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Optimizing temperature distributions for training neural quantum states using parallel tempering. 优化温度分布训练神经量子态使用并行回火。
IF 2.2 3区 物理与天体物理
Physical Review E Pub Date : 2025-05-01 DOI: 10.1103/PhysRevE.111.055306
Conor Smith, Quinn T Campbell, Tameem Albash
{"title":"Optimizing temperature distributions for training neural quantum states using parallel tempering.","authors":"Conor Smith, Quinn T Campbell, Tameem Albash","doi":"10.1103/PhysRevE.111.055306","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.055306","url":null,"abstract":"<p><p>Parametrized artificial neural networks (ANNs) can be very expressive ansatzes for variational algorithms, reaching state-of-the-art energies on many quantum many-body Hamiltonians. Nevertheless, the training of the ANN can be slow and stymied by the presence of local minima in the parameter landscape. One approach to mitigate this issue is to use parallel tempering methods, and in this work, we focus on the role played by the temperature distribution of the parallel tempering replicas. Using an adaptive method that adjusts the temperatures in order to equate the exchange probability between neighboring replicas, we show that this temperature optimization can significantly increase the success rate of the variational algorithm with negligible computational cost by eliminating bottlenecks in the replicas' random walk. We demonstrate this using two different neural networks, a restricted Boltzmann machine and a feedforward network, which we use to study a toy problem based on a permutation invariant Hamiltonian with a pernicious local minimum and the J_{1}-J_{2} model on a rectangular lattice.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 5-2","pages":"055306"},"PeriodicalIF":2.2,"publicationDate":"2025-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144327429","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
Generalized unscented transformation for forecasting non-Gaussian processes. 非高斯过程预测的广义unscented变换。
IF 2.2 3区 物理与天体物理
Physical Review E Pub Date : 2025-05-01 DOI: 10.1103/PhysRevE.111.054135
Donald Ebeigbe, Tyrus Berry, Andrew J Whalen, Michael M Norton, Dan Simon, Timothy D Sauer, Steven J Schiff
{"title":"Generalized unscented transformation for forecasting non-Gaussian processes.","authors":"Donald Ebeigbe, Tyrus Berry, Andrew J Whalen, Michael M Norton, Dan Simon, Timothy D Sauer, Steven J Schiff","doi":"10.1103/PhysRevE.111.054135","DOIUrl":"10.1103/PhysRevE.111.054135","url":null,"abstract":"<p><p>The observations of linear and nonlinear physical processes are subject to random errors, which can be represented by a wide variety of probability distributions. In contrast, most estimation and inference techniques rely on a Gaussian assumption, which may limit our ability to make model-based predictions. There is a need for data assimilation methods that can capture and leverage the higher moments of these physical processes for state estimation and forecasting. In this paper, we develop the generalized unscented transform (GenUT), which uses a minimal number of sample points to accurately capture elements of the higher moments of most probability distributions. Constraints can be analytically enforced on the sample points while guaranteeing at least second-order accuracy. The GenUT is widely applicable to non-Gaussian distributions, which can substantially improve the assimilation of observations of nonlinear physics, such as the modeling of infectious diseases.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 5-1","pages":"054135"},"PeriodicalIF":2.2,"publicationDate":"2025-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12184836/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144327304","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
Bacterial chemotaxis considering memory effects. 考虑记忆效应的细菌趋化性。
IF 2.2 3区 物理与天体物理
Physical Review E Pub Date : 2025-05-01 DOI: 10.1103/PhysRevE.111.L052402
Manuel Mayo, Rodrigo Soto
{"title":"Bacterial chemotaxis considering memory effects.","authors":"Manuel Mayo, Rodrigo Soto","doi":"10.1103/PhysRevE.111.L052402","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.L052402","url":null,"abstract":"<p><p>Chemotaxis in bacteria such as Escherichia coli is controlled by the slow methylation of chemoreceptors. As a consequence, intrinsic time and length scales of tens of seconds and hundreds of micrometers emerge, making the Keller-Segel equations invalid when the chemical signal changes on these scales, as occurs in several natural environments. Using a kinetic approach, we show that chemotaxis is described using the concentration field of the protein that controls tumbling in addition to bacterial density. The macroscopic equations for these fields are derived, which describe the nonlocal response.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 5","pages":"L052402"},"PeriodicalIF":2.2,"publicationDate":"2025-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144327250","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
Exact mean and variance of the squared Hellinger distance for random density matrices. 随机密度矩阵海灵格距离平方的精确均值和方差。
IF 2.2 3区 物理与天体物理
Physical Review E Pub Date : 2025-05-01 DOI: 10.1103/PhysRevE.111.054204
Vinay Kumar, Kaushik Vasan, Santosh Kumar
