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Study of the double kicked top: A classical and quantum perspective
Avadhut V Purohit1, Udaysinh T Bhosale1
1Visvesvaraya National Institute of Technology, Department of Physics, Nagpur 440010, India.
Physical Review. E
|August 19, 2025
Summary
The double kicked top (DKT) model extends the quantum kicked top (QKT) to explore transitions in time-reversal symmetry. It reveals how transformed parameters influence chaos and entanglement dynamics, offering experimental realization possibilities.
Area of Science:
- Quantum chaos
- Quantum information theory
- Statistical mechanics
Background:
- The standard quantum kicked top (QKT) model is a fundamental system for studying quantum chaos.
- Understanding transitions between time-reversal symmetric and broken dynamics is crucial in quantum systems.
Purpose of the Study:
- To introduce and analyze the double kicked top (DKT) model as an extension of the QKT.
- To investigate the transition from time-reversal symmetric to broken time-reversal symmetric dynamics.
- To explore quantum correlations and entanglement dynamics within the DKT model.
Main Methods:
- Analytical and computational analysis of fixed points and their stability.
- Utilizing the largest Lyapunov exponent and Kolmogorov-Sinai entropy.
- Deriving exact solutions for 2- to 4-qubit DKT, including eigenvalues, eigenvectors, and entanglement dynamics.
Main Results:
- A transformation of kick strength parameters (k,k′)→(kr,kθ) reveals distinct chaos growth rates.
- Exact solutions and criteria for periodic entanglement dynamics were obtained for multi-qubit DKT.
- Numerical evidence of phase-space structure in quantum correlations and investigation of homoclinic points.
Conclusions:
- The DKT model provides a versatile platform for studying quantum chaos and symmetry transitions.
- The model offers insights into entanglement dynamics and quantum correlations in different regimes.
- The proposed DKT model is experimentally feasible as an extension of the standard QKT.
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