New Insights into Quantