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

Physics Letters A

Chaos in a coupled quantum-classical system

Jason F. Ralph, Timothy P. Spiller, Terrence D. Clark, Robert J. Prance, Helen Prance

Published Aug 1, 1993• 5 citations
Publisher
DOI
10.1016/0375-9601(93)90494-k

Related papers

Dynamics of Coupled Quantum–Classical Oscillators

He Wei-Zhong, Xu Liu-Su, Zou Feng-wu

The dynamics of systems consisting of coupled quantum–classical oscillators is numerically investigated. It is shown that, under certain conditions, the quantum oscillator exhibits chaos. When the mass of the classical oscillator increases, the chaos will be suppressed; if the energy of the system and/or the coupling strength between the two oscillators increases, chaotic behaviour of the system appears. This result will be helpful to understand the probability of the emergence of quantum chaos and may be applied to explain the spectra of complex atoms qualitatively.

Chinese Physics Letters•Jul 30, 2004•1 citation

Dynamical Chaos In Quantum Systems

A. G. Lazerson, Alexey Alexeevich Boikov

Izvestiya of Saratov University Physics•Jan 1, 2010•0 citations

Quantum Chaos in Open Systems

Thomas Dittrich, Robert Graham

NATO ASI series. Series B : Physics•Jan 1, 1991•4 citations

Quantum-Classical Correspondence in Many-Dimensional Quantum Chaos

Satoshi Adachi, Mikito Toda, Kensuke S. Ikeda

Quantum-classical correspondence in many-dimensional quantum chaos is investigated by use of a coupled quantum kicked-rotors model. Even when the number of rotors is only two, results obtained are drastically different from those for a single-rotor system; that is, in the semiclassical limit the coupled system restores the essential features of classical chaos under appropriate conditions. In particular, the time-reversal experiment reveals that the classical chaotic mixing is recovered almost entirely; however, the recovered mixing is "conditional" in the sense that there exists a threshold for the recovery.

Physical Review Letters•Aug 8, 1988•82 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

Chaotic Behavior in Quantum Systems

Casati, Giulio

NATO ASI series. Series B : Physics•Jan 1, 1985•209 citations
The dynamics of systems consisting of coupled quantum–classical oscillators is numerically investigated. It is shown that, under certain conditions, the quantum oscillator exhibits chaos. When the mass of the classical oscillator increases, the chaos will be suppressed; if the energy of the system and/or the coupling strength between the two oscillators increases, chaotic behaviour of the system appears. This result will be helpful to understand the probability of the emergence of quantum chaos and may be applied to explain the spectra of complex atoms qualitatively.
Quantum-classical correspondence in many-dimensional quantum chaos is investigated by use of a coupled quantum kicked-rotors model. Even when the number of rotors is only two, results obtained are drastically different from those for a single-rotor system; that is, in the semiclassical limit the coupled system restores the essential features of classical chaos under appropriate conditions. In particular, the time-reversal experiment reveals that the classical chaotic mixing is recovered almost entirely; however, the recovered mixing is "conditional" in the sense that there exists a threshold for the recovery.
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.