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Propagation of the Wigner function is studied on two levels of semiclassical propagation, one based on the van-Vleck propagator, the other on phase-space path integration. Leading quantum corrections to the classical Liouville propagator…

Quantum Physics · Physics 2007-05-23 Thomas Dittrich , Luis Sandoval , Carlos Viviescas

We do a semiclassical analysis for two or three spins which are coupled antiferromagnetically to each other. The semiclassical wave functions transform correctly under permutations of the spins if one takes into account the Wess-Zumino term…

High Energy Physics - Theory · Physics 2010-11-01 Diptiman Sen

A semiclassical quantization condition is derived for Landau levels in general spin-orbit coupled systems. This generalizes the Onsager quantization condition via a matrix-valued phase which describes spin dynamics along the classical…

Mesoscale and Nanoscale Physics · Physics 2016-07-06 Tommy Li , Baruch Horovitz , Oleg P. Sushkov

A semiclassical formula for the coherent-state propagator requires the determination of specific classical paths inhabiting a complex phase-space through a Hamiltonian flux. Such trajectories are constrained to special boundary conditions…

Quantum Physics · Physics 2017-02-01 A. L. Xavier

We study descendants of inhomogeneous vertex models with boundary reflections when the spin-spin scattering is assumed to be quasi--classical. This corresponds to consider certain power expansion of the boundary-Yang-Baxter equation (or…

Statistical Mechanics · Physics 2007-05-23 Antonio Di Lorenzo , Luigi Amico , Kazuhiro Hikami , Andreas Osterloh , Gaetano Giaquinta

In this paper, we develop the formulation of the spin coherent state in real parameterization up to SU(5). The path integral in this representation of coherent state and its classical consequence are investigated. Using the resolution of…

Mathematical Physics · Physics 2011-04-01 Khikmat Kh. Muminov , Yousef Yousefi

We study a system of $N$ fermions in the regime where the intensity of the interaction scales as $1/N$ and with an effective semi-classical parameter $\hbar=N^{-1/d}$ where $d$ is the space dimension. For a large class of interaction…

Mathematical Physics · Physics 2019-05-20 Jan Philip Solovej , S{ø}ren Fournais , Mathieu Lewin

A collective spin model is used to describe two species of mutually interacting ultracold bosonic atoms confined to a toroidal trap. The system is modeled by a Hamiltonian that can be split into two components, a linear part and a quadratic…

Quantum Gases · Physics 2024-06-05 Allison Brattley , Tomáš Opatrný , Kunal K. Das

Two different systems of the generalized coherent states for the de Sitter group are constructed. These systems have the physical sense of particles and antiparticles over de Sitter space and obeys the Klein-Gordon equation. Using these…

High Energy Physics - Theory · Physics 2007-05-23 Semyon Pol'shin

The emergence of a collective behavior in a many-body system is responsible of the quantum criticality separating different phases of matter. Interacting spin systems in a magnetic field offer a tantalizing opportunity to test different…

Quantum Physics · Physics 2023-02-17 Michele Grossi , Oriel Kiss , Francesco De Luca , Carlo Zollo , Ian Gremese , Antonio Mandarino

We study the interaction of a scalar and a spinning particle with a coherent linearized gravitational wave field treated as a classical spin two external field. The spin degrees of freedom of the spinning particle are described by…

High Energy Physics - Theory · Physics 2008-11-26 A. Barducci , R. Giachetti

A nonlinear dynamics semi-classical model is used to show that standard quantum spin analysis can be obtained. The model includes a classically driven nonlinear differential equation with dissipation and a semi-classical interpretation of…

Quantum Physics · Physics 2018-11-08 Joshua J. Heiner , David R. Thayer

We summarize semiclassical modeling methods, including drift-diffusion, kinetic transport equation and Monte Carlo simulation approaches, utilized in studies of spin dynamics and transport in semiconductor structures. As a review of the…

Mesoscale and Nanoscale Physics · Physics 2010-10-12 S. Saikin , Yu. V. Pershin , V. Privman

We derive the coherent state representation of the integrable spin chain Hamiltonian with symmetry group SL(2,R). By passing to the continuum limit, we find a spin chain sigma model describing a string moving on the hyperboloid…

High Energy Physics - Theory · Physics 2010-04-05 S. Bellucci , P. -Y. Casteill , J. F. Morales , C. Sochichiu

Resonance states in quantum chaotic scattering systems have a multifractal structure that depends on their decay rate. We show how classical dynamics describes this structure for all decay rates in the semiclassical limit. This result for…

Chaotic Dynamics · Physics 2025-01-20 Roland Ketzmerick , Florian Lorenz , Jan Robert Schmidt

We present a semiclassical trace formula for the canonical partition function of arbitrary one-dimensional systems. The approximation is obtained via the stationary exponent method applied to the phase-space integration of the density…

Quantum Physics · Physics 2007-05-23 Fernando Parisio , M. A. M. de Aguiar

We investigate a quantum nonrelativistic system describing the interaction of two particles with spin 1/2 and spin 0, respectively. We assume that the Hamiltonian is rotationally invariant and parity conserving and identify all such systems…

Mathematical Physics · Physics 2015-06-11 Jean-Francois Desilets , Pavel Winternitz , Ismet Yurdusen

A semiclassical analysis based on spin-coherent states is used to establish a classification and formulae for the spectral gap of mean-field spin Hamiltonians. For gapped systems we provide a full description of the low-energy spectra based…

Mathematical Physics · Physics 2023-12-07 Chokri Manai , Simone Warzel

We study spin-polarized quasiparticle transport in a mesoscopic superconductor with a spin- splitting field in the presence of co-flowing supercurrent. In such a system, the nonequilibrium state is characterized by charge, spin, energy and…

Superconductivity · Physics 2018-08-01 Faluke Aikebaier , Mihail A. Silaev , T. T. Heikkilä

Classical nonlinear theories are highly successful in describing far-from-equilibrium dynamics of magnets, encompassing phenomena such as parametric resonance, ultrafast switching, and even chaos. However, at ultrashort length and time…

Mesoscale and Nanoscale Physics · Physics 2025-12-15 Lukas Körber , Pim Coenders , Johan H. Mentink
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