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Updated: Jun 14, 2026
05:39
Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
Published on: August 2, 2019
Parameter scaling in the decoherent quantum-classical transition for chaotic rf superconducting quantum interference
1National Laboratory of Solid State Microstructures, Department of Physics, Nanjing University, Nanjing, China.
Summary
Chaos emerges in superconducting quantum interference device (SQUID) systems due to environmental coupling. The study reveals a universal scaling relationship between chaos and quantum-classical transition, offering insights into quantum system dynamics.
Area of Science:
- Quantum physics
- Chaos theory
- Condensed matter physics
Background:
- Superconducting quantum interference devices (SQUIDs) are sensitive quantum systems.
- Understanding the quantum-classical transition is crucial for quantum technologies.
- Dissipative environments can influence quantum system behavior.
Purpose of the Study:
- To numerically investigate the quantum-classical transition in SQUID systems coupled to a dissipative environment.
- To analyze the emergence and degree of chaos as a function of coupling strength.
- To identify a universal scaling law for the quantum-classical transition.
Main Methods:
- Numerical simulations of SQUID systems.
- Calculation of the maximal Lyapunov exponent (lambda(m)) to quantify chaos.
- Analysis of the uncertainty in dynamics to measure quantum-classical proximity.
- Investigation of scaling behavior with varying coupling strength (D).
Main Results:
- Chaos emerges in SQUID systems with increasing coupling strength.
- The maximal Lyapunov exponent (lambda(m)) shows nonmonotonic behavior with coupling strength D.
- System uncertainty is a monotonic function of lambda(m)/D, indicating a clear measure of quantum-classical proximity.
- A universal scaling law is observed in SQUID systems, even at smaller values of Planck's constant variants.
Conclusions:
- Dissipative environments drive SQUID systems across the quantum-classical transition.
- The ratio lambda(m)/D serves as a robust indicator of quantum-classical dynamics.
- The observed universal scaling suggests broader applicability in quantum chaos research.
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