Quantum Persistence: A Random Walk Scenario

Details Quantum Persistence: A Random Walk Scenario Quantum Persistence: A Random Walk Scenario

2010-01-28

arxiv.org/abs/1001.5131v1

Phys. Rev. E 81, 021121 (2010)

Physics

Condensed Matter

Statistical Mechanics

6 pages, 6 figures, revtex4. To be published in PRE

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Quantum Persistence: A Random Walk Scenario does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Quantum Persistence: A Random Walk Scenario, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum Persistence: A Random Walk Scenario will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-254326