Coupling modifies the quantum fluctuations of entangled oscillators

Abstract

Coupled oscillators are among the simplest composite quantum systems in which the interplay of entanglement and interaction may be explored. We examine the effects of coupling on fluctuations of the coordinates and momenta of the oscillators in a single-excitation entangled state. We discover that coupling acts as a mechanism for noise transfer between one pair of coordinate and momentum and another. Through this noise transfer mechanism, the uncertainty product is lowered, on average, relatively to its non-coupled level for one pair of coordinate and momentum and it is enhanced for the other pair. This novel mechanism may be explored in precision measurements in entanglement-assisted sensing and metrology.

6 pages, 6 figures

References in corpus (7)

• Beyond the Jaynes-Cummings model: circuit QED in the ultrastrong coupling regime
• Observation of strong coupling between a micromechanical resonator and an optical cavity field
• Circuit cavity electromechanics in the strong coupling regime
• Dynamics of the entanglement between two oscillators in the same environment
• Decoherence, Entanglement and Irreversibility in Quantum Dynamical Systems with Few Degrees of Freedom
• Spin squeezing of atomic ensembles via nuclear-electronic spin entanglement
• Improved Heralded Schemes to Generate Entangled States From Single Photons