发布求助
文献互助 智能选刊 最新文献

Journal of Physics A: Mathematical and Theoretical最新文献

筛选
英文 中文
Critical behavior of dirty free parafermionic chains 脏自由副费米子链的临界行为
IF 2 3区 物理与天体物理
Journal of Physics A: Mathematical and Theoretical Pub Date : 2024-07-24 DOI: 10.1088/1751-8121/ad6723
Akshat Pandey, Aditya Cowsik
{"title":"Critical behavior of dirty free parafermionic chains","authors":"Akshat Pandey, Aditya Cowsik","doi":"10.1088/1751-8121/ad6723","DOIUrl":"https://doi.org/10.1088/1751-8121/ad6723","url":null,"abstract":"\u0000 A family of $mathbb Z_n$-symmetric non-Hermitian models of Baxter was shown by Fendley to be exactly solvable via a parafermionic generalization of the Clifford algebra. We study these models with spatially random couplings, and obtain several exact results on thermodynamic singularities as the distributions of couplings are varied. We find that these singularities, independent of $n$, are identical to those in the random transverse-field Ising chain; correspondingly the models host infinite-randomness critical points. Similarities in structure to exact methods for random Ising models, a strong-disorder renormalization group, and generalizations to other models with free spectra, are discussed.","PeriodicalId":16763,"journal":{"name":"Journal of Physics A: Mathematical and Theoretical","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2024-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141810238","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
Response theory identifies reaction coordinates and explains critical phenomena in noisy interacting systems 反应理论确定反应坐标，解释嘈杂互动系统中的临界现象
IF 2.1 3区 物理与天体物理
Journal of Physics A: Mathematical and Theoretical Pub Date : 2024-07-24 DOI: 10.1088/1751-8121/ad6068
N Zagli, V Lucarini and G A Pavliotis
{"title":"Response theory identifies reaction coordinates and explains critical phenomena in noisy interacting systems","authors":"N Zagli, V Lucarini and G A Pavliotis","doi":"10.1088/1751-8121/ad6068","DOIUrl":"https://doi.org/10.1088/1751-8121/ad6068","url":null,"abstract":"We consider a class of nonequilibrium systems of interacting agents with pairwise interactions and quenched disorder in the dynamics featuring, in the thermodynamic limit, phase transitions. We identify mathematical conditions on the microscopic interaction structure, namely the separability of the interaction kernel, that lead to a dimension reduction of the system in terms of a finite number of reaction coordinates (RCs). Such RCs prove to be proper nonequilibrium thermodynamic variables as they carry information on correlation, memory and resilience properties of the system. Phase transitions can be identified and quantitatively characterised as singularities of the complex valued susceptibility functions associated to the RCs. We provide analytical and numerical evidence of how the singularities affect the physical properties of finite size systems.","PeriodicalId":16763,"journal":{"name":"Journal of Physics A: Mathematical and Theoretical","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2024-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141777074","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
Quantum fluctuation dynamics of open quantum systems with collective operator-valued rates, and applications to Hopfield-like networks 具有集体算子值速率的开放量子系统的量子波动动力学及其在类霍普菲尔德网络中的应用
IF 2.1 3区 物理与天体物理
Journal of Physics A: Mathematical and Theoretical Pub Date : 2024-07-24 DOI: 10.1088/1751-8121/ad6363
Eliana Fiorelli
{"title":"Quantum fluctuation dynamics of open quantum systems with collective operator-valued rates, and applications to Hopfield-like networks","authors":"Eliana Fiorelli","doi":"10.1088/1751-8121/ad6363","DOIUrl":"https://doi.org/10.1088/1751-8121/ad6363","url":null,"abstract":"We consider a class of open quantum many-body systems that evolves in a Markovian fashion, the dynamical generator being in GKS-Lindblad form. Here, the Hamiltonian contribution is characterized by an all-to-all coupling, and the dissipation features local transitions that depend on collective, operator-valued rates, encoding average properties of the system. These types of generators can be formally obtained by generalizing, to the quantum realm, classical (mean-field) stochastic Markov dynamics, with state-dependent transitions. Focusing on the dynamics emerging in the limit of infinitely large systems, we build on the exactness of the mean-field equations for the dynamics of average operators. In this framework, we derive the dynamics of quantum fluctuation operators, that can be used in turn to understand the fate of quantum correlations in the system. We then apply our results to quantum generalized Hopfield associative memories. Here we show that, asymptotically and at the description level of quantum fluctuations, only a very weak amount of quantum correlations, in the form of quantum discord, emerges beyond classical correlations.","PeriodicalId":16763,"journal":{"name":"Journal of Physics A: Mathematical and Theoretical","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2024-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141777063","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
Can N-th Order Born Approximation Be Exact? N-阶天生近似能否精确？
IF 2 3区 物理与天体物理
Journal of Physics A: Mathematical and Theoretical Pub Date : 2024-07-24 DOI: 10.1088/1751-8121/ad66c1
F. Loran, A. Mostafazadeh
