Quantum superballistic diffusion in presence of white noise

Abstract

As an unusual type of anomalous diffusion behavior, (transient) superballistic transport is not well understood but it has been experimentally observed recently. We here calculate the white noise effect (in Markov approximation) on the quantum diffusion in 1D tight-binding model with disordered and quasi-periodic region of size L attached to perfect lattices at both ends. Here we show the effect of white noise on spreading of the wave packet initially located at the center of the sublattice. We find threshold values of the white noise strength, beyond which the quantum hyperdiffusion does not occur. We predict from our numerical studies that the quantum hyperdiffusion exponent can be tuned by the strength of applied white noise. Therefore we can manually apply noise to a system to drive it to desired diffusion rate.

4 pages,4 figures

References in corpus (6)

• Quantum walks of correlated particles
• Non-Markovian generalization of the Lindblad theory of open quantum systems
• Non-Markovian entanglement dynamics of noisy continuous variable quantum channels
• Theory of Finite Size Effects for Electronic Quantum Monte Carlo Calculations of Liquids and Solids
• Eigenstate Tracking in Open Quantum Systems
• Transport through quasi-one-dimensional wires with correlated disorder

Cited by in corpus (5)

• The Elephant Quantum Walk
• Anomalous Diffusion in a Dynamical Optical Lattice
• Localisation determines the optimal noise rate for quantum transport
• Spinful Aubry-Andre model in a magnetic field: Delocalization facilitated by a weak spin-orbit coupling
• Localization in One-Dimensional Tight-Binding Model with Chaotic Binary Sequences