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We consider the semiclassical theory in a joint phase space of spin and orbital degrees of freedom. The method is developed from the path integrals using the spin-coherent-state representation, and yields the trace formula for the density…

Chaotic Dynamics · Physics 2009-11-10 Mikhail Pletyukhov , Oleg Zaitsev

We formulate a semiclassical theory for systems with spin-orbit interactions. Using spin coherent states, we start from the path integral in an extended phase space, formulate the classical dynamics of the coupled orbital and spin degrees…

Chaotic Dynamics · Physics 2009-02-20 M. Pletyukhov , Ch. Amann , M. Mehta , M. Brack

We discuss the semiclassical approaches for describing systems with spin-orbit interactions by Littlejohn and Flynn (1991, 1992), Frisk and Guhr (1993), and by Bolte and Keppeler (1998, 1999). We use these methods to derive trace formulae…

Chaotic Dynamics · Physics 2008-11-26 Ch. Amann , M. Brack

We reply to a Comment on our recently proposed semiclassical theory for systems with spin-orbit interactions.

Chaotic Dynamics · Physics 2007-05-23 M. Pletyukhov , Ch. Amann , M. Mehta , M. Brack

We point out that a certain kind of combined classical translational and spin dynamics -- claimed in [M. Pletyukhov, et al. Phys. Rev. Lett. 89 (2002) 116601] to arise from the Pauli equation in the semiclassical limit $\hbar\to0$ for fixed…

Chaotic Dynamics · Physics 2007-05-23 Jens Bolte , Rainer Glaser , Stefan Keppeler

We use a continuous-time path integral to obtain the semiclassical propagator for minimal-spread spin coherent states. We pay particular attention to the ``extra phase'' discovered by Solari and Kochetov, and show that this correction is…

Condensed Matter · Physics 2009-10-31 Michael Stone , Kee-Su Park , Anupam Garg

We study the properties of the two-point spectral form factor for classically chaotic systems with spin 1/2 in the semiclassical limit, with a suitable semiclassical trace formula as our principal tool. To this end we introduce a…

chao-dyn · Physics 2009-10-31 Jens Bolte , Stefan Keppeler

We develop time-splitting finite difference methods, using implicit Backward-Euler and semi-implicit Crank-Nicolson discretization schemes, to study the spin-orbit coupled spinor Bose Einstein condensates with coherent coupling in quasi-one…

Quantum Gases · Physics 2023-01-10 Paramjeet Banger , Pardeep Kaur , Sandeep Gautam

The semiclassical propagation of spin coherent states is considered in complex phase space. For two time-independent systems we find the appropriate classical trajectories and show that their combined contributions are able to describe…

Quantum Physics · Physics 2007-12-04 M. Novaes

We derive the semiclassical limit of the coherent state propagator for systems with two degrees of freedom of which one degree of freedom is canonical and the other a spin. Systems in this category include those involving spin-orbit…

Quantum Physics · Physics 2009-11-11 A. D. Ribeiro , M. A. M. de Aguiar , A. F. R. de Toledo Piza

By revisiting the path-integral formulation of the Hubbard model, we propose a theoretical approach based on a semiclassical approximation employing an unconventional coherent-state representation. Within this framework, a subset of the…

Strongly Correlated Electrons · Physics 2026-04-06 Yuki Yamasaki , Hidemaro Suwa , Cristian D. Batista , Shintaro Hoshino

We develop a semiclassical theory for spin-dependent quantum transport in ballistic quantum dots. The theory is based on the semiclassical Landauer formula, that we generalize to include spin-orbit and Zeeman interaction. Within this…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Oleg Zaitsev , Diego Frustaglia , Klaus Richter

The semiclassical path integral method has been applied for studying spin relaxation in a narrow 2D strip with the Rashba spin-orbit interaction. Our numerical calculations show a good agreement with the experimental data, although some…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Cheng-Hung Chang , Jengjan Tsai , Hui-Fen Lo , A. G. Mal'shukov

We study semiclassical approximations to the time evolution of coherent states for general spin-orbit coupling problems in two different semiclassical scenarios: The limit \hbar to zero is first taken with fixed spin quantum number s and…

Mathematical Physics · Physics 2009-11-10 Jens Bolte , Rainer Glaser

A spin-charge recombination route to superconductivity, proposed earlier (1992)], is examined using the Schwinger boson representation of the t-J model. The representation is known to work well at half-filling. It was shown in the earlier…

Condensed Matter · Physics 2007-05-23 Sanjoy K. Sarker

We present a practical semiclassical method for computing the electron spin dynamics of a radical in which the electron spin is hyperfine coupled to a large number of nuclear spins. This can be used to calculate the singlet and triplet…

Chemical Physics · Physics 2014-07-09 David E. Manolopoulos , P. J. Hore

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

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

Motivated by recent interest in novel spintronics effects, we develop a semiclassical theory of spin transport that is valid for spin-orbit coupled bands. Aside from the obvious convective term in which the average spin is transported at…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Dimitrie Culcer , Jairo Sinova , N. A. Sinitsyn , T. Jungwirth , A. H. MacDonald , Q. Niu

Stochastic hybrid systems involve a coupling between a discrete Markov chain and a continuous stochastic process. If the latter evolves deterministically between jumps in the discrete state, then the system reduces to a piecewise…

Statistical Mechanics · Physics 2021-05-26 Paul C. Bressloff
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