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Multi-agent reinforcement learning (MARL) is well-suited for runtime decision-making in optimizing the performance of systems where multiple agents coexist and compete for shared resources. However, applying common deep learning-based MARL…

The main contribution of the current study is two-fold. First, we investigate the energy landscape of the Ising and Potts models on finite two-dimensional lattices without external fields in the low temperature regime. The complete analysis…

Probability · Mathematics 2023-01-05 Seonwoo Kim , Insuk Seo

The influence of $\Delta$ isobar components on the ground state properties of nuclear systems is investigated for nuclear matter as well as finite nuclei. Many-body wave functions, including isobar configurations, and binding energies are…

Nuclear Theory · Physics 2009-11-07 T. Frick , S. Kaiser , H. Müther , A. Polls , D. R. Entem , R. Machleidt

Reinforcement learning agent-based simulation (RL-ABS) has become an important tool for electricity market mechanism analysis and evaluation. In the modeling of monotone, bounded, multi-segment stepwise bids, existing methods typically let…

Artificial Intelligence · Computer Science 2026-04-14 Zunnan Xu , Zhaoxia Jing , Zhanhua Pan

The quantum theory of coherent Ising machines, based on degenerate optical parametric oscillators and measurement-feedback circuits, is developed using the positive $P({\alpha},{\beta})$ representation of the density operator and the master…

Quantum Physics · Physics 2017-11-22 Taime Shoji , Kazuyuki Aihara , Yoshihisa Yamamoto

Even simplified models of quantum many-body systems can be difficult to analyse. However, taking inspiration from the foundations of physics, one may wonder whether there are practical advantages to constructing alternative beyond-quantum…

Quantum Physics · Physics 2026-05-01 Sahar Atallah , Peter Carrekmor , Michael Garn , Yukuan Tao , Shashank Virmani

We introduce the Eggbox Ising model, a tunable construction of rugged energy landscapes defined by distances to a prescribed set of patterns. Correlated pattern ensembles realize arbitrary k-step replica-symmetry-breaking structures and…

Statistical Mechanics · Physics 2026-02-20 Mutian Shen , Yichen Xu , Zohar Nussinov

Dense cellular networks (DenseNets) are fast becoming a reality with the rapid deployment of base stations (BSs) aimed at meeting the explosive data traffic demand. In legacy systems however this comes with the penalties of higher network…

Information Theory · Computer Science 2017-02-21 Arman Shojaeifard , Kai-Kit Wong , Khairi Ashour Hamdi , Emad Alsusa , Daniel K. C. So , Jie Tang

We revisit the two-site Hubbard-Holstein model by using extended phonon coherent states. The nontrivial singlet bipolaron is studied exactly in the whole coupling regime. The ground-state (GS) energy and the double occupancy probability are…

Strongly Correlated Electrons · Physics 2015-05-13 Yu-Yu Zhang , Tao Liu , Qing-Hu Chen , Xiaoguang Wang , Kelin Wang

We propose and demonstrate a nonlinear optics approach to emulate Ising machines containing up to a million spins and with tailored two and four-body interactions with all-to-all connections. It uses a spatial light modulator to encode and…

Optics · Physics 2020-10-21 Santosh Kumar , He Zhang , Yu-Ping Huang

We develop a quantum-inspired numerical procedure for searching low-energy states of a classical Hamiltonian composed of two-body fully-connected random Ising interactions and a random local longitudinal magnetic field. In this method, we…

Statistical Mechanics · Physics 2022-03-21 Hiroshi Ueda , Yuichi Otsuka , Seiji Yunoki

We provide a statistical and correlational analysis of the spatial and energetic properties of equilibrium configurations of a few-body system of two to eight equally charged classical particles that are confined on a one-dimensional…

Atomic Physics · Physics 2025-12-02 J. M. Dörre , F. K. Diakonos , P. Schmelcher

Multi-cell cooperation (MCC) is an approach for mitigating inter-cell interference in dense cellular networks. Existing studies on MCC performance typically rely on either over-simplified Wyner-type models or complex system-level…

Information Theory · Computer Science 2012-12-07 Kaibin Huang , Jeffrey G. Andrews

We construct the effective lowest-band Bose-Hubbard model incorporating interaction-induced on-site correlations. The model is based on ladder operators for local correlated states, which deviate from the usual Wannier creation and…

Quantum Gases · Physics 2016-11-25 U. Bissbort , F. Deuretzbacher , W. Hofstetter

We propose a new approach for the modeling large datasets of nonstationary spatial processes that combines a latent low rank process and a sparse covariance model. The low rank component coefficients are endowed with a flexible graphical…

Methodology · Statistics 2025-10-08 Matthew LeDuc , William Kleiber , Tomoko Matsuo

Low-lying states in nuclei are investigated using an ensemble of random interactions. Both in the nuclear shell model and in the interacting boson model we find a dominance of $J^P=0^+$ ground states. It is shown that this feature is not…

Nuclear Theory · Physics 2017-11-03 R. Bijker , A. Frank , S. Pittel

Several pool-based active learning algorithms (AL) were employed to model potential energy surfaces (PESs) with a minimum number of electronic structure calculations. Theoretical and empirical results suggest that superior strategies can be…

Chemical Physics · Physics 2021-10-27 Yahya Saleh , Vishnu Sanjay , Armin Iske , Andrey Yachmenev , Jochen Küpper

A new pairwise hybrid machine-learning/molecular mechanics (ML/MM) potential is introduced that is conceived for application to large, heterogeneous condensed-phase systems. The PhysNet ML method describes monomers and short-range dimer…

Chemical Physics · Physics 2026-03-17 Kham Lek Chaton , Eric D. Boittier , Mike Devereux , Markus Meuwly

The Ising model in the presence of a random field, drawn from the asymmetric and anisotropic trimodal probability distribution $P(h_{i})=p\; \delta(h_{i}-h_{0}) + q \delta (h_{i}+ \lambda *h_{0}) + r \delta (h_{i})$, is investigated. The…

Statistical Mechanics · Physics 2013-04-10 Ioannis A. Hadjiagapiou

Ultrashort non-resonant electromagnetic pulses applied to effective one-electron systems may operate on the electronic state as a position or momentum translation operator. As derived here, extension to many-body correlated systems exposes…

Quantum Physics · Physics 2015-04-22 Y. Pavlyukh , J. Berakdar