissner–Nordström spacetimes. We also obtain new results for connected photon spheres and equipotential photon surfaces in the extremal case. Finally, we provide, up to a restriction on the range of their radii, the uniqueness result for connected (both non-degenerate and degenerate) equipotential photon surfaces in the super-extremal case, not yet treated in the literature.</p></div>","PeriodicalId":463,"journal":{"name":"Annales Henri Poincaré","volume":"26 11","pages":"3963 - 4019"},"PeriodicalIF":1.3,"publicationDate":"2024-12-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00023-024-01514-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145248328","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
Hawking-Type Singularity Theorems for Worldvolume Energy Inequalities 世界体积能量不等式的霍金型奇异定理
IF 1.3 3区 物理与天体物理
Annales Henri Poincaré Pub Date : 2024-11-25 DOI: 10.1007/s00023-024-01502-6
Melanie Graf, Eleni-Alexandra Kontou, Argam Ohanyan, Benedict Schinnerl
{"title":"Hawking-Type Singularity Theorems for Worldvolume Energy Inequalities","authors":"Melanie Graf,&nbsp;Eleni-Alexandra Kontou,&nbsp;Argam Ohanyan,&nbsp;Benedict Schinnerl","doi":"10.1007/s00023-024-01502-6","DOIUrl":"10.1007/s00023-024-01502-6","url":null,"abstract":"<div><p>The classical singularity theorems of R. Penrose and S. Hawking from the 1960s show that, given a pointwise energy condition (and some causality as well as initial assumptions), spacetimes cannot be geodesically complete. Despite their great success, the theorems leave room for physically relevant improvements, especially regarding the classical energy conditions as essentially any quantum field theory necessarily violates them. While singularity theorems with weakened energy conditions exist for worldline integral bounds, so-called worldvolume bounds are in some cases more applicable than the worldline ones, such as the case of some massive free fields. In this paper, we study integral Ricci curvature bounds based on worldvolume quantum strong energy inequalities. Under the additional assumption of a—potentially very negative—global timelike Ricci curvature bound, a Hawking-type singularity theorem is proved. Finally, we apply the theorem to a cosmological scenario proving past geodesic incompleteness in cases where the worldline theorem was inconclusive. \u0000</p></div>","PeriodicalId":463,"journal":{"name":"Annales Henri Poincaré","volume":"26 11","pages":"3871 - 3906"},"PeriodicalIF":1.3,"publicationDate":"2024-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00023-024-01502-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145248330","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
Upper Bound for the Grand Canonical Free Energy of the Bose Gas in the Gross–Pitaevskii Limit for General Interaction Potentials 一般相互作用势的Gross-Pitaevskii极限下玻色气体的大正则自由能的上界
IF 1.3 3区 物理与天体物理
Annales Henri Poincaré Pub Date : 2024-11-23 DOI: 10.1007/s00023-024-01505-3
Marco Caporaletti, Andreas Deuchert
{"title":"Upper Bound for the Grand Canonical Free Energy of the Bose Gas in the Gross–Pitaevskii Limit for General Interaction Potentials","authors":"Marco Caporaletti,&nbsp;Andreas Deuchert","doi":"10.1007/s00023-024-01505-3","DOIUrl":"10.1007/s00023-024-01505-3","url":null,"abstract":"<div><p>We consider a homogeneous Bose gas in the Gross–Pitaevskii limit at temperatures that are comparable to the critical temperature for Bose–Einstein condensation. Recently, an upper bound for the grand canonical free energy was proved in Boccato et al. (SIAM J Math Anal 56(2):2611–2660, 2024) capturing two novel contributions. First, the free energy of the interacting condensate is given in terms of an effective theory describing the probability distribution of the number of condensed particles. Second, the free energy of the thermally excited particles equals that of a temperature-dependent Bogoliubov Hamiltonian. We extend this result to a more general class of interaction potentials, including interactions with a hard core. Our proof follows a different approach than the one in Boccato et al. (SIAM J Math Anal 56(2):2611–2660, 2024): We model microscopic correlations between the particles by a Jastrow factor and exploit a cancellation in the computation of the energy that emerges due to the different length scales in the system.</p></div>","PeriodicalId":463,"journal":{"name":"Annales Henri Poincaré","volume":"26 10","pages":"3767 - 3827"},"PeriodicalIF":1.3,"publicationDate":"2024-11-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00023-024-01505-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145204691","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
