Indirect Measurements of a Harmonic Oscillator
Mathematical Physics
2019-08-28 v2 math.MP
Quantum Physics
Abstract
The measurement of a quantum system becomes itself a quantum-mechanical process once the apparatus is internalized. That shift of perspective may result in different physical predictions for a variety of reasons. We present a model describing both system and apparatus and consisting of a harmonic oscillator coupled to a field. The equation of motion is a quantum stochastic differential equation. By solving it we establish the conditions ensuring that the two perspectives are compatible, in that the apparatus indeed measures the observable it is ideally supposed to.
Keywords
Cite
@article{arxiv.1809.00516,
title = {Indirect Measurements of a Harmonic Oscillator},
author = {Martin Fraas and Gian Michele Graf and Lisa Hänggli},
journal= {arXiv preprint arXiv:1809.00516},
year = {2019}
}
Comments
37 pages, 2 figures