Exploring quantum measurement with entangled ultracold atoms

Abstract

In this article we present a pedagogical case study of continuous quantum measurement using an example drawn from ultracold bosonic many-body systems. We analyze the dynamics of an Einstein–Podolsky–Rosen-like entangled state within a Bose–Hubbard dimer subject to continuous particle-number measurement at one of the sites. We discuss fundamental aspects of quantum measurement theory, including the Born rule, decoherence, measurement back-action, and the quantum Zeno effect. We further identify distinct characteristic timescales associated with measurement, decoherence, and the completion of particle counting. The discussion is intended to provide graduate students with a modern and physically relevant perspective on foundational concepts of quantum mechanics.