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We study quantum magnetism of interacting spinor bosons at integer fillings hopping in a square lattice in the presence of non-Abelian gauge fields. In the strong coupling limit, it leads to the Rotated ferromagnetic Heisenberg model (RFHM)…

Quantum Gases · Physics 2015-12-09 Fadi Sun , Jinwu Ye , Wu-Ming Liu

Harmonically modulated complex solitary waves which are a generalized type of envelope soliton (herein coined oscillatory solitons) are studied for the two U(1)-invariant integrable generalizations of the modified Korteweg-de Vries…

Exactly Solvable and Integrable Systems · Physics 2016-09-09 Stephen C. Anco , Abdus Sattar Mia , Mark R. Willoughby

It was recently found that the spin-orbit (SO) coupling can help to create stable matter-wave solitons in spinor Bose-Einstein condensates in the two-dimensional (2D) free space. Being induced by external laser illumination, the effective…

Pattern Formation and Solitons · Physics 2019-03-15 Yongyao Li , Xiliang Zhang , Rongxuan Zhong , Zhihuan Luo , Bin Liu , Chunqing Huang , Wei Pang , Boris A. Malomed

We develop a novel model of the magnetized spin-1 Bose-Einstein condensate (BEC) of neutral atoms, using the method of many-particle quantum hydrodynamic (QHD) and propose an original derivation of the system of continual equations. We…

Quantum Gases · Physics 2021-01-12 Mariya Iv. Trukhanova , Yuri N. Obukhov

Solid state quantum computing proposals rely on adiabatic operations of the exchange gate among localized spins in nanostructures. We study corrections to the Heisenberg interaction between lateral semiconductor quantum dots in an external…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 V. W. Scarola , S. Das Sarma

A system of spins coupled to a bath is a traditional setup in open quantum systems. Through Heisenberg's equation, the spin dynamics can be modeled by a set of first-order differential equations. Interpreting the terms as colored noise and…

Quantum Physics · Physics 2026-03-23 Scott D. Linz , Jochen Gemmer

Dynamics of magnetic moments near the Mott metal-insulator transition is investigated by a combined slave-rotor and Dynamical Mean-Field Theory solution of the Hubbard model with additional fully-frustrated random Heisenberg couplings. In…

Strongly Correlated Electrons · Physics 2013-07-15 Serge Florens , Priyanka Mohan , C. Janani , T. Gupta , R. Narayanan

We have studied spin excitations in nanosized magnetic films in the Heisenberg model with magnetic dipole and exchange interactions by the spin operator diagram technique. Dispersion relations of spin waves in thin magnetic films (in…

Mesoscale and Nanoscale Physics · Physics 2011-11-16 L. V. Lutsev

The isolation and control of disparate degrees of freedom underpin quantum simulators. We advance the programmability of cold atom quantum simulators with a first realization of the dynamic interplay of spatial and spin degrees of freedom.…

Dipolar interaction between the magnetic moments of electrons is studied as a source for electron spin decay in quantum dots or arrays of quantum dots. This magnetic interaction will govern spin decay, after other sources, such as the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Wolfgang Häusler , Peter Hänggi

We show that, after a transformation, the dynamics of linear perturbations (spin waves) around a singular Bloch point soliton is formally equivalent to a quantum system of an electron in a magnetic monopole field. The analytical solution to…

Mesoscale and Nanoscale Physics · Physics 2014-12-12 R. G. Elías , V. L. Carvalho-Santos , A. S. Núñez , A. D. Verga

The magnetization of quantum dots is discussed in terms of a relatively simple but exactly solvable model Hamiltonian. The model predicts oscillations in spin polarization as a function of dot radius for a fixed electron density. These…

Mesoscale and Nanoscale Physics · Physics 2007-10-11 A. Bansil , D. Nissenbaum , B. Barbiellini , R. Saniz

A dynamic mean-field theory for spin ensembles (spinDMFT) at infinite temperatures on arbitrary lattices is established. The approach is introduced for an isotropic Heisenberg model with $S = \tfrac12$ and external field. For large…

Statistical Mechanics · Physics 2022-02-03 Timo Gräßer , Philip Bleicker , Dag-Björn Hering , Mohsen Yarmohammadi , Götz S. Uhrig

We have revisited the spin dynamics in intermediate-energy heavy-ion collisions based on the improved spin- and isospin-dependent Boltzmann-Uehling-Uhlenbeck transport model, particularly with the constraint of rigorous angular momentum…

Nuclear Theory · Physics 2024-01-18 Rong-Jun Liu , Jun Xu

We study solitary waves of polarization (magnetic solitons) in a two-component Bose gas with slightly unequal repulsive intra- and interspin interactions. In experimentally relevant conditions we obtain an analytical solution which reveals…

Quantum Gases · Physics 2016-04-21 Chunlei Qu , Lev P. Pitaevskii , Sandro Stringari

We propose a novel model which efficiently describes the magnetization dynamics in a magnetic bilayer system. By applying a particular gauge transformation to the Landau-Lifshitz-Gilbert (LLG) equation, we successfully convert the model…

Mesoscale and Nanoscale Physics · Physics 2024-05-01 Xin-Wei Jin , Zhan-Ying Yang , Zhimin Liao , Guangyin Jing , Wen-Li Yang

We present a general approach to the derivation of the effective anisotropy field which determines the dynamical behaviour of magnetic spins according to the Landau-Lifshitz-Gilbert equation. The approach is based on the gradient in…

We study solutions of Ginzburg-Landau-type evolution equations (both dissipative and Hamiltonian) with initial data representing collections of widely-spaced vortices. We show that for long times, the solutions continue to describe…

Analysis of PDEs · Mathematics 2007-05-23 S. Gustafson , I. M. Sigal

Motivated by the magnetically-driven high-temperature ferroelectric behavior of CuO and the subsequent theoretical efforts to understand this intriguing phenomenon, we study a spin model on a two-dimensional square lattice which possesses…

Strongly Correlated Electrons · Physics 2015-06-17 Kanika Pasrija , Sanjeev Kumar

Electron spin echo envelope modulation (ESEEM) has been observed for the first time from a coupled hetero-spin pair of electron and nucleus in liquid solution. Previously, modulation effects in spin echo experiments have only been described…