Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Quantum Transitions and Semiquantum Chaos in an SU(2) Non-linear Dynamics

Claudia M. Sarris, R. O. Hansen, Angelo Plastino

Published Dec 23, 2020• 0 citations
Publisher
DOI
10.29195/iascs.03.01.0022

Related papers

Nonlinear dynamics of a semiquantum Hamiltonian in the vicinity of quantum unstable regimes

A.M. Kowalski, R. Rossignoli

arXiv:1802.10251•Chaos Solitons & Fractals•Feb 27, 2018•8 citations

Is semiquantum chaos real?

L. E. Ballentine

A semiquantum system, composed of a quantum part coupled to a classical part, can exhibit dynamical chaos in the motion of the quantum state vector. However, there has been disagreement as to whether this mathematical chaos is physically real or merely an artifact of the semiquantum approximation. It is shown, for a model of a quantum spin coupled to an approximately classical nonlinear oscillator, that the semiquantum chaos disappears rapidly as the mass of the oscillator is increased to make it more classical. The time interval during which the semiquantum approximation remains accurate increases with the mass, but is not closely related to the Lyapunov time.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics•Apr 16, 2001•18 citations

Semiclassical Dynamics of SU (2) Models

Adrian Alscher, Hermann Grabert

Springer eBooks•Jan 1, 2001•0 citations

On Quantum Field Brownian Motion, Decoherence and Semiquantum Chaos

Hans-Thomas Elze

Entropy production in quantum (field) systems requiring environment-induced decoherence is described in a Gaussian variational approximation. The new phenomenon of Semiquantum Chaos is reported. (Presented at the International Conference on Nonlinear Dynamics, Chaotic and Complex Systems, Zakopane (Poland), 7-12.11.95.)

arXiv:quant-ph/9511043•Nov 30, 1995•0 citations

The dynamical aspects of quantum chaos

Sankhasubhra Nag

•Jan 1, 2007•0 citations

Uncertainty Principle and Bifurcations in the SU(2) Nonlinear Semiquantum Dynamics

R. O. Hansen, Claudia M. Sarris, Angelo Plastino

In this paper, a nonlinear semiquantum Hamiltonian associated to the special unitary group SU(2) Lie algebra is studied so as to analyze its dynamics. The treatment here applied allows for a reduction in: 1) the system’s dimension, as well as 2) the number of system’s parameters (to only three). We can now discern clear patterns in: 1) the complete characterization of the system’s fixed points and 2) their stability. It is shown that the parameter associated to the uncertainty principle, which constitutes a very strong constraint, is the key one in determining the presence of fixed points and bifurcation curves in the parameter’s space.

Applied Mathematics•Jan 1, 2018•0 citations
A semiquantum system, composed of a quantum part coupled to a classical part, can exhibit dynamical chaos in the motion of the quantum state vector. However, there has been disagreement as to whether this mathematical chaos is physically real or merely an artifact of the semiquantum approximation. It is shown, for a model of a quantum spin coupled to an approximately classical nonlinear oscillator, that the semiquantum chaos disappears rapidly as the mass of the oscillator is increased to make it more classical. The time interval during which the semiquantum approximation remains accurate increases with the mass, but is not closely related to the Lyapunov time.
In this paper, a nonlinear semiquantum Hamiltonian associated to the special unitary group SU(2) Lie algebra is studied so as to analyze its dynamics. The treatment here applied allows for a reduction in: 1) the system’s dimension, as well as 2) the number of system’s parameters (to only three). We can now discern clear patterns in: 1) the complete characterization of the system’s fixed points and 2) their stability. It is shown that the parameter associated to the uncertainty principle, which constitutes a very strong constraint, is the key one in determining the presence of fixed points and bifurcation curves in the parameter’s space.