{"title":"Exact mean and variance of the squared Hellinger distance for random density matrices.","authors":"Vinay Kumar, Kaushik Vasan, Santosh Kumar","doi":"10.1103/PhysRevE.111.054204","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.054204","url":null,"abstract":"<p><p>The Hellinger distance between quantum states is a significant measure in quantum information theory, known for its Riemannian and monotonic properties. It is easier to compute than the Bures distance, another measure that shares these properties, particularly in information-theoretic applications. Furthermore, in these applications, random quantum states are crucial for securing communication, studying entanglement, benchmarking quantum systems, aiding in quantum state tomography, and understanding how quantum systems behave in noisy environments. Recent works have computed exact results for distance measures such as Bures and Hilbert-Schmidt for random density matrices; however, no such results exist for the Hellinger distance. In this work, we derive the mean and variance of the Hellinger distance between pairs of density matrices, where one or both matrices are random. Our derivation utilizes Weingarten functions to perform the necessary unitary group integrals and is supported by existing results for eigenvalue moments of random density matrices. Along the way, we also obtain exact results for the mean affinity and mean square affinity. The first two cumulants of the Hellinger distance allow us to propose an approximation for the corresponding probability density function based on the gamma distribution. Our analytical results are corroborated through Monte Carlo simulations, showing excellent agreement.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 5-1","pages":"054204"},"PeriodicalIF":2.2,"publicationDate":"2025-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144327299","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
Geometric properties of the additional third-order transitions in the two-dimensional Potts model. 二维波茨模型中附加三阶跃迁的几何性质。
IF 2.2 3区 物理与天体物理
Physical Review E Pub Date : 2025-05-01 DOI: 10.1103/PhysRevE.111.054128
Wei Liu, Xin Zhang, Lei Shi, Kai Qi, Xiang Li, Fangfang Wang, Zengru Di
{"title":"Geometric properties of the additional third-order transitions in the two-dimensional Potts model.","authors":"Wei Liu, Xin Zhang, Lei Shi, Kai Qi, Xiang Li, Fangfang Wang, Zengru Di","doi":"10.1103/PhysRevE.111.054128","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.054128","url":null,"abstract":"<p><p>Within the canonical ensemble framework, this paper investigates the presence of higher-order transition signals in the q-state Potts model (for q≥3), using two geometric order parameters: isolated spins number and the average perimeter of clusters. Our results confirm that higher-order transitions exist in the Potts model, where the number of isolated spins reliably indicates third-order independent transitions. This signal persists regardless of the system's phase transition order, even at higher values of q. In contrast, the average perimeter of clusters, used as an order parameter for detecting third-order dependent transitions, shows that for q=6 and 8, the signal for third-order dependent transitions disappears, indicating its absence in systems undergoing first-order transitions. These findings are consistent with results from microcanonical inflection-point analysis, further validating the robustness of this approach.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 5-1","pages":"054128"},"PeriodicalIF":2.2,"publicationDate":"2025-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144327307","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
Griffiths phase in a three-dimensional Ising model with aperiodic interactions. 具有非周期相互作用的三维Ising模型中的Griffiths相位。
IF 2.2 3区 物理与天体物理
Physical Review E Pub Date : 2025-05-01 DOI: 10.1103/PhysRevE.111.054123
Daniel Salvador, M H R Tragtenberg
{"title":"Griffiths phase in a three-dimensional Ising model with aperiodic interactions.","authors":"Daniel Salvador, M H R Tragtenberg","doi":"10.1103/PhysRevE.111.054123","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.054123","url":null,"abstract":"<p><p>We simulate a ferromagnetic Ising model with aperiodic interactions in three dimensions using the Monte Carlo method. When the strength of aperiodicity is weak, the systems exhibit behavior similar to that of a pure system. As we increase the value of r, we observe that the heat capacity develops a multipeak structure for all sequences. For both marginal and relevant sequences, we observe a region of divergent susceptibility, indicating the existence of a Griffiths phase. We find that the extent of this region is related to the wandering exponent and the strength of aperiodicity.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 5-1","pages":"054123"},"PeriodicalIF":2.2,"publicationDate":"2025-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144327309","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
Streamlined Krylov construction and classification of ergodic Floquet systems. 流线型的Krylov结构和遍历Floquet系统的分类。
IF 2.2 3区 物理与天体物理
Physical Review E Pub Date : 2025-05-01 DOI: 10.1103/PhysRevE.111.L052202
Nikita Kolganov, Dmitrii A Trunin
{"title":"Streamlined Krylov construction and classification of ergodic Floquet systems.","authors":"Nikita Kolganov, Dmitrii A Trunin","doi":"10.1103/PhysRevE.111.L052202","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.L052202","url":null,"abstract":"<p><p>We generalize the Krylov construction to periodically driven (Floquet) quantum systems using the theory of orthogonal polynomials on the unit circle. Compared to other approaches, our method works faster and maps any quantum dynamics to a one-dimensional tight-binding Krylov chain, which is efficiently simulated on both classical and quantum computers. We also suggest a classification of chaotic and integrable Floquet systems based on the asymptotic behavior of Krylov chain hopping parameters (Verblunsky coefficients). We illustrate this classification with random matrix ensembles, kicked top, and kicked Ising chain.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 5","pages":"L052202"},"PeriodicalIF":2.2,"publicationDate":"2025-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144327320","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
