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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

The spin coherent state path integral describing the dynamics of a spin-1/2-system in a magnetic field of arbitrary time-dependence is considered. Defining the path integral as the limit of a Wiener regularized expression, the semiclassical…

Quantum Physics · Physics 2008-11-26 Adrian Alscher , Hermann Grabert

We consider the quantum kinetic-theory description for interacting massive spin-half fermions using the Wigner function formalism. We derive a general kinetic theory description assuming that the spin effects appear at the classical and…

High Energy Physics - Theory · Physics 2023-09-11 Arpan Das , Wojciech Florkowski , Avdhesh Kumar , Radoslaw Ryblewski , Rajeev Singh

We study a chaotic quantum transport in the presence of a weak spin-orbit interaction. Our theory covers the whole symmetry crossover regime between time-reversal invariant systems with and without a spin-orbit interaction. This situation…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Keiji Saito , Taro Nagao

This article discusses spin transport in systems with spin-orbit interactions and how it can be understood in a semiclassical picture. I will first present a semiclassical wave-packet description of spin transport, which explains how the…

Mesoscale and Nanoscale Physics · Physics 2009-04-15 Dimitrie Culcer

While plenty of results have been obtained for single-particle quantum systems with chaotic dynamics through a semiclassical theory, much less is known about quantum chaos in the many-body setting. We contribute to recent efforts to make a…

Chaotic Dynamics · Physics 2018-02-07 Maram Akila , Boris Gutkin , Peter Braun , Daniel Waltner , Thomas Guhr

We develop a semiclassical theory of superconducting quasiparticles for proximity-induced superconducting systems, where spin-orbit coupling plays a critical role in shaping the quasiparticle dynamics. We reveal the structure of…

Superconductivity · Physics 2026-01-01 Zhen-Cheng Liao , Cong Xiao , Zhi Wang , Qian Niu

We studied the edge states and transverse electron focusing in the presence of spin-orbit interaction in a two dimensional electron gas. Assuming strong spin-orbit coupling we derived semiclassical quantization conditions to describe the…

Mesoscale and Nanoscale Physics · Physics 2016-01-20 Andor Kormanyos

We study how the singular behaviour of classical systems at bifurcations is reflected by their quantum counterpart. The semiclassical contributions of individual periodic orbits to trace formulae of Gutzwiller type are known to diverge when…

chao-dyn · Physics 2007-05-23 Christopher Manderfeld , Henning Schomerus

A semiclassical theory of a quantum spin$-S$ model with competing ring and Heisenberg exchange terms on the triangular lattice is obtained. A mechanism for the generation of $Z_2$ vortices is exhibited. The vortices are shown to carry a…

Strongly Correlated Electrons · Physics 2007-05-23 Amulya V Madhav

The quasiclassical theory of superconductivity provides a methodology to study emergent phenomena in hybrid structures comprised of superconductors interfaced with other materials. A key component in this theory is the boundary condition…

Superconductivity · Physics 2022-11-09 Jacob Linder , Morten Amundsen

We study electron spin decoherence in a two-electron double quantum dot due to the hyperfine interaction, under spin-echo conditions as studied in recent experiments. We develop a semi-classical model for the interaction between the…

Mesoscale and Nanoscale Physics · Physics 2011-09-07 Izhar Neder , Mark S. Rudner , Hendrik Bluhm , Sandra Foletti , Bertrand I. Halperin , Amir Yacoby

We study detailed classical-quantum correspondence for a cluster system of three spins with single-axis anisotropic exchange coupling. With autoregressive spectral estimation, we find oscillating terms in the quantum density of states…

Condensed Matter · Physics 2007-05-23 P. A. Houle , N. G. Zhang , C. L. Henley

A physically transparent and mathematically simple semiclassical model is employed to examine dynamics in the central-spin problem. The results reproduce a number of previous findings obtained by various quantum approaches and, at the same…

Mesoscale and Nanoscale Physics · Physics 2015-03-31 Tomasz Dietl

We analyze the dynamical generation of entanglement in systems of two interacting spins initially prepared in a product of spin coherent states. For arbitrary time-independent Hamiltonians, we derive a semiclassical expression for the…

Quantum Physics · Physics 2012-05-29 A. D. Ribeiro , R. M. Angelo

Gutzwiller's trace formula has a central place in quantum chaos because it provides semiclassical approximations for quantum energy levels in classically chaotic systems by linking them to classical periodic orbits. In this didactic…

Quantum Physics · Physics 2026-05-20 Sebastian Müller , Martin Sieber

The Gutzwiller semiclassical trace formula links the eigenvalues of the Scrodinger operator ^H with the closed orbits of the corresponding classical mechanical system, associated with the Hamiltonian H, when the Planck constant is small…

Mathematical Physics · Physics 2009-10-31 M. Combescure , J. Ralston , D. Robert

We use an integral quantization model based on the Heisenberg-Weyl group to describe the motion of a spinless particle in the Minkowski background spacetime. This work is a sequel to a previous paper, devoted to mathematical aspects of our…

General Relativity and Quantum Cosmology · Physics 2025-09-23 Adam Cieślik , Andrzej Góźdź , Patryk Mach , Aleksandra Pȩdrak , Włodzimierz Piechocki

We consider a two-dimensional system of harmonically trapped particles with pseudo-spin-$\frac{1}{2}$ degree of freedom. This degree of freedom is coupled to the particle's momentum via the so-called Rashba spin-orbit interaction. We…

We present a semiclassical description of the level density of a two-dimensional circular quantum dot in a homogeneous magnetic field. We model the total potential (including electron-electron interaction) of the dot containing many…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 J. Blaschke , M. Brack