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Updated: Apr 19, 2026
11:33
All-electronic Nanosecond-resolved Scanning Tunneling Microscopy: Facilitating the Investigation of Single Dopant Charge Dynamics
Published on: January 19, 2018
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Resonance assisted tunneling in Floquet spin-J systems
Jesús A Segura-Landa1, Diego A Wisniacki2, Sergio Lerma-Hernández3
1Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Apdo. Postal 70-543, C.P. 04510 Cd. Mx., Mexico.
Physical Review. E
|April 18, 2026
Summary
Resonance-Assisted Tunneling (RAT) theory accurately predicts quantum system behavior in certain regimes. Researchers identified limits for RAT validity and analyzed its scaling in the semiclassical limit.
Area of Science:
- Quantum mechanics
- Statistical physics
- Chaos theory
Background:
- Resonance-Assisted Tunneling (RAT) theory provides a framework for understanding quantum systems.
- Many-body quantum kicked systems exhibit complex dynamics with a semiclassical limit.
Purpose of the Study:
- To apply Resonance-Assisted Tunneling (RAT) theory to a many-body quantum kicked system.
- To identify quantum eigenstates linked to classical resonances and compute their quasienergy splitting.
- To determine the limits of RAT validity and analyze its scaling.
Main Methods:
- Utilizing a quantum resonant condition to identify relevant eigenstates.
- Computing quasienergy splitting using semiclassical approximations.
- Quantifying perturbation strength to establish RAT theory's upper bound.
Main Results:
- Two distinct regimes of RAT predictions were identified.
- Excellent agreement between RAT predictions and exact quantum results was observed in the first regime.
- In the second regime, splitting matched that of a harmonic oscillator, influenced by classical resonance oscillation.
Conclusions:
- RAT theory offers accurate predictions for specific quantum system behaviors.
- The study quantifies the perturbation strength threshold beyond which RAT theory deviates.
- Analytical expressions were derived to estimate the scaling and upper bound of RAT validity in the semiclassical limit.
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