Sub-ballistic behavior in quantum systems with Lévy noise
arXiv:0705.0370 · doi:10.1103/PhysRevE.76.037202
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 (11)
- Quantum random walks - an introductory overview
- Quantum random walks in optical lattices
- Experimental Implementation of the Quantum Random-Walk Algorithm
- Quantum quincunx in cavity quantum electrodynamics
- Aperiodic Quantum Random Walks
- Quantum random walk on the line as a markovian process
- Observation of high-order quantum resonances in the kicked rotor
- Generalized Quantum Walk in Momentum Space
- Nonexponential decoherence and momentum subdiffusion in a quantum Lévy kicked rotator
- Sub-ballistic behaviour of the Quantum Kicked Rotor
- Regular and Anomalous Quantum Diffusion in the Fibonacci Kicked Rotator
Cited by in corpus (16)
- Evidence for a Quantum-to-Classical Transition in a Pair of Coupled Quantum Rotors
- Driving quantum walk spreading with the coin operator
- Non-exponential decoherence and subdiffusion in atom-optics kicked rotor
- The Fibonacci quantum walk and its cassical trace map
- Controlled decoherence in a quantum Lévy kicked rotator
- Measurements in the Lévy quantum walk
- Quantum walks: decoherence and coin-flipping games
- Quantum Walk with Jumps
- Unusual scaling in a discrete quantum walk with random long range steps
- Negative correlations can play a positive role in disordered quantum walks
- Resonant quantum kicked rotor with two internal levels
- Fractional dynamics in the Lévy quantum kicked rotor
- Superdiffusivity of quantum walks: A Feynman sum-over-paths description
- Anomalous diffusion in the resonant quantum kicked rotor
- Discrete-time quantum walks generated by aperiodic fractal sequence of space coin operators
- Driving the resonant quantum kicked rotor via extended initial conditions