Quantum Non-demolition Measurements in the Relativistic Dirac Oscillator
Wei Sun, Keye Zhang, Pierre Meystre, and Weiping Zhang

TL;DR
This paper explores the potential for quantum non-demolition measurements in relativistic quantum systems, specifically focusing on the Dirac oscillator, and identifies conditions under which these measurements are experimentally feasible.
Contribution
It derives QND observables for the Dirac oscillator and analyzes their experimental realizability in different relativistic regimes.
Findings
QND observables are complex combinations of position, momentum, and spin.
Feasibility improves in weakly and strongly relativistic limits.
Experimental realization is challenging but possible in simplified regimes.
Abstract
We investigate the feasibility of performing quantum non-demolition (QND) measurements in relativistic quantum systems, using the one-dimensional Dirac oscillator as a specific example. We derive general expressions for its QND observables and find that they are intricate combinations of the position, momentum, and spin operators, which makes them challenging to realize experimentally in general. However, the situation is considerably simplified in both the weakly and strongly relativistic limits, where their experimental realization will be possible.
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