Quantum Persistence: A Random Walk Scenario
Statistical Mechanics
2015-05-18 v1 Quantum Physics
Abstract
In this paper we extend the concept of persistence, well defined for classical stochastic dynamics, to the context of quantum dynamics. We demonstrate the idea via quantum random walk and a successive measurement scheme, where persistence is defined as the time during which a given site remains unvisited by the walker. We also investigated the behavior of related quantities, e.g., the first-passage time and the succession probability (newly defined), etc. The study reveals power law scaling behavior of these quantities with new exponents. Comparable features of the classical and the quantum walks are discussed.
Cite
@article{arxiv.1001.5131,
title = {Quantum Persistence: A Random Walk Scenario},
author = {Sanchari Goswami and Parongama Sen and Arnab Das},
journal= {arXiv preprint arXiv:1001.5131},
year = {2015}
}
Comments
6 pages, 6 figures, revtex4. To be published in PRE