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Spinor bosons offer conceptually simple picture of macroscopic quantum behavior of topological order-by-disorder: Paramagnetic state of two-component dipolar bosons in orbitally degenerate zig-zag lattice is unstable against infinitezimal…

量子气体 · 物理学 2015-04-28 G. Sun , T. Vekua

Models of bipedal locomotion are hybrid, with a continuous component often generated by a Lagrangian plus actuators, and a discrete component where leg transfer takes place. The discrete component typically consists of a locally embedded…

机器人学 · 计算机科学 2016-06-13 Hamed Razavi , Anthony M. Bloch , Christine Chevallereau , J. W. Grizzle

Topological order in two-dimensional systems is studied by combining the braid group formalism with a gauge invariance analysis. We show that flux insertions (or large gauge transformations) pertinent to the toroidal topology induce…

强关联电子 · 物理学 2007-05-23 Masatoshi Sato , Mahito Kohmoto , Yong-Shi Wu

Topological orders are exotic phases of matter existing in strongly correlated quantum systems, which are beyond the usual symmetry description and cannot be distinguished by local order parameters. Here we report an experimental quantum…

量子物理 · 物理学 2015-06-22 Xinhua Peng , Zhihuang Luo , Supeng Kou , Dieter Suter , Jiangfeng Du

Topology is an important determinant of the behavior of a great number of condensed-matter systems, but until recently has played a minor role in elasticity. We develop a theory for the deformations of a class of twisted non-Euclidean…

软凝聚态物质 · 物理学 2025-08-26 Carlos E. Moguel-Lehmer , Christian D. Santangelo

The critical behaviour of directed self-avoiding walks is studied on parabolic-like systems with a free boundary at x=\pm Ct^\alpha. Using a scaling argument, 1/C is shown to be a marginal variable when \alpha=\nu_\perp/\nu_\parallel=1/2,…

统计力学 · 物理学 2007-05-23 L. Turban

The interplay between strong electron correlation and band topology is at the forefront of condensed matter research. As a direct consequence of correlation, magnetism enriches topological phases and also has promising functional…

Active particles such as swimming bacteria or self-propelled colloids are known to spontaneously organize into fascinating large-scale dynamic structures. The emergence of these collective states from the motility pattern of the individual…

软凝聚态物质 · 物理学 2019-11-20 Hamid Karan , Gerardo E. Pradillo , Petia M. Vlahovska

Foot slip is a major source of instability in bipedal locomotion on low-friction or uncertain terrain. Standard control approaches typically assume no-slip contact and therefore degrade when slip occurs. We propose a control framework that…

系统与控制 · 电气工程与系统科学 2026-04-01 Leonardo Colombo , Álvaro Rodríguez Abella , Alexandre Anahory Simoes , Anthony Bloch

We consider a system consisting of a planar random walk on a square lattice, submitted to stochastic elementary local deformations. Depending on the deformation transition rates, and specifically on a parameter $\eta$ which breaks the…

统计力学 · 物理学 2015-06-24 Guy Fayolle , Cyril Furtlehner

An external magnetic field can be used to remotely control small-scaled robots, making them promising candidates for diverse biomedical and engineering applications. We showed that our magnetically actuated millirobot is highly agile and…

机器人学 · 计算机科学 2021-11-09 Ehab Al Khatib , Pouria Razzaghi , Yildirim Hurmuzlu

It is well known that any cyclic solution of a spin 1/2 neutral particle moving in an arbitrary magnetic field has a nonadiabatic geometric phase proportional to the solid angle subtended by the trace of the spin. For neutral particles with…

量子物理 · 物理学 2009-11-07 Qiong-gui Lin

It is commonly assumed that topological phase transitions in topological superconductors are accompanied by a closing of the topological gap or a change of the symmetry of the system. We demonstrate that an unconventional topological phase…

超导电性 · 物理学 2021-06-16 Maciej M. Maśka , Nicholas Sedlmayr , Aksel Kobiałka , Tadeusz Domański

Walking is a common bipedal and quadrupedal gait and is often associated with terrestrial and aquatic organisms. Inspired by recent evidence of the neural underpinnings of primitive aquatic walking in the little skate Leucoraja erinacea, we…

定量方法 · 定量生物学 2020-09-03 F. Giardina , L. Mahadevan

We examine both quantum and classical versions of the problem of spin evolution in a slowly varying magnetic field. Main attention is given to the first- and second-order adiabatic corrections in the case of in-plane variations of the…

量子物理 · 物理学 2008-11-26 K. Yu. Bliokh

We investigate manifestations of topological order in monoaxial helimagnet Cr$_{1/3}$NbS$_2$ by performing transport measurements on ultra-thin crystals. Upon sweeping the magnetic field perpendicularly to the helical axis, crystals thicker…

介观与纳米尺度物理 · 物理学 2017-06-28 L. Wang , N. Chepiga , D. -K. Ki , L. Li , F. Li , W. Zhu , Y. Kato , O. S. Ovchinnikova , F. Mila , I. Martin , D. Mandrus , A. F. Morpurgo

Variations of transport efficiency in structured environments between distinct individuals in actively self-propelled systems is both hard to study and poorly understood. Here, we study the transport of a non-tumbling {\ecoli} strain, an…

软凝聚态物质 · 物理学 2023-08-28 Pooja Chopra , David Quint , Ajay Gopinathan , Bin Liu

A central question in developmental biology is how size and position are determined. The genetic code carries instructions on how to control these properties in order to regulate the pattern and morphology of structures in the developing…

细胞行为 · 定量生物学 2016-12-05 Krishna Garikipati

In this work, we demonstrate robust walking in the bipedal robot Digit on uneven terrains by just learning a single linear policy. In particular, we propose a new control pipeline, wherein the high-level trajectory modulator shapes the…

机器人学 · 计算机科学 2021-10-06 Lokesh Krishna , Guillermo A. Castillo , Utkarsh A. Mishra , Ayonga Hereid , Shishir Kolathaya

We study the path behavior of the simple symmetric walk on some comb-type subsets of Z^2 which are obtained from Z^2 by removing all horizontal edges belonging to certain sets of values on the y-axis. We obtain some strong approximation…

概率论 · 数学 2019-08-07 Endre Csaki , Antonia Foldes