Measurements in the Lévy quantum walk

Abstract

We study the quantum walk subjected to measurements with a Lévy waiting-time distribution. We find that the system has a sub-ballistic behavior instead of a diffusive one. We obtain an analytical expression for the exponent of the power law of the variance as a function of the characteristic parameter of the Lévy distribution.

4 pages, 2 figures

References in corpus (3)

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

Cited by in corpus (1)

• Fractional dynamics in the Lévy quantum kicked rotor