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

International Symposium on Mesoscopic Superconductivity and Spintronics (MS+S)

QUANTUM CLASSICAL CROSSOVER WITH SUPERCONDUCTING RING

Hirotaka Tanaka, Shiro Saito, Hideaki Takayanagi

Published Mar 1, 2003• 2 citations
Publisher
DOI
10.1142/9789812705556_0061

Related papers

Quantum behaviour of superconducting rings

Timothy P. Spiller, Terrence D. Clark

Nature•May 1, 1986•2 citations

NON-LINEAR DYNAMICS, ENTANGLEMENT AND THE QUANTUM-CLASSICAL CROSSOVER OF TWO COUPLED SQUID RINGS

M. J. Everitt

We explore the quantum-classical crossover of two coupled, identical, superconducting quantum interference device (SQUID) rings. We note that the motivation for this work is based on a study of a similar system comprising two coupled Duffing oscillators. In that work we showed that the entanglement characteristics of chaotic and periodic (entrained) solutions differed significantly and that in the classical limit entanglement was preserved only in the chaotic-like solutions. However, Duffing oscillators are a highly idealised toy model. Motivated by a wish to explore more experimentally realisable systems we now extend our work to an analysis of two coupled SQUID rings. We observe some differences in behaviour between the system that is based on SQUID rings rather than on Duffing oscillators. However, we show that the two systems share a common feature. That is, even when the SQUID ring's trajectories appear to follow (semi) classical orbits entanglement persists.

arXiv:0909.4488•International Journal of Modern Physics B•Aug 20, 2009•0 citations

NON-LINEAR DYNAMICS, ENTANGLEMENT AND THE QUANTUM-CLASSICAL CROSSOVER OF TWO COUPLED SQUID RINGS

M. J. Everitt

•Dec 1, 2009•0 citations

Quantum computation with superconducting rings

C. J. P. M. Harmans, Johan E. Mooij

•Jan 1, 2002•0 citations

Theory of Quantum-Classical Crossover

Artur Mendes Kur

•Jan 1, 2026•0 citations

MACROSCOPIC QUANTUM TUNNELING IN A SUPERCONDUCTING RING CONTAINING A WEAK SUPERCONDUCTING JUNCTION

Antonio Luis Extremera

Macroscopic quantum effects in SQUIDs are discussed. An equation describing the behavior of the superconducting ring in the harmonic approximation is reduced to the standard form of Mathieu’s equation. For well-defined flux states, good agreement with exact theoretical calculations and experimental results is found near the minimum energy regions. We establish the effective dissipation dependence on tunneling rate via the “instanton” or “bounce” action. WKB-type approximations enable us to obtain the quantum decay rate for a metastable state in the anharmonic (quartic) potential.

Modern Physics Letters B•Oct 20, 1992•0 citations
We explore the quantum-classical crossover of two coupled, identical, superconducting quantum interference device (SQUID) rings. We note that the motivation for this work is based on a study of a similar system comprising two coupled Duffing oscillators. In that work we showed that the entanglement characteristics of chaotic and periodic (entrained) solutions differed significantly and that in the classical limit entanglement was preserved only in the chaotic-like solutions. However, Duffing oscillators are a highly idealised toy model. Motivated by a wish to explore more experimentally realisable systems we now extend our work to an analysis of two coupled SQUID rings. We observe some differences in behaviour between the system that is based on SQUID rings rather than on Duffing oscillators. However, we show that the two systems share a common feature. That is, even when the SQUID ring's trajectories appear to follow (semi) classical orbits entanglement persists.
Macroscopic quantum effects in SQUIDs are discussed. An equation describing the behavior of the superconducting ring in the harmonic approximation is reduced to the standard form of Mathieu’s equation. For well-defined flux states, good agreement with exact theoretical calculations and experimental results is found near the minimum energy regions. We establish the effective dissipation dependence on tunneling rate via the “instanton” or “bounce” action. WKB-type approximations enable us to obtain the quantum decay rate for a metastable state in the anharmonic (quartic) potential.