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I present a brief introduction to the lattice formulation of quantum field theory, and discuss the use of lattice simulations for studies in particle physics phenomenology. The computation of $f_B$, the decay constant of the $B$-meson, is…

High Energy Physics - Lattice · Physics 2007-05-23 C. T. Sachrajda

Using an atomistic model that simultaneously treats the dynamics of translational and spin degrees of freedom, we perform combined molecular and spin dynamics simulations to investigate the mutual influence of the phonons and magnons on…

Materials Science · Physics 2017-01-30 Dilina Perera , Don M. Nicholson , Markus Eisenbach , G. Malcolm Stocks , David P. Landau

Vibronic coupling has a dramatic influence over a large number of molecular processes, ranging from photo-chemistry, to spin relaxation and electronic transport. The simulation of vibronic coupling with multi-reference wavefunction methods…

Chemical Physics · Physics 2023-10-17 Lorenzo A. Mariano , Sourav Mondal , Alessandro Lunghi

We propose an optical lattice setup to investigate spin chains and ladders. Electric and magnetic fields allow us to vary at will the coupling constants, producing a variety of quantum phases including the Haldane phase, critical phases,…

Strongly Correlated Electrons · Physics 2007-05-23 J. J. Garcia-Ripoll , M. A. Martin-Delgado , J. I. Cirac

The extensive analysis of the dynamics of relativistic spinning particles is presented. Using the coadjoint orbits method the Hamiltonian dynamics is explicitly described. The main technical tool is the factorization of general Lorentz…

High Energy Physics - Theory · Physics 2020-09-07 Krzysztof Andrzejewski , Cezary Gonera , Joanna Goner , Piotr Kosinski , Pawel Maslanka

We study the dynamics of macroscopically-coherent matter waves of an ultra-cold atomic spin-one or spinor condensate on a ring lattice of six sites and demonstrate a novel type of spatio-temporal internal Josephson effect. Using a discrete…

Quantum Gases · Physics 2015-06-12 Indubala I Satija , Carlos L. Pando , Eite Tiesinga

Simulating many-body quantum systems poses significant challenges due to the large size of the state space. To address this issue, we propose using an SU(2) coherent state for individual spins to simulate spins on a lattice and derive…

Quantum Physics · Physics 2025-02-14 Grace Hsiao-Han Chuang , Abhijit Pendse

We derive and analyze, analytically and numerically, two first-order continuum models to approximate the nonlinear dynamics of granular crystal lattices, focusing specifically on solitary waves, periodic waves, and dispersive shock waves.…

Pattern Formation and Solitons · Physics 2025-07-11 Su Yang , Gino Biondini , Christopher Chong , Panayotis G. Kevrekidis

The spin dynamics of atomic Bose-Einstein condensates confined in a one-dimensional optical lattice is studied. The condensates at each lattice site behave like spin magnets that can interact with each other through both the light-induced…

Soft Condensed Matter · Physics 2009-11-07 Weiping Zhang , Han Pu , Chris Search , Pierre Meystre

External non-uniform magnetic fields acting on molecules induce non-collinear spin-densities and spin-symmetry breaking. This necessitates a general two-component Pauli spinor representation. In this paper, we report the implementation of a…

Chemical Physics · Physics 2018-05-23 Sangita Sen , Erik I. Tellgren

We simulate the collective dynamics in spin lattices with long range interactions and collective decay in one, two and three dimensions. Starting from a dynamical mean-field approach derived by local factorization of the density operator we…

Quantum Physics · Physics 2016-01-20 S. Krämer , H. Ritsch

We derive the first order phase space dependence of spin-orbit motion of a particle in an accelerator by expanding the Thomas-BMT equation. Different forms can be found in the literature and we show how these are related, and care is taken…

Accelerator Physics · Physics 2024-02-20 M. G. Signorelli , G. H. Hoffstaetter

The coupled dynamics of low lying modes, including the scissors mode, and various giant quadrupole resonances are studied with the help of the Wigner Function Moments method generalized to take into account spin degrees of freedom.…

Nuclear Theory · Physics 2015-05-28 E. B. Balbutsev , I. V. Molodtsova , P. Schuck

A lattice system of spinor atoms or molecules experiencing quadratic Zeeman effect is considered. This can be an optical lattice with sufficiently deep wells at lattice sites, so that the system is in an isolating state, where atoms are…

Quantum Gases · Physics 2018-11-21 V. I. Yukalov , E. P. Yukalova

Spin-orbit coupling in organic crystals is responsible for many spin-relaxation phenomena, going from spin diffusion to intersystem crossing. With the goal of constructing effective spin-orbit Hamiltonians to be used in multiscale…

Materials Science · Physics 2017-03-01 Subhayan Roychoudhury , Stefano Sanvito

Atomistic simulations of thermodynamic properties of magnetic materials rely on an accurate modelling of magnetic interactions and an efficient sampling of the high-dimensional spin space. Recent years have seen significant progress with a…

Statistical Mechanics · Physics 2019-03-27 Ning Wang , Thomas Hammerschmidt , Jutta Rogal , Ralf Drautz

Classical spin models with discrete or continuous degrees of freedom arise in many studies of complex physical systems. A wide class of hard real-life optimisation problems can be formulated as a minimisation of a spin Hamiltonian. Here we…

Disordered Systems and Neural Networks · Physics 2018-12-12 Kirill P. Kalinin , Natalia G. Berloff

In the paper a self-consistent theoretical description of the lattice and magnetic properties of a model system with magnetoelastic interaction is presented. The dependence of magnetic exchange integrals on the distance between interacting…

Statistical Mechanics · Physics 2016-12-07 T. Balcerzak , K. Szałowski , M. Jaščur

We employ first-principles techniques tailored to properly describe semiconductors (modified Becke-Johnson potential added to the exchange-correlation functional), to obtain the electronic band structures of both the zinc-blende and…

Mesoscale and Nanoscale Physics · Physics 2016-10-19 Martin Gmitra , Jaroslav Fabian

The effect of the electron-phonon interaction on magnetization relaxation is studied within the framework of first-principles scattering theory for Fe, Co, and Ni by displacing atoms in the scattering region randomly with a thermal…

Materials Science · Physics 2011-09-06 Yi Liu , Anton A. Starikov , Zhe Yuan , Paul J. Kelly