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A formalism for studying the dynamics of quantum systems embedded in classical spin baths is introduced. The theory is based on generalized antisymmetric brackets and predicts the presence of open-path off-diagonal geometric phases in the…

Quantum Physics · Physics 2016-10-21 Alessandro Sergi

Many branches of theoretical and applied mathematics require a quantifiable notion of complexity. One such circumstance is a topological dynamical system - which involves a continuous self-map on a metric space. There are many notions of…

Category Theory · Mathematics 2024-03-12 Suddhasattwa Das

Spin inertia has been demonstrated to give rise to high-frequency nutational excitations beyond the conventional low-frequency precessional modes. Here, we demonstrate that the hybridization between precessional and nutational magnons may…

Materials Science · Physics 2026-04-01 Subhadip Ghosh , Mikhail Cherkasskii , Ritwik Mondal , Alexander Mook , Levente Rózsa

We establish a criterion for the existence of a topological horseshoe in a class of planar systems generated by periodic switching between two subsystems, each admitting a family of closed orbits, where the mechanism for chaos arises from…

Dynamical Systems · Mathematics 2026-04-30 Junfeng Cheng , Xiao-Song Yang

While multiple time scales generally arise in the dynamics of disordered systems, we find multiple time scales in absence of disorder, in a simple model with hard local constraints. The dynamics of the model, which consists of local…

Statistical Mechanics · Physics 2015-06-22 O. Cepas

Spin-orbit coupling stands as a pivotal determinant in the realm of condensed matter physics. In recent, its profound influence on spin dynamics opens up a captivating arena with promising applications. Notably, the topological…

Mesoscale and Nanoscale Physics · Physics 2024-08-06 Taekoo Oh , Naoto Nagaosa

A covariant hamiltonian formalism for the dynamics of compact spinning bodies in curved space-time in the test-particle limit is described. The construction allows a large class of hamiltonians accounting for specific properties and…

General Relativity and Quantum Cosmology · Physics 2016-12-21 J. W. van Holten

Periodically-driven quantum systems can exhibit topologically non-trivial behaviour, even when their quasi-energy bands have zero Chern numbers. Much work has been conducted on non-interacting quantum-mechanical models where this kind of…

Other Condensed Matter · Physics 2017-03-03 Callum W. Duncan , Patrik Ohberg , Manuel Valiente

We numerically study spin turbulence in a two-dimensional trapped spin-1 spinor Bose--Einstein condensate, focusing on the energy spectrum. The spin turbulence in the trapped system is generated by instability of the helical structure of…

Quantum Gases · Physics 2012-05-31 Kazuya Fujimoto , Makoto Tsubota

We reveal a topological burning glass effect, where the local response of a system exhibits a topological quantization that is enhanced by an integer due to its environmental coupling. As a paradigmatic platform for this intriguing…

Mesoscale and Nanoscale Physics · Physics 2022-10-21 Simon Körber , Lorenzo Privitera , Jan Carl Budich , Björn Trauzettel

Studies of periodically driven one-dimensional many-body systems have advanced our understanding of complex systems and stimulated promising developments in quantum simulation. It is hence of interest to go one step further, by…

Quantum Physics · Physics 2021-06-04 Raditya Weda Bomantara , Sen Mu , Jiangbin Gong

We consider a trapped atomic system in the presence of spatially varying laser fields. The laser-atom interaction generates a pseudospin degree of freedom (referred to simply as spin) and leads to an effective spin-orbit coupling for the…

Other Condensed Matter · Physics 2007-12-18 Tudor D. Stanescu , Chuanwei Zhang , Victor Galitski

Spin textures with nontrivial topology, such as vortices and skyrmions, have attracted attention as a source of unconventional magnetic, transport, and optical phenomena. Recently, a new generation of topological spin textures has been…

Strongly Correlated Electrons · Physics 2021-11-08 Satoru Hayami , Yukitoshi Motome

We investigate spin-orbit torques on magnetization in an insulating ferromagnetic (FM) layer that is brought into a close proximity to a topological insulator (TI). In addition to the well-known field-like spin-orbit torque, we identify an…

Mesoscale and Nanoscale Physics · Physics 2019-07-03 R. J. Sokolewicz , I. A. Ado , M. I. Katsnelson , P. M. Ostrovsky , M. Titov

Recollapsing homogeneous and isotropic models present one of the key ingredients for cyclic scenarios. This is considered here within a quantum cosmological framework in presence of a free scalar field with, in turn, a negative cosmological…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Martin Bojowald , Reza Tavakol

Flow networks are essential for both living organisms and enginneered systems. These networks often present complex dynamics controlled, at least in part, by their topology. Previous works have shown that topologically complex networks…

Soft Condensed Matter · Physics 2020-03-24 Miguel Ruiz-Garcia , Eleni Katifori

A simple, non-disordered spin model has been studied in an effort to understand the origin of the precipitous slowing down of dynamics observed in supercooled liquids approaching the glass transition. A combination of Monte Carlo…

Statistical Mechanics · Physics 2009-11-07 Hui Yin , Bulbul Chakraborty

By incorporating spinning particles into the framework of classical General Relativity, the theory is changed insofar, as, though using holonome coordinates, the connexion becomes asymmetrical. This implies, that partial derivatives do not…

General Relativity and Quantum Cosmology · Physics 2007-05-23 T. Dudas

The folded node is a singularity associated with loss of normal hyperbolicity in systems where mixtures of slow and fast timescales arise due to singular perturbations. Canards are special solutions that reveal a counteractive feature of…

Dynamical Systems · Mathematics 2015-06-03 Mathieu Desroches , Mike R. Jeffrey

A vortex, a circulating flow around a void, is one of the basic topological phenomena in nature. Here we show that vortices generally emerge in spin wave travelling upon topologically nontrivial magnetic texture, due to the transverse…

Mesoscale and Nanoscale Physics · Physics 2024-05-07 Hongbin Wu , Jin Lan