Crossover between strong and weak measurement in interacting many-body systems
Abstract
Measurements with variable system-detector interaction strength, ranging from weak to strong, have been recently reported in a number of electronic nanosystems. In several such instances many-body effects play a significant role. Here we consider the weak--to--strong crossover for a setup consisting of an electronic Mach-Zehnder interferometer, where a second interferometer is employed as a detector. In the context of a conditional which-path protocol, we define a generalized conditional value (GCV), and determine its full crossover between the regimes of weak and strong (projective) measurement. We find that the GCV has an oscillatory dependence on the system-detector interaction strength. These oscillations are a genuine many-body effect, and can be experimentally observed through the voltage dependence of cross current correlations.
Cite
@article{arxiv.1409.4094,
title = {Crossover between strong and weak measurement in interacting many-body systems},
author = {Iliya Esin and Alessandro Romito and Ya. M. Blanter and Yuval Gefen},
journal= {arXiv preprint arXiv:1409.4094},
year = {2016}
}
Comments
5 pages, 3 figures, and appendices (9 pages, 3 figures, 2 tables)