Hidden Symmetries of Generalised Gravitational Instantons 广义引力瞬子的隐藏对称性
IF 1.3 3区 物理与天体物理
Annales Henri Poincaré Pub Date : 2024-11-22 DOI: 10.1007/s00023-024-01515-1
Bernardo Araneda
{"title":"Hidden Symmetries of Generalised Gravitational Instantons","authors":"Bernardo Araneda","doi":"10.1007/s00023-024-01515-1","DOIUrl":"10.1007/s00023-024-01515-1","url":null,"abstract":"<div><p>For conformally Kähler Riemannian four-manifolds with a Killing field, we present a framework to solve the field equations for generalised gravitational instantons corresponding to conformal self-duality and to cosmological Einstein–Maxwell. After deriving generic identities for the curvature of such manifolds without assuming field equations, we obtain <span>(SU(infty ))</span> Toda formulations for the Page-Pope, Plebański–Demiański, and Chen–Teo classes, we show how to solve the (modified) Toda equation, and we use this to find conformally self-dual and Einstein–Maxwell generalisations of these geometries.</p></div>","PeriodicalId":463,"journal":{"name":"Annales Henri Poincaré","volume":"26 11","pages":"4021 - 4049"},"PeriodicalIF":1.3,"publicationDate":"2024-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00023-024-01515-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145248324","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
Scattering for the Equivariant U(1) Problem 等变U(1)问题的散射
IF 1.3 3区 物理与天体物理
Annales Henri Poincaré Pub Date : 2024-11-21 DOI: 10.1007/s00023-024-01503-5
Nishanth Gudapati
{"title":"Scattering for the Equivariant U(1) Problem","authors":"Nishanth Gudapati","doi":"10.1007/s00023-024-01503-5","DOIUrl":"10.1007/s00023-024-01503-5","url":null,"abstract":"<div><p>Extending our previous works on the Cauchy problem for the <span>(2+1)</span> equivariant Einstein-wave map system, we prove that the linear part dominates the nonlinear part of the wave maps equation coupled to the full set of the Einstein equations, for small data. A key ingredient in the proof is a nonlinear Morawetz estimate for the fully coupled equivariant Einstein-wave maps. The <span>(2+1)</span>-dimensional Einstein-wave map system occurs naturally in the <span>(3+1)</span> vacuum Einstein equations of general relativity.</p></div>","PeriodicalId":463,"journal":{"name":"Annales Henri Poincaré","volume":"26 9","pages":"3441 - 3475"},"PeriodicalIF":1.3,"publicationDate":"2024-11-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144990640","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
Convergence of Bipartite Open Quantum Systems Stabilized by Reservoir Engineering 储层工程稳定的二部开放量子系统的收敛性
IF 1.4 3区 物理与天体物理
Annales Henri Poincaré Pub Date : 2024-11-20 DOI: 10.1007/s00023-024-01481-8
Rémi Robin, Pierre Rouchon, Lev-Arcady Sellem
{"title":"Convergence of Bipartite Open Quantum Systems Stabilized by Reservoir Engineering","authors":"Rémi Robin,&nbsp;Pierre Rouchon,&nbsp;Lev-Arcady Sellem","doi":"10.1007/s00023-024-01481-8","DOIUrl":"10.1007/s00023-024-01481-8","url":null,"abstract":"<div><p>We study a generic family of Lindblad master equations modeling bipartite open quantum systems, where one tries to stabilize a quantum system by carefully designing its interaction with another, dissipative, quantum system—a strategy known as <i>quantum reservoir engineering</i>. We provide sufficient conditions for convergence of the considered Lindblad equations; our setting accommodates the case where steady-states are not unique but rather supported on a given subspace of the underlying Hilbert space. We apply our result to a Lindblad master equation modeling engineered multi-photon emission and absorption processes, a setting that received considerable attention in recent years due to its potential applications for the stabilization of so-called <i>cat qubits</i>.</p></div>","PeriodicalId":463,"journal":{"name":"Annales Henri Poincaré","volume":"26 5","pages":"1769 - 1819"},"PeriodicalIF":1.4,"publicationDate":"2024-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143925688","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
Averaging Theorems for Slow–Fast Systems in (mathbb {Z})-extensions (Discrete Time) (mathbb {Z}) -扩展（离散时间）中慢速系统的平均定理
IF 1.3 3区 物理与天体物理
Annales Henri Poincaré Pub Date : 2024-11-16 DOI: 10.1007/s00023-024-01513-3
Maxence Phalempin