Added mass effect in coupled Brownian particles. 耦合布朗粒子的附加质量效应。
IF 2.2 3区 物理与天体物理
Physical Review E Pub Date : 2025-05-01 DOI: 10.1103/PhysRevE.111.054105
Long Him Cheung, Christopher Jarzynski
{"title":"Added mass effect in coupled Brownian particles.","authors":"Long Him Cheung, Christopher Jarzynski","doi":"10.1103/PhysRevE.111.054105","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.054105","url":null,"abstract":"<p><p>The added mass effect is the contribution to a Brownian particle's effective mass arising from the hydrodynamic flow its motion induces. For a spherical particle in an incompressible fluid, the added mass is half the fluid's displaced mass, but in a compressible fluid its value depends on a competition between timescales. Here we illustrate this behavior with a solvable model of two harmonically coupled Brownian particles of mass m, one representing the sphere and the other representing the immediately surrounding fluid. The measured distribution of the Brownian particle's velocity, P(v[over ¯]), follows a Maxwell-Boltzmann distribution with an effective mass m^{*}. Solving analytically for m^{*}, we find that its value is determined by three relevant timescales: the momentum relaxation time, t_{p}; the harmonic oscillation period, τ; and the velocity measurement time resolution, Δt. In limiting cases of large timescale separations, m^{*} reduces to m or 2m. The model exhibits similar behavior when generalized to the case of unequal masses.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 5-1","pages":"054105"},"PeriodicalIF":2.2,"publicationDate":"2025-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144327322","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
Traveling chimera states by weak temporal couplings. 弱时间耦合的旅行嵌合体状态。
IF 2.2 3区 物理与天体物理
Physical Review E Pub Date : 2025-05-01 DOI: 10.1103/PhysRevE.111.054220
Wenbin Mao, Guoshen Liang, Zonghua Liu
{"title":"Traveling chimera states by weak temporal couplings.","authors":"Wenbin Mao, Guoshen Liang, Zonghua Liu","doi":"10.1103/PhysRevE.111.054220","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.054220","url":null,"abstract":"<p><p>The mechanisms of self-sustained oscillations of brain rhythms have been studied for a long time and it is revealed that the emergence of a pacemaker loop takes a key role for these rhythms. However, it is unclear how this pacemaker loop plays a role in the resting state of the brain, where the characteristic slow-wave activities show a multi-scaled feature and can switch easily between different dynamics states. To study this problem, herein we present a neural model of pacemaker looplike network, with a weak temporal electrical coupling to mark the resting state of the brain. We find that different dynamics patterns can be generated by this model, including the disorder, traveling chimera state, chimera state, and synchronization. Interestingly, we observe a sensitive switching effect between the region of traveling chimera state and that of chimera state, which may provide new insights to the mechanism of quickly switching between different rhythms of the brain in the resting state. Further, we introduce an index Q to describe the fluctuations of the local order parameter of network and conjecture that there is a new regularity caused by the fluctuations. We find that Q is optimally dependent on the matching of parameters and thus confirms the conjecture. Moreover, we show that the observed traveling chimera state is robust to different forms of temporal couplings.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 5-1","pages":"054220"},"PeriodicalIF":2.2,"publicationDate":"2025-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144327344","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
Two minimal-variable symplectic integrators for stochastic spin systems. 随机自旋系统的两个最小变量辛积分器。
IF 2.2 3区 物理与天体物理
Physical Review E Pub Date : 2025-05-01 DOI: 10.1103/PhysRevE.111.054201
Sagy Ephrati, Erik Jansson
{"title":"Two minimal-variable symplectic integrators for stochastic spin systems.","authors":"Sagy Ephrati, Erik Jansson","doi":"10.1103/PhysRevE.111.054201","DOIUrl":"https://doi.org/10.1103/PhysRevE.111.054201","url":null,"abstract":"<p><p>We present two symplectic integrators for stochastic spin systems, based on the classical implicit midpoint method. The spin systems are identified with Lie-Poisson systems in matrix algebras, after which the numerical methods are derived from structure-preserving Lie-Poisson integrators for isospectral stochastic matrix flows. The integrators are thus geometric methods, require no auxiliary variables, and are suited for general Hamiltonians and a large class of stochastic forcing functions. Conservation properties and convergence rates are shown for several single-spin and multispin systems.</p>","PeriodicalId":48698,"journal":{"name":"Physical Review E","volume":"111 5-1","pages":"054201"},"PeriodicalIF":2.2,"publicationDate":"2025-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144327345","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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