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Sub-ballistic behavior in quantum systems with Lévy noise
A Romanelli1, R Siri, V Micenmacher
1Instituto de Física, Facultad de Ingeniería, Universidad de la República, Casilla de Correo 30, Código Postal 11000, Montevideo, Uruguay. alejo@fing.edu.uy
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 13, 2007
Summary
We studied quantum systems with Lévy noise, finding sub-ballistic wave function spreading. This reveals unique quantum dynamics under specific noise conditions.
Area of Science:
- Quantum physics
- Statistical mechanics
Background:
- Quantum dynamics are often studied under idealized conditions.
- Noise can significantly alter quantum system behavior.
Purpose of the Study:
- To investigate the effects of Lévy noise on quantum walks and kicked rotors.
- To characterize the wave function spreading in these resonant systems.
Main Methods:
- Theoretical analysis of quantum systems.
- Modeling noise with a Lévy waiting time distribution.
- Examining wave function spreading dynamics.
Main Results:
- Both quantum walks and kicked rotors exhibit sub-ballistic spreading.
- This spreading follows a power-law tail in the standard deviation.
- Lévy noise introduces distinct dynamical behaviors.
Conclusions:
- The study demonstrates sub-ballistic wave function spreading in resonant quantum systems subjected to Lévy noise.
- This finding highlights the significant impact of non-standard noise distributions on quantum dynamics.
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