Annales Henri Poincaré最新文献_第3页

Long-Time Quantum–Classical Correspondence for Open Systems in Trace Norm 开放系统在迹范数下的长时间量子经典对应

IF 1.4 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2025-08-21 DOI: 10.1007/s00023-025-01613-8

Zhenhao Li

{"title":"Long-Time Quantum–Classical Correspondence for Open Systems in Trace Norm","authors":"Zhenhao Li","doi":"10.1007/s00023-025-01613-8","DOIUrl":"10.1007/s00023-025-01613-8","url":null,"abstract":"<div><p>We consider a frictionless system coupled to an external Markovian environment. The quantum and classical evolution of such systems are described by the Lindblad and the Fokker–Planck equation, respectively. We show that when such a system is given by an at most quadratically growing Hamiltonian and at most linearly growing real jump functions, the quantum and classical evolutions remain close on time scales much longer than Ehrenfest time. In particular, we show that the evolution of a density matrix by the Lindblad equation is close in trace norm to the quantization of the corresponding evolution by the Fokker–Planck equation. Such agreement improves upon recent results (Galokowski and Zworski in Classical quantum correspondence in Lindblad evolution, 2024. arXiv:2403.09345; Hernández et al. in Decoherence ensures classicality beyond the Ehrenfest time as <span>(hbar rightarrow 0)</span>, 2023. arXiv:2306.13717, Hernández et al. in The limit of open quantum systems with general Lindbladians: vanishing noise ensures classicality beyond the ehrenfest time, 2023. arXiv:2307.05326), which proved long-time agreement in weaker norms.</p></div>","PeriodicalId":463,"journal":{"name":"Annales Henri Poincaré","volume":"27 8","pages":"3113 - 3143"},"PeriodicalIF":1.4,"publicationDate":"2025-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00023-025-01613-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148704225","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

Fermionic Quantum Walkers Coupled to a Bosonic Reservoir 耦合到玻色子库的费米子量子行子

IF 1.4 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2025-08-14 DOI: 10.1007/s00023-025-01605-8

Olivier Bourget, Alain Joye, Dominique Spehner

引用次数: 0

Manifolds with a Commutative and Associative Product Structure that Encodes Superintegrable Hamiltonian Systems 编码超可积哈密顿系统的交换结合积流形

IF 1.4 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2025-08-13 DOI: 10.1007/s00023-025-01608-5

Andreas Vollmer

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Hydrodynamic Limits and Non-equilibrium Fluctuations for the Symmetric Inclusion Process with Long Jumps 跳远对称包含过程的水动力极限和非平衡涨落

IF 1.4 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2025-08-12 DOI: 10.1007/s00023-025-01611-w

Mario Ayala, Johannes Zimmer

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The r-Matrix Structure of Hitchin Systems via Loop Group Uniformization 环群均匀化Hitchin系统的r-矩阵结构

IF 1.4 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2025-08-08 DOI: 10.1007/s00023-025-01603-w

Raschid Abedin

引用次数: 0

On the Preservation of Quasilocality by the Integration-Out Transformation 关于积分外变换对拟局部性的保持

IF 1.4 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2025-08-07 DOI: 10.1007/s00023-025-01610-x

T. Tlas

引用次数: 0

Toward Optimal Convergence Rates for the Quantum Central Limit Theorem 论量子中心极限定理的最优收敛速率

IF 1.4 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2025-07-31 DOI: 10.1007/s00023-025-01609-4

Salman Beigi, Hami Mehrabi

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Fundamental Limitations on the Recoverability of Quantum Processes 量子过程可恢复性的基本限制

IF 1.3 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2025-07-24 DOI: 10.1007/s00023-025-01590-y

Sohail, Vivek Pandey, Uttam Singh, Siddhartha Das

{"title":"Fundamental Limitations on the Recoverability of Quantum Processes","authors":"Sohail, Vivek Pandey, Uttam Singh, Siddhartha Das","doi":"10.1007/s00023-025-01590-y","DOIUrl":"10.1007/s00023-025-01590-y","url":null,"abstract":"<div><p>Quantum information processing and computing tasks can be understood as quantum networks, comprising quantum states and channels and possible physical transformations on them. It is hence pertinent to estimate the change in informational content of quantum processes due to physical transformations they undergo. The physical transformations of quantum states are described by quantum channels, while the transformations of quantum channels are described by quantum superchannels. In this work, we determine fundamental limitations on how well the physical transformation on quantum channels can be undone or reversed, which are of crucial interest to design and benchmark quantum information and computation devices. In particular, we refine (strengthen) the quantum data processing inequality for quantum channels under the action of quantum superchannels. We identify a class of quantum superchannels, which appears to be the superchannel analog of subunital quantum channels, under the action of which the entropy of an arbitrary quantum channel is nondecreasing. We also provide a refined inequality for the entropy change of quantum channels under the action of an arbitrary quantum superchannel.</p></div>","PeriodicalId":463,"journal":{"name":"Annales Henri Poincaré","volume":"27 3","pages":"933 - 994"},"PeriodicalIF":1.3,"publicationDate":"2025-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147441934","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

Linking Disks, Spinning Vortices and Exponential Networks of Augmentation Curves 连接盘、旋转旋涡和增强曲线的指数网络

IF 1.4 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2025-07-24 DOI: 10.1007/s00023-025-01604-9

Kunal Gupta, Pietro Longhi

引用次数: 0

Modular Features of Superstring Scattering Amplitudes: Generalised Eisenstein Series and Theta Lifts 超弦散射振幅的模特征：广义爱森斯坦级数和Theta提升

IF 1.4 3区物理与天体物理

Annales Henri Poincaré Pub Date : 2025-07-23 DOI: 10.1007/s00023-025-01607-6

Daniele Dorigoni, Michael B. Green, Congkao Wen

{"title":"Modular Features of Superstring Scattering Amplitudes: Generalised Eisenstein Series and Theta Lifts","authors":"Daniele Dorigoni, Michael B. Green, Congkao Wen","doi":"10.1007/s00023-025-01607-6","DOIUrl":"10.1007/s00023-025-01607-6","url":null,"abstract":"<div><p>In previous papers, it has been shown that the coefficients of terms in the large-<i>N</i> expansion of a certain integrated four-point correlator of superconformal primary operators in <span>(mathcal {N}=4)</span> supersymmetric Yang–Mills theory are rational sums of real-analytic Eisenstein series and “generalised Eisenstein series”. The latter are novel modular functions first encountered in the context of graviton amplitudes in type IIB superstring theory. Similar modular functions, known as two-loop modular graph functions, are also encountered in the low-energy expansion of the integrand of genus-one closed superstring amplitudes. In this paper, we further develop the mathematical structure of such generalised Eisenstein series emphasising, in particular, the occurrence of <i>L</i>-values of holomorphic cusp forms in their Fourier mode decomposition. We show that both the coefficients in the large-<i>N</i> expansion of this integrated correlator and two-loop modular graph functions admit a unifying description in terms of four-dimensional lattice sums generated by theta lifts of certain local Maass functions, which generalise the structure of real-analytic Eisenstein series. Through the theta lift representation, we demonstrate that elements belonging to these two families of non-holomorphic modular functions can be expressed as rational linear combinations of generalised Eisenstein series for which all the <i>L</i>-values of holomorphic cusp forms precisely cancel.</p></div>","PeriodicalId":463,"journal":{"name":"Annales Henri Poincaré","volume":"27 7","pages":"2525 - 2587"},"PeriodicalIF":1.4,"publicationDate":"2025-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00023-025-01607-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148459136","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