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In this work, we develop an optimization framework for problems whose solutions are well-approximated by Hierarchical Tucker (HT) tensors, an efficient structured tensor format based on recursive subspace factorizations. By exploiting the…

Numerical Analysis · Mathematics 2014-05-12 Curt Da Silva , Felix J. Herrmann

Compressed sensing extends from the recovery of sparse vectors from undersampled measurements via efficient algorithms to the recovery of matrices of low rank from incomplete information. Here we consider a further extension to the…

Numerical Analysis · Mathematics 2014-11-04 Holger Rauhut , Reinhold Schneider , Zeljka Stojanac

In this work, we perform the one-loop calculation of the scalar and pseudoscalar form factors in the framework of U(3) chiral perturbation theory with explicit tree level exchanges of resonances. The meson-meson scattering calculation from…

High Energy Physics - Phenomenology · Physics 2013-05-30 Zhi-Hui Guo , J. A. Oller , J. Ruiz de Elvira

A simple model for elastic diffractive hadron scattering, reproducing the dip-bump structure is used to analyze PP and $\bar PP$ scattering. The main emphasis is on the delicate and non-trivial dynamics in the dip-bump region, near t=-1…

High Energy Physics - Phenomenology · Physics 2015-05-28 L. Jenkovszky , A. Lengyel , D. Lontkovskyi

For classical discrete systems under constant composition, we re-examine how linear-nonlinear boundary in canonical ensemble, connecting a set of potential energy surface and that of microscopic configuration in thermodynamic equilibrium,…

Statistical Mechanics · Physics 2022-05-25 Subaru Sugie , Koretaka Yuge

In this work, we use valley-topological triangular resonators coupled to an input waveguide to evaluate the quality of the topological protection. To that purpose, we first analyze via numerical simulations the existence of backward…

This paper is the forth part of our series of work, is devoted to the analysis on the multiscales and cascade aspects of the statistical theory of isotropic turbulence based on the new Sedov-type solution. In this paper, we use the explicit…

Fluid Dynamics · Physics 2010-12-24 Zheng Ran

Coupled layer constructions are a valuable tool for capturing the universal properties of certain interacting quantum phases of matter in terms of the simpler data that characterizes the underlying layers. In the study of fracton phases,…

Strongly Correlated Electrons · Physics 2026-05-06 Pranay Gorantla , Abhinav Prem , Nathanan Tantivasadakarn , Dominic J. Williamson

We study the scattering theory of delicate topological insulators (TIs), which are novel topological phases beyond the paradigm of the tenfold way, topological quantum chemistry, and the symmetry indicator method. We demonstrate that the…

Mesoscale and Nanoscale Physics · Physics 2023-05-17 Penghao Zhu , Jiho Noh , Yingkai Liu , Taylor L. Hughes

We analyze the coherent dynamics of excitons in three dimensional topologically disordered networks with traps. If the interactions between the nodes of the network are long ranged, i.e., algebraically decaying as a function of the distance…

Quantum Physics · Physics 2010-02-04 Oliver Muelken , Alexander Blumen

Damping of structures and systems is often dominated by frictional dissipation in connections, the prediction of which remains a longstanding scientific challenge. Previous studies have shown that the actual topography of contact interfaces…

Computational Engineering, Finance, and Science · Computer Science 2026-03-30 Hendrik D. Linder , David A. Najera-Flores , Robert J. Kuether , Malte Krack

This paper concerns the inverse scattering problem of a topologically non-trivial waveguide separating two-dimensional topological insulators. We consider the specific model of a Dirac system. We show that a short-range perturbation can be…

Mathematical Physics · Physics 2026-05-20 Guillaume Bal , Xixian Wang , Zhongjian Wang

Following~\cite{Arkani-Hamed:2017thz}, we derive a recursion relation by applying a one-parameter deformation of kinematic variables for tree-level scattering amplitudes in bi-adjoint $\phi^3$ theory. The recursion relies on properties of…

High Energy Physics - Theory · Physics 2019-05-28 Song He , Qinglin Yang

We construct a scattering matrix formulation for the topological classification of one-dimensional superconductors with effective time reversal symmetry in the presence of interactions. For a closed geometry, Fidkowski and Kitaev have shown…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Dganit Meidan , Alessandro Romito , Piet W. Brouwer

Phase diagram of a discrete counterpart of the classical Heisenberg model, the truncated tetrahedral model, is analyzed on the square lattice, when the interaction is ferromagnetic. Each spin is represented by a unit vector that can point…

Statistical Mechanics · Physics 2016-08-25 Roman Krcmar , Andrej Gendiar , Tomotoshi Nishino

In this paper we describe the rescattering process in optical field ionization through a one-dimensional model, which improves the well-known quasistatic model by adding the smoothed Coulomb potential in its second step. The above-threshold…

chao-dyn · Physics 2007-05-23 Jie Liu , Shi-Gang Chen , Bambi Hu

We propose two different macroscopic dynamics to describe the decay of metastable phases in many-particle systems with local interactions. These dynamics depend on the macroscopic order parameter $m$ through the restricted free energy…

Condensed Matter · Physics 2016-08-31 J. Lee , M. A. Novotny , P. A. Rikvold

We perform a complete one-loop calculation of meson-meson scattering, and of the scalar and pseudoscalar form factors in U(3) chiral perturbation theory with the inclusion of explicit resonance fields. This effective field theory takes into…

High Energy Physics - Phenomenology · Physics 2015-06-04 Zhi-Hui Guo , J. A. Oller , J. Ruiz de Elvira

A general partial-wave multiple scattering theory for scattering from cylindrically symmetric potentials on a topological insulator (TI) surface is developed. As an application, the cross sections for a single scatterer and two scatterers…

Mesoscale and Nanoscale Physics · Physics 2011-12-09 Zhen-Guo Fu , Ping Zhang , Zhigang Wang , Shu-Shen Li

While sign-coherent 4-dimensional structures cannot dominate topological charge fluctuations in the QCD vacuum at all scales due to reflection positivity, it is possible that enhanced coherence exists over extended space-time regions of…

High Energy Physics - Lattice · Physics 2008-11-26 I. Horvath , S. J. Dong , T. Draper , F. X. Lee , K. F. Liu , N. Mathur , H. B. Thacker , J. B. Zhang