title: Quantum persistence: a random-walk scenario.
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.
authors.affiliation: Department of Physics, University of Calcutta, 92 Acharya Prafulla Chandra Road, Calcutta 700009, India.
authors.forename: Sanchari
authors.initials: S
authors.lastname: Goswami
authors.forename: Parongama
authors.initials: P
authors.lastname: Sen
authors.forename: Arnab
authors.initials: A
authors.lastname: Das