2010/06/30 by C. M. Chandrashekar
Computer Science · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Neural Networks and Reservoir Computing #Quantum Information and Cryptography #cond-mat.quant-gas #quant-ph
paper · pdf · doi:10.1103/physreva.83.022320
published as Phys. Rev. A 83, 022320 (2011) · 6 pages, 4 figures, published version
openalex publication_date 2011/02/22 · arxiv created 2011/02/24 · arxiv updated 2011/02/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present an approach to induce localization of a Bose-Einstein condensate in a one-dimensional lattice under the influence of unitary quantum-walk evolution using disordered quantum coin operation. We introduce a discrete-time quantum-walk model in which the interference effect is modified to diffuse or strongly localize the probability distribution of the particle by assigning a different set of coin parameters picked randomly for each step of the walk, respectively. Spatial localization of the particle or state is explained by comparing the variance of the probability distribution of the quantum walk in position space using disordered coin operation to that of the walk using an identical coin operation for each step. Due to the high degree of control over quantum coin operation and most of the system parameters, ultracold atoms in an optical lattice offer opportunities to implement a disordered quantum walk that is unitary and induces localization. Here we present a scheme to use a Bose-Einstein condensate that can be evolved to the superposition of its internal states in an optical lattice and control the dynamics of atoms to observe localization. This approach can be adopted to any other physical system in which controlled disordered quantum walk can be implemented.