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We generalize the family of approximate momentum average methods to formulate a numerically exact, convergent hierarchy of equations whose solution provides an efficient algorithm to compute the Green's function of a particle dressed by…

Strongly Correlated Electrons · Physics 2021-08-05 Matthew R. Carbone , David R. Reichman , John Sous

We generalize normal mode expansion of Green's tensor $\bar{\bar{G}}(\bf{r},\bf{r}')$ to lossy resonators in open systems, resolving a longstanding open challenge. We obtain a simple yet robust formulation, whereby radiation of energy to…

Optics · Physics 2019-04-10 Parry Y. Chen , David J. Bergman , Yonatan Sivan

Both spontaneous emission and resonant energy transfer can be enhanced significantly when the emitter is placed in the vicinity of metallic or crystal structures. This enhancement can be described using the electromagnetic Green tensor and…

Optics · Physics 2022-07-27 Asaf Farhi , Aristide Dogariu

The tensor network algorithm, a family of prevalent numerical methods for quantum many-body problems, aptly captures the entanglement properties intrinsic to quantum systems, enabling precise representation of quantum states. However, its…

Strongly Correlated Electrons · Physics 2024-06-26 He-Yu Lin , Yibin Guo , Rong-Qiang He , Z. Y. Xie , Zhong-Yi Lu

Modeling nanoscale devices quantum mechanically is a computationally challenging problem where new methods to solve the underlying equations are in a dire need. In this paper, we present an approach to calculate the charge density in…

Numerical Analysis · Mathematics 2013-05-07 U. Hetmaniuk , Y. Zhao , M. P. Anantram

We study the strong coupling between photons and atoms that can be achieved in an optical nanofiber geometry when the interaction is dispersive. While the Purcell enhancement factor for spontaneous emission into the guided mode does not…

Quantum Physics · Physics 2016-02-12 Xiaodong Qi , Ben Q. Baragiola , Poul S. Jessen , Ivan H. Deutsch

Tuning tensor program generation involves searching for various possible program transformation combinations for a given program on target hardware to optimize the tensor program execution. It is already a complex process because of the…

Programming Languages · Computer Science 2023-12-29 Gaurav Verma , Siddhisanket Raskar , Zhen Xie , Abid M Malik , Murali Emani , Barbara Chapman

We have modeled transport properties of nanostructures using the Green's function method within the framework of the density-functional theory. The scheme is computationally demanding so that numerical methods have to be chosen carefully. A…

Computational Physics · Physics 2007-05-23 Paula Havu , Ville Havu , Martti J. Puska , Mikko H. Hakala , Adam S. Foster , Risto M. Nieminen

Over the past 15 years there has been an ongoing debate regarding the influence of the photonic environment on Forster resonance energy transfer (FRET). Disparate results corresponding to enhancement, suppression and null effect of the…

Optics · Physics 2018-08-15 Cristian L. Cortes , Zubin Jacob

Density functional theory (DFT)-based simulations of materials have first-principles accuracy, but are very computationally expensive. For simulating various properties of multi-component alloys, the cluster expansion (CE) technique has…

Materials Science · Physics 2026-04-01 Jacob Jeffries , Bochuan Sun , Enrique Martinez

Modern scientific studies often collect data sets in the forms of tensors, which call for innovative statistical analysis methods. In particular, there is a pressing need for tensor clustering methods to understand the heterogeneity in the…

Methodology · Statistics 2021-04-27 Qing Mai , Xin Zhang , Yuqing Pan , Kai Deng

In this work, we introduce TUNeS (Temporal UNet emulator for Structure formation), a neural network framework for accelerating N-body simulations by predicting the nonlinear evolution of the matter density field from an initial particle…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-20 Yuqi Kang , Hu Bin , Dongxing Li , Jan Hamann

Ensemble learning has gain attention in resent deep learning research as a way to further boost the accuracy and generalizability of deep neural network (DNN) models. Recent ensemble training method explores different training algorithms or…

Machine Learning · Computer Science 2023-01-20 Jingchi Zhang , Huanrui Yang , Hai Li

The theoretical method to study strong coupling between an ensemble of quantum emitters (QEs) and surface plasmons excited by the nanoparticle cluster has been presented by using a rigorous first-principles electromagnetic Green's tensor…

Quantum Physics · Physics 2017-12-29 Jun Ren , Tong Wu , Xiangdong Zhang

We present an efficient implementation of the Generalized Green's function Cluster Expansion (GGCE), which is a new method for computing the ground-state properties and dynamics of polarons (single electrons coupled to lattice vibrations)…

Computational Physics · Physics 2023-10-16 Matthew R. Carbone , Stepan Fomichev , Andrew J. Millis , Mona Berciu , David R. Reichman , John Sous

Different densities of electromagnetic states inside a one dimensional photonic crystal (1D PC) are studied. Hertz vector formalism is used to calculate Green tensor inside a layered structure, semi-analytically. Based on the obtained Green…

Optics · Physics 2022-03-18 Ebrahim Forati

In a fusion or advanced fission reactor, high energy neutrons induce the formation of extended defect clusters in structural component materials, degrading their properties over time. Such damage can be partially recovered via a thermal…

Materials Science · Physics 2018-10-24 I. Rovelli , S. L. Dudarev , A. P. Sutton

Current computational methods for exon-intron structure prediction from a cluster of transcript (EST, mRNA) data do not exhibit the time and space efficiency necessary to process large clusters of over than 20,000 ESTs and genes longer than…

Genomics · Quantitative Biology 2010-05-11 Paola Bonizzoni , Gianluca Della Vedova , Yuri Pirola , Raffaella Rizzi

Spectral clustering and co-clustering are well-known techniques in data analysis, and recent work has extended spectral clustering to square, symmetric tensors and hypermatrices derived from a network. We develop a new tensor spectral…

Social and Information Networks · Computer Science 2016-03-02 Tao Wu , Austin R. Benson , David F. Gleich

The Green's function has been an indispensable tool to study many-body systems that remain one of the biggest challenges in modern quantum physics for decades. The complicated calculation of Green's function impedes the research of…

Quantum Physics · Physics 2022-05-04 Jie Zhu , Yuya O. Nakagawa , Chuan-Feng Li , Guang-Can Guo , Yong-Sheng Zhang
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