{"title":"Can N-th Order Born Approximation Be Exact?","authors":"F. Loran, A. Mostafazadeh","doi":"10.1088/1751-8121/ad66c1","DOIUrl":"https://doi.org/10.1088/1751-8121/ad66c1","url":null,"abstract":"\u0000 For the scattering of scalar waves in two and three dimensions and electromagnetic waves in three dimensions, we identify a condition on the scattering interaction under which the N-th order Born approximation gives the exact solution of the scattering problem for some N ≥ 1.","PeriodicalId":16763,"journal":{"name":"Journal of Physics A: Mathematical and Theoretical","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2024-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141808651","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
Ratchet-mediated resetting: current, efficiency, and exact solution 以棘轮为媒介的复位：电流、效率和精确解
IF 2.1 3区 物理与天体物理
Journal of Physics A: Mathematical and Theoretical Pub Date : 2024-07-23 DOI: 10.1088/1751-8121/ad62c9
Connor Roberts, Emir Sezik and Eloise Lardet
{"title":"Ratchet-mediated resetting: current, efficiency, and exact solution","authors":"Connor Roberts, Emir Sezik and Eloise Lardet","doi":"10.1088/1751-8121/ad62c9","DOIUrl":"https://doi.org/10.1088/1751-8121/ad62c9","url":null,"abstract":"We model an overdamped Brownian particle that is subject to resetting facilitated by a ratchet potential on a spatially periodic domain. This asymmetric potential switches on with a constant rate, but switches off again only upon the particle’s first passage to a resetting point at the minimum of the potential. Repeating this cycle sustains a non-equilibrium steady-state, as well as a directed steady-state current which can be harnessed to perform useful work. We derive exact analytic expressions for the probability densities of the free-diffusion and resetting phases, the associated currents for each phase, and an efficiency parameter that quantifies the return in current for given power input. These expressions allow us to fully characterise the system and obtain experimentally relevant results such as the optimal current and efficiency. Our results are corroborated by simulations, and have implications for experimentally viable finite-time resetting protocols.","PeriodicalId":16763,"journal":{"name":"Journal of Physics A: Mathematical and Theoretical","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2024-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141777068","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
Interference aided finite resonant response in an undamped forced oscillator 无阻尼强迫振荡器中的干涉辅助有限共振响应
IF 2.1 3区 物理与天体物理
Journal of Physics A: Mathematical and Theoretical Pub Date : 2024-07-23 DOI: 10.1088/1751-8121/ad6412
Shihabul Haque and Jayanta K Bhattacharjee
{"title":"Interference aided finite resonant response in an undamped forced oscillator","authors":"Shihabul Haque and Jayanta K Bhattacharjee","doi":"10.1088/1751-8121/ad6412","DOIUrl":"https://doi.org/10.1088/1751-8121/ad6412","url":null,"abstract":"We apply perturbative techniques to a driven undamped sinusoidal oscillator at resonance. The angular displacement, θ, obeys the dynamics . The linearized approximation gives a divergent response (at long times) but the nonlinear terms make the response finite. We address the nonlinearity-induced finiteness in two ways by separately treating the short and long time scales. At long times, we use the traditional perturbative techniques to extract two drive dependent behaviours—one, the amplitude of oscillation scales as and, two, the time period of the slow mode varies as . For the early time behaviour, on the other hand, we devise an alternate perturbative expansion where the successive terms get larger with the order of evaluation but have alternating signs. The alternating signs (phase differences) between these terms leads to adestructive interference like effect. A careful consideration of this destructive interference like effect between successive terms leads to a finite response which describes the initial behaviour of the amplitude of the response reasonably correctly. We further note that for larger drive values, the system seems to undergo a first order transitional behaviour with a sudden jump in the largest Lyapunov exponent","PeriodicalId":16763,"journal":{"name":"Journal of Physics A: Mathematical and Theoretical","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2024-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141786204","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
The effect of Skyrme–Chern–Simons dynamics on gauged Skyrmions in 2+1 dimensions Skyrme-Chern-Simons 动力学对 2+1 维测量 Skyrmions 的影响
IF 2.1 3区 物理与天体物理
Journal of Physics A: Mathematical and Theoretical Pub Date : 2024-07-23 DOI: 10.1088/1751-8121/ad61d4
Francisco Navarro-Lérida, Eugen Radu and D H Tchrakian
{"title":"The effect of Skyrme–Chern–Simons dynamics on gauged Skyrmions in 2+1 dimensions","authors":"Francisco Navarro-Lérida, Eugen Radu and D H Tchrakian","doi":"10.1088/1751-8121/ad61d4","DOIUrl":"https://doi.org/10.1088/1751-8121/ad61d4","url":null,"abstract":"We study the Skyrmion of the SO(2) gauged O(3) sigma model in dimensions in the presence of a Skyrme–Chern–Simons (SCS) term, and compare its properties with the corresponding properties of the Skyrmion in the presence of the usual Chern–Simons (CS) term. We find that these properties are qualitatively largely similar in both cases, meaning that the SCS density can be employed as an alternative to the CS term also in higher dimensions, most importantly in even dimensions where no CS term is defined, in dimensions. The SCS density employed here is defined in terms of the pair of gauge fields and an auxiliary O(5) Skyrme scalar, which is contracted to an effective O(3) Skyrme scalar. Technically, this study maps the methods to be applied in higher dimensional examples.","PeriodicalId":16763,"journal":{"name":"Journal of Physics A: Mathematical and Theoretical","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2024-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141777066","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
