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We discuss how strongly interacting higher-order symmetry protected topological (HOSPT) phases can be characterized from the entanglement perspective: First, we introduce a topological many-body invariant which reveals the non-commutative…

Strongly Correlated Electrons · Physics 2020-08-12 Yizhi You , Julian Bibo , Frank Pollmann

We use group theoretic ideas and coset space methods to deal with problems in polarization optics of a global nature. These include the possibility of a globally smooth phase convention for electric fields for all points on the Poincar\'{e}…

Classical Physics · Physics 2018-02-13 Arvind , S. Chaturvedi , N. Mukunda

Vision-language models (VLMs) benefit from multiple vision encoders, but naively stacking them yields diminishing returns while multiplying inference costs. We propose SCOPE, a Mixture-of-Encoders (MoEnc) framework that dynamically selects…

Computer Vision and Pattern Recognition · Computer Science 2025-10-20 Tianyu Zhang , Suyuchen Wang , Chao Wang , Juan Rodriguez , Ahmed Masry , Xiangru Jian , Yoshua Bengio , Perouz Taslakian

Whereas dedicated scene representations are required for each different task in conventional robotic systems, this paper demonstrates that a unified representation can be used directly for multiple key tasks. We propose the Log-Gaussian…

Robotics · Computer Science 2024-10-24 Lan Wu , Ki Myung Brian Lee , Cedric Le Gentil , Teresa Vidal-Calleja

Hand-object pose estimation (HOPE) aims to jointly detect the poses of both a hand and of a held object. In this paper, we propose a lightweight model called HOPE-Net which jointly estimates hand and object pose in 2D and 3D in real-time.…

Computer Vision and Pattern Recognition · Computer Science 2020-04-02 Bardia Doosti , Shujon Naha , Majid Mirbagheri , David Crandall

Higher-order exceptional points (EPs) in optical structures enable ultra-sensitive responses to perturbations. However, previous investigations on higher-order EPs have predominantly focused on coupled systems, leaving their fundamental…

The surface states of intrinsic higher order topological phases are protected by the spatial symmetries of a finite sample. This property makes the existing scattering theory of topological invariants inapplicable because the scattering…

Mesoscale and Nanoscale Physics · Physics 2025-08-27 R. Johanna Zijderveld , Isidora Araya Day , Anton R. Akhmerov

We discuss the problem of optimizing the distance function from a given point, subject to polynomial constraints. A key algebraic invariant that governs its complexity is the Euclidean distance degree, which pertains to first-order…

Algebraic Geometry · Mathematics 2026-03-16 Sandra Di Rocco , Kemal Rose , Luca Sodomaco

Graphical models with High Order Potentials (HOPs) have received considerable interest in recent years. While there are a variety of approaches to inference in these models, nearly all of them amount to solving a linear program (LP)…

Artificial Intelligence · Computer Science 2013-09-27 Elad Mezuman , Daniel Tarlow , Amir Globerson , Yair Weiss

Recently, Convolutional Neural Networks have shown promising results for 3D geometry prediction. They can make predictions from very little input data such as a single color image. A major limitation of such approaches is that they only…

Computer Vision and Pattern Recognition · Computer Science 2017-11-08 Christian Häne , Shubham Tulsiani , Jitendra Malik

Higher-order topological phases (HOTPs) hold gapped bulk bands and topological boundary states localized in boundaries with codimension higher than one. In this paper, we provide a unified construction and topological characterization of…

Mesoscale and Nanoscale Physics · Physics 2022-12-09 Zhoutao Lei , Yuangang Deng , Linhu Li

The Benalcazar-Bernevig-Hughes(BBH) model is one of the most representative higher-order topological insulators with different bulk-edge correspondence comparing conventional topological states. In this work, we propose to realize a…

Mesoscale and Nanoscale Physics · Physics 2022-09-07 Shaoliang Zhang

Reflection and transmission of narrow beams at a dielectric interface is analysed. It is confirmed that for arbitrary incidence two types of beams - Elegant Hermite-Gaussians of linear polarization and Elegant Laguerre-Gaussians of circular…

Optics · Physics 2013-02-19 Wojciech Nasalski

We present a systematic treatment of higher-order modes of vacuum-clad ultrathin optical fibers. We show that, for a given fiber, the higher-order modes have larger penetration lengths, larger effective mode radii, and larger fractional…

Optics · Physics 2017-08-23 Fam Le Kien , Thomas Busch , Viet Giang Truong , Sile Nic Chormaic

In polarization optics, various topological constructs, namely Poincar\'e spheres of different orders, are used to represent uniform and structured polarization distributions. Similarly, there are also structured polarization optical…

Optics · Physics 2025-07-08 Mohammad Umar , P. Senthilkumaran

Non-separable superpositions of polarization and spatial modes in Gaussian beams have shown rich patterns of spatially-variable polarization encoded in the transverse mode of the light, with the potential for many applications. In this work…

Optics · Physics 2020-01-08 Brianna M. Holmes , Enrique J. Galvez

Recently, a one-to-one correspondence between non-trivial non-Hermitian topology and directional amplification has been demonstrated, theoretically and experimentally, for the case of one complex band. Here, we extend our framework to…

Mesoscale and Nanoscale Physics · Physics 2025-09-25 Clara C. Wanjura , Andreas Nunnenkamp

The angular momentum of light can be elegantly mapped onto high-order Poincare spheres, providing a powerful framework for describing structured light beams. Such beams have shown extraordinary potential across diverse applications,…

For robot manipulation, a complete and accurate object shape is desirable. Here, we present a method that combines visual and haptic reconstruction in a closed-loop pipeline. From an initial viewpoint, the object shape is reconstructed…

Robotics · Computer Science 2024-09-11 Lukas Rustler , Jiri Matas , Matej Hoffmann

Enriching condensed-matter systems with quantum optical phenomena currently drives intense research efforts, particularly to introduce collective quantum correlations. Here we access this paradigm, by confining dipolar excitons in a…

Quantum Gases · Physics 2025-10-16 Camille Lagoin , Corentin Morin , Kirk Baldwin , Loren Pfeiffer , Francois Dubin