Related Experiment Videos
Manifestation of Arnol'd diffusion in quantum systems
V Ya Demikhovskii1, F M Izrailev, A I Malyshev
1Nizhny Novgorod State University, Gagarin Avenue, 23, 603600, Nizhny Novgorod, Russia.
Physical Review Letters
|April 17, 2002
Summary
Quantum dynamics of wave packets mimic classical Arnol'd diffusion in coupled nonlinear oscillators. This novel quantum diffusion, observed in systems like quantum billiards, reveals new dynamics under periodic fields.
Area of Science:
- Quantum mechanics
- Nonlinear dynamics
- Condensed matter physics
Background:
- Classical Arnol'd diffusion describes energy increase in coupled oscillators.
- This phenomenon occurs in a narrow stochastic layer along resonance.
- Understanding quantum analogs is crucial for complex systems.
Purpose of the Study:
- To investigate a quantum analog of classical Arnol'd diffusion.
- To explore the dynamics of coupled nonlinear oscillators under periodic forcing.
- To identify potential experimental observations of this quantum diffusion.
Main Methods:
- Studied a quantum system of two coupled nonlinear oscillators.
- Applied an external periodic force with two frequencies to one oscillator.
- Analyzed the quantum dynamics of wave packets.
Main Results:
- Quantum wave packet dynamics partially mimic classical Arnol'd diffusion.
- Observed a new type of quantum dynamics analogous to classical diffusion.
- Diffusion leads to an increase in the system's total energy.
Conclusions:
- Quantum Arnol'd diffusion is a distinct form of quantum dynamics.
- This phenomenon can be observed in 2D semiconductor structures (quantum billiards).
- Perturbation by time-periodic fields is key for experimental realization.