The first detection time of one-dimensional systems with long-range interactions
-
Published:2023-05-20
Issue:
Volume:
Page:
-
ISSN:0217-9792
-
Container-title:International Journal of Modern Physics B
-
language:en
-
Short-container-title:Int. J. Mod. Phys. B
Author:
Meng Xiangjia1ORCID,
Chen Longxi1
Affiliation:
1. School of Information Engineering, Shandong Youth University of Political Science, Jinan 250103, P. R. China
Abstract
We studied the first detection problem of the quantum particle transition on a one-dimensional Lévy crystal, which includes the long-range interactions and the transition process on the system can be described by the spatial fractional Schrödinger equation. The results demonstrate that the long-range interactions can be directly obtained for short time. The average detection times [Formula: see text] and the corresponding variance [Formula: see text] are discontinuous with respect to the detection interval [Formula: see text], which could be caused by the beat of the detection frequency [Formula: see text] and the oscillation frequency of the first detection probability [Formula: see text].
Funder
Science and Technology Support Plan for Youth Innovation of Colleges and Universities of Shandong Province of China
Publisher
World Scientific Pub Co Pte Ltd
Subject
Condensed Matter Physics,Statistical and Nonlinear Physics