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The reduced density matrix is variationally optimized for the two-dimensional Hubbard model. Exploiting all symmetries present in the system, we have been able to study $6\times6$ lattices at various fillings and different values for the…

Strongly Correlated Electrons · Physics 2014-03-14 Brecht Verstichel , Ward Poelmans , Stijn De Baerdemacker , Sebastian Wouters , Dimitri Van Neck

We consider a distributed stochastic optimization problem in networks with finite number of nodes. Each node adjusts its action to optimize the global utility of the network, which is defined as the sum of local utilities of all nodes.…

Information Theory · Computer Science 2018-07-31 Wenjie Li , Mohamad Assaad

This lecture gives an introduction into the design of high-energy storage ring lattices. Applying the formalism that has been established in transverse beam optics, the basic principles of the development of a magnet lattice are explained…

Accelerator Physics · Physics 2016-01-20 B. J. Holzer

We present a general framework to construct symmetric, well-conditioned, cross-element compatible nodal distributions that can be used for high-order and high-dimensional finite elements. Starting from the inherent symmetries of an element…

Numerical Analysis · Mathematics 2025-11-26 Julian M. Kaufmann , Matthew J. Zahr

In this pair of papers (Part I and Part II in this issue), we investigate the issue of power control and subcarrier assignment in a sectorized two-cell downlink OFDMA system impaired by multicell interference. As recommended for WiMAX, we…

Information Theory · Computer Science 2009-08-28 Nassar Ksairi , Pascal Bianchi , Philippe Ciblat , Walid Hachem

To improve the cellular energy efficiency, without sacrificing quality-of-service (QoS) at the users, the network topology must be densified to enable higher spatial reuse. We analyze a combination of two densification approaches, namely…

Information Theory · Computer Science 2013-10-22 Emil Björnson , Marios Kountouris , Mérouane Debbah

An arbitrary surface mass density of gravitational lens can be decomposed into multipole components. We simulate the ray-tracing for the multipolar mass distribution of generalized SIS (Singular Isothermal Sphere) model, based on the…

Cosmology and Nongalactic Astrophysics · Physics 2013-03-04 Z. Chu , W. P. Lin , G. L. Li , X. Kang

In this work, we propose and analyze a class of distributed algorithms performing the joint optimization of radio resources in heterogeneous cellular networks made of a juxtaposition of macro and small cells. Within this context, it is…

Optimization and Control · Mathematics 2013-07-30 Chung Shue Chen , Francois Baccelli

This study focusses on self-balancing microgrids to smartly utilize and prevent overdrawing of available power capacity of the grid. A distributed framework for automated distribution of optimal power demand is proposed, where all building…

Systems and Control · Computer Science 2017-01-20 Meenakshi Chatterjee

Lattice regularization of chiral fermions is an important development of the theory of elementary particles. Nontheless, brute force computer simulations are very expensive, if not prohibitive. In this letter I exploit the non-interacting…

High Energy Physics - Lattice · Physics 2009-10-31 Artan Borici

Photonic topology optimization is a technique used to find the electric permittivity distribution of a device that optimizes an electromagnetic figure-of-merit. Two common techniques are used: continuous density-based optimizations that…

Applied Physics · Physics 2021-07-21 Conner Ballew , Gregory Roberts , Tianzhe Zheng , Andrei Faraon

Cell zooming has been becoming an essential enabler for off-grid small cell networks. Traditional models often utilize the numbers of active users in order to determine cell zooming strategies. However, such confidential measurement data…

Systems and Control · Electrical Eng. & Systems 2021-10-27 Masashi Wakaiki , Katsuya Suto , Izumi Masubuchi

Batched sparse (BATS) code is a network coding solution for multi-hop wireless networks with packet loss. Achieving a close-to-optimal rate relies on an optimal degree distribution. Technical challenges arise from the sensitivity of this…

Information Theory · Computer Science 2024-05-15 Hoover H. F. Yin , Jie Wang , Sherman S. M. Chow

This paper provides a formalization of the energy disaggregation problem for particle swarm optimization and shows the successful application of particle swarm optimization for disaggregation in a multi-tenant commercial building. The…

Neural and Evolutionary Computing · Computer Science 2020-06-24 Karoline Brucke , Stefan Arens , Jan-Simon Telle , Sunke~Schlüters , Benedikt Hanke , Karsten von Maydell , Carsten Agert

This paper presents a distributed optimization algorithm tailored to solve optimization problems arising in smart grids. In detail, we propose a variant of the Augmented Lagrangian based Alternating Direction Inexact Newton (ALADIN) method,…

Systems and Control · Electrical Eng. & Systems 2020-04-06 Yuning Jiang , Philipp Sauerteig , Boris Houska , Karl Worthmann

We discuss the interpolation of the electric and magnetic fields within a charge-conserving Particle-In-Cell scheme. The choice of the interpolation procedure for the fields acting on a particle can be constrained by analyzing conservation…

Plasma Physics · Physics 2012-09-14 Igor V. Sokolov

We propose and investigate a mesh deformation technique for PDE constrained shape optimization. Introducing a gradient penalization to the inner product for linearized shape spaces, mesh degeneration can be prevented within the optimization…

Optimization and Control · Mathematics 2021-06-09 Martin Siebenborn , Andreas Vogel

We propose a scheme for controlling the movement of dimers, trimers, and other multimers in optical lattices by modulating the lattice potential. In deep optical lattices the propagation of deeply bound atomic clusters is slowed down by the…

Quantum Gases · Physics 2019-09-11 Arya Dhar , Jami J. Kinnunen

Optimally-chiral electromagnetic fields with maximized helicity density, recently introduced in [1], enable chirality characterization of optically small nanoparticles. Here, we demonstrate a technique to obtain optimally-chiral nearfields…

Applied Physics · Physics 2020-12-02 Mina Hanifeh , Mohammad Albooyeh , Filippo Capolino

Correlations between particles can lead to subtle and sometimes counterintuitive phenomena. We analyze one such case, occurring during the sudden expansion of fermions in a lattice when the initial state has a strong admixture of double…

Quantum Gases · Physics 2009-10-20 F. Heidrich-Meisner , S. R. Manmana , M. Rigol , A. Muramatsu , A. E. Feiguin , E. Dagotto
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