Algebraic formulas and geometric derivation of source identities 源等式的代数公式和几何推导
IF 2.1 3区 物理与天体物理
Journal of Physics A: Mathematical and Theoretical Pub Date : 2024-07-23 DOI: 10.1088/1751-8121/ad62c8
Kohei Motegi and Ryo Ohkawa
{"title":"Algebraic formulas and geometric derivation of source identities","authors":"Kohei Motegi and Ryo Ohkawa","doi":"10.1088/1751-8121/ad62c8","DOIUrl":"https://doi.org/10.1088/1751-8121/ad62c8","url":null,"abstract":"Source identities are fundamental identities between multivariable special functions. We give a geometric derivation of rational and trigonometric source identities. We also give a systematic derivation and extension of various determinant representations for source functions which appeared in previous literature as well as introducing the elliptic version of the determinants, and obtain identities between determinants. We also show several symmetrization formulas for the rational version.","PeriodicalId":16763,"journal":{"name":"Journal of Physics A: Mathematical and Theoretical","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2024-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141777067","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
The Unruh–DeWitt model and its joint interacting Hilbert space 恩鲁-德威特模型及其联合作用希尔伯特空间
IF 2.1 3区 物理与天体物理
Journal of Physics A: Mathematical and Theoretical Pub Date : 2024-07-23 DOI: 10.1088/1751-8121/ad6365
Erickson Tjoa and Finnian Gray
{"title":"The Unruh–DeWitt model and its joint interacting Hilbert space","authors":"Erickson Tjoa and Finnian Gray","doi":"10.1088/1751-8121/ad6365","DOIUrl":"https://doi.org/10.1088/1751-8121/ad6365","url":null,"abstract":"In this work we make the connection between the Unruh–DeWitt (UDW) particle detector model applied to quantum field theory in curved spacetimes and the rigorous construction of the spin-boson (SB) model. With some modifications, we show that existing results about the existence of a SB ground state can be adapted to the UDW model. In the most relevant scenario involving massless scalar fields in (3+1)-dimensional globally hyperbolic spacetimes, where the UDW model describes a simplified model of light–matter interaction, we argue that common choices of the spacetime smearing functions regulate the ultraviolet behaviour of the model but can still exhibit infrared (IR) divergences. In particular, this implies the well-known expectation that the joint interacting Hilbert space of the model cannot be described by the tensor product of a two-dimensional complex Hilbert space and the Fock space of the vacuum representation. We discuss the conditions under which this problem does not arise and the relevance of the operator-algebraic approach for better understanding of particle detector models and their applications.Our work clarifies the connection between obstructions due to Haag’s theorem and IR bosons in the SB models, and paves the way for more rigorous study of entanglement and communication in the UDW framework involving multiple detectors.","PeriodicalId":16763,"journal":{"name":"Journal of Physics A: Mathematical and Theoretical","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2024-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141777069","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
Multi-parameter quantum estimation of single- and two-mode pure Gaussian states 单模和双模纯高斯状态的多参数量子估算
IF 2.1 3区 物理与天体物理
Journal of Physics A: Mathematical and Theoretical Pub Date : 2024-07-22 DOI: 10.1088/1751-8121/ad6364
Gabriele Bressanini, Marco G Genoni, M S Kim and Matteo G A Paris
{"title":"Multi-parameter quantum estimation of single- and two-mode pure Gaussian states","authors":"Gabriele Bressanini, Marco G Genoni, M S Kim and Matteo G A Paris","doi":"10.1088/1751-8121/ad6364","DOIUrl":"https://doi.org/10.1088/1751-8121/ad6364","url":null,"abstract":"We discuss the ultimate precision bounds on the multiparameter estimation of single- and two-mode pure Gaussian states. By leveraging on previous approaches that focused on the estimation of a complex displacement only, we derive the Holevo Cramér–Rao bound (HCRB) for both displacement and squeezing parameter characterizing single and two-mode squeezed states. In the single-mode scenario, we obtain an analytical bound and find that it degrades monotonically as the squeezing increases. Furthermore, we prove that heterodyne detection is nearly optimal in the large squeezing limit, but in general the optimal measurement must include non-Gaussian resources. On the other hand, in the two-mode setting, the HCRB improves as the squeezing parameter grows and we show that it can be attained using double-homodyne detection.","PeriodicalId":16763,"journal":{"name":"Journal of Physics A: Mathematical and Theoretical","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2024-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141753965","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
首页 上一页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信