Sub-ballistic behavior in quantum systems with Lévy noise

Abstract

We investigate the quantum walk and the quantum kicked rotor in resonance subjected to noise with a Lévy waiting time distribution. We find that both systems have a sub-ballistic wave function spreading as shown by a power-law tail of the standard deviation.

4 pages, 4 figures

References in corpus (2)

• Nonexponential decoherence and momentum subdiffusion in a quantum Lévy kicked rotator
• Sub-ballistic behaviour of the Quantum Kicked Rotor

Cited by in corpus (3)

• Controlled decoherence in a quantum Lévy kicked rotator
• Measurements in the Lévy quantum walk
• Fractional dynamics in the Lévy quantum kicked rotor