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Superconducting quantum circuits are a key platform for advancing quantum information processing and simulation. Scaling efforts currently encounter challenges such as Josephson-junction fabrication yield, design frequency targeting, and…

Ribbons of two-dimensional lattices have properties depending sensitively on the morphology of the two edges. For regular ribbons with two parallel straight edges, the atomic chains terminating the two edges may have more than one choices…

Mesoscale and Nanoscale Physics · Physics 2023-04-27 Lei Hao

We load cold atoms into an optical lattice dramatically reshaped by radiofrequency (rf) coupling of state-dependent lattice potentials. This rf dressing changes the unit cell of the lattice at a subwavelength scale, such that its curvature…

Quantum Physics · Physics 2009-11-13 N. Lundblad , P. J. Lee , I. B. Spielman , B. L. Brown , W. D. Phillips , J. V. Porto

The fast multipole method (FMM) performs fast approximate kernel summation to a specified tolerance $\epsilon$ by using a hierarchical division of the domain, which groups source and receiver points into regions that satisfy local…

Numerical Analysis · Computer Science 2012-04-17 Yuancheng Luo , Ramani Duraiswami

Wireless federated learning (WFL) suffers from heterogeneity prevailing in the data distributions, computing powers, and channel conditions of participating devices. This paper presents a new Federated Learning with Adjusted leaRning ratE…

Signal Processing · Electrical Eng. & Systems 2024-04-24 Bingnan Xiao , Jingjing Zhang , Wei Ni , Xin Wang

The heavy-quark mass and wave function renormalizations, energy shift, and radiative corrections to two important couplings, the so-called kinetic couplings, in nonrelativistic lattice QCD are determined to leading order in tadpole-improved…

High Energy Physics - Lattice · Physics 2010-11-01 Colin J. Morningstar

In this paper, we design a series of matching boundary conditions for a two-dimensional compound honeycomb lattice, which has an explicit and simple form, high computing efficiency and good effectiveness of suppressing boundary reflections.…

Numerical Analysis · Mathematics 2024-03-15 Baiyili Liu , Songsong Ji , Gang Pang , Shaoqiang Tang , Lei Zhang

We provide an optimally mixing Markov chain for 6-colorings of the square lattice on rectangular regions with free, fixed, or toroidal boundary conditions. This implies that the uniform distribution on the set of such colorings has strong…

Statistical Mechanics · Physics 2015-06-25 Dimitris Achlioptas , Michael Molloy , Cristopher Moore , Frank Van Bussell

We numerically study orders of planer type $(xy,x^2-y^2)$ quadrupoles on a triangular lattice with nearest-neighbor isotropic $J$ and anisotropic $K$ interactions. This type of quadrupoles possesses unique single-ion anisotropy proportional…

Strongly Correlated Electrons · Physics 2025-01-16 K. Hattori , T. Ishitobi , H. Tsunetsugu

The free energy costs for various defects within an Abrikosov lattice of vortices are calculated using the lowest Landau level approximation (LLL). Defect solutions with boundary conditions for lines to meet at a point (crossing defect) and…

Condensed Matter · Physics 2009-10-22 M. J. W. Dodgson , M. A. Moore

Frequency diverse array (FDA) differs from conventional array techniques in that it imposes an additional frequency offset (FO) across the array elements. The use of FO provides the FDA with the controllable degree of freedom in range…

Signal Processing · Electrical Eng. & Systems 2022-12-21 Wenkai Jia , Wen-Qin Wang , Shungsheng Zhang

We study $\Gamma_3$ quadrupole orders in a face-centered cubic lattice. The $\Gamma_3$ quadrupole moments under cubic symmetry possess a unique cubic invariant in their free energy in the uniform ($q=0$) sector and the triple-q sector for…

Strongly Correlated Electrons · Physics 2023-07-06 Kazumasa Hattori , Takayuki Ishitobi , Hirokazu Tsunetsugu

The particle motion equation in the Radio Frequency (RF) quadrupole is derived. The motion equation shows that the general transform matrix of RF quadrupole with length less than or equal to 0.5b*l (b is the relativistic velocity of…

Accelerator Physics · Physics 2017-09-13 Zhihui Li , Zhijun Wang

We map certain highly correlated electron systems on lattices with geometrical frustration in the motion of added particles or holes to the spatial defect-defect correlations of dimer models in different geometries. These models are studied…

Strongly Correlated Electrons · Physics 2007-05-23 F. Pollmann , J. J. Betouras , E. Runge

Integrated nonlinear photonic technologies, even with state-of-the-art fabrication with only a few nanometer geometry variations, face significant challenges in achieving wafer-scale yield of functional devices. A core limitation lies in…

An optimal trade-off design for fractional order (FO)-PID controller is proposed in this paper with a Linear Quadratic Regulator (LQR) based technique using two conflicting time domain control objectives. The deviation of the state…

Optimization and Control · Mathematics 2016-12-01 Saptarshi Das , Indranil Pan , Shantanu Das

This paper investigates the issues of the hybrid beamforming design for the orthogonal frequency division multiplexing dual-function radar-communication (DFRC) system in multiple task scenarios involving the radar scanning and detection…

Signal Processing · Electrical Eng. & Systems 2025-04-29 Lingyun Xu , Bowen Wang , Ziyang Cheng

The fundamental diversity-multiplexing tradeoff of the three-node, multi-input, multi-output (MIMO), quasi-static, Rayleigh faded, half-duplex relay channel is characterized for an arbitrary number of antennas at each node and in which…

Information Theory · Computer Science 2011-07-01 Sanjay Karmakar , Mahesh K. Varanasi

Many present and future accelerators must operate with high intensity beams when distortions induced by space charge forces are among major limiting factors. Betatron tune depression of above approximately 0.1 per cell leads to significant…

Accelerator Physics · Physics 2018-05-09 A. Romanov , A. Valishev , D. L. Bruhwiler , N. Cook , C. Hall

The quadrupole resonator (QPR) is a dedicated sample-test cavity for the RF characterization of superconducting samples in a wide temperature, RF field and frequency range. Its main purpose are high resolution measurements of the surface…