Quantum Non-demolition Measurements in the Relativistic Dirac Oscillator

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.

9 pages, 2 figures

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• Direct Measurement of the Spin-Orbit Interaction in a Two-Electron InAs Nanowire Quantum Dot
• Generation of a squeezed state of an oscillator by stroboscopic back-action-evading measurement
• Quantum heat engine in the relativistic limit: The case of a Dirac particle