{"title":"Averaging Theorems for Slow–Fast Systems in (mathbb {Z})-extensions (Discrete Time)","authors":"Maxence Phalempin","doi":"10.1007/s00023-024-01513-3","DOIUrl":"10.1007/s00023-024-01513-3","url":null,"abstract":"<div><p>We study the averaging method for flows perturbed by a dynamical system preserving an infinite measure. Motivated by the case of perturbation by the collision dynamic on the finite horizon <span>(mathbb Z)</span>-periodic Lorentz gas and in view of future development, we establish our results in a general context of perturbation by <span>(mathbb Z)</span>-extension over chaotic probability preserving dynamical systems. As a by-product, we prove limit theorems for non-stationary Birkhoff sums for such infinite measure preserving dynamical systems.\u0000</p></div>","PeriodicalId":463,"journal":{"name":"Annales Henri Poincaré","volume":"26 9","pages":"3149 - 3188"},"PeriodicalIF":1.3,"publicationDate":"2024-11-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144990636","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
Lieb–Robinson Bounds in the Continuum Via Localized Frames 通过定域帧的连续体中的Lieb-Robinson边界
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
{"title":"Lieb–Robinson Bounds in the Continuum Via Localized Frames","authors":"Sven Bachmann,&nbsp;Giuseppe De Nittis","doi":"10.1007/s00023-024-01511-5","DOIUrl":"10.1007/s00023-024-01511-5","url":null,"abstract":"<div><p>We study the dynamics of interacting fermions in the continuum. Our approach uses the concept of lattice-localized frames, which we introduce here. We first prove a Lieb-Robinson bound that is valid for a general class of local interactions, which implies the existence of the dynamics at the level of the CAR algebra. We then turn to the physical situation relevant to the (fractional) quantum Hall effect, namely the quasi-free second quantized Landau Hamiltonian to which electron–electron interactions can be added.</p></div>","PeriodicalId":463,"journal":{"name":"Annales Henri Poincaré","volume":"26 1","pages":"1 - 40"},"PeriodicalIF":1.4,"publicationDate":"2024-11-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143184743","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
Hofstadter Butterflies and Metal/Insulator Transitions for Moiré Heterostructures 微波异质结构的霍夫施塔特蝴蝶和金属/绝缘体跃迁
IF 1.3 3区 物理与天体物理
Annales Henri Poincaré Pub Date : 2024-11-10 DOI: 10.1007/s00023-024-01509-z
Simon Becker, Lingrui Ge, Jens Wittsten
{"title":"Hofstadter Butterflies and Metal/Insulator Transitions for Moiré Heterostructures","authors":"Simon Becker,&nbsp;Lingrui Ge,&nbsp;Jens Wittsten","doi":"10.1007/s00023-024-01509-z","DOIUrl":"10.1007/s00023-024-01509-z","url":null,"abstract":"<div><p>We consider a tight-binding model recently introduced by Timmel and Mele (Phys Rev Lett 125:166803, 2020) for strained moiré heterostructures. We consider two honeycomb lattices to which layer antisymmetric shear strain is applied to periodically modulate the tunneling between the lattices in one distinguished direction. This effectively reduces the model to one spatial dimension and makes it amenable to the theory of matrix-valued quasi-periodic operators. We then study the charge transport and spectral properties of this system, explaining the appearance of a Hofstadter-type butterfly and the occurrence of metal/insulator transitions that have recently been experimentally verified for non-interacting moiré systems (Wang et al. in Nature 577:42–46, 2020). For sufficiently incommensurable moiré lengths, described by a diophantine condition, as well as strong coupling between the lattices, which can be tuned by applying physical pressure, this leads to the occurrence of localization phenomena.</p></div>","PeriodicalId":463,"journal":{"name":"Annales Henri Poincaré","volume":"26 9","pages":"3103 - 3147"},"PeriodicalIF":1.3,"publicationDate":"2024-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00023-024-01509-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144990642","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
Functional Description of a Class of Quasi-Invariant Determinantal Processes 一类拟不变行列式过程的泛函描述
IF 1.3 3区 物理与天体物理
Annales Henri Poincaré Pub Date : 2024-11-07 DOI: 10.1007/s00023-024-01510-6
Roman Romanov
{"title":"Functional Description of a Class of Quasi-Invariant Determinantal Processes","authors":"Roman Romanov","doi":"10.1007/s00023-024-01510-6","DOIUrl":"10.1007/s00023-024-01510-6","url":null,"abstract":"<div><p>We give a functional characterization of a class of quasi-invariant determinantal processes corresponding to projection kernels in terms of de Branges spaces of entire functions.</p></div>","PeriodicalId":463,"journal":{"name":"Annales Henri Poincaré","volume":"26 6","pages":"1975 - 1990"},"PeriodicalIF":1.3,"publicationDate":"2024-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145163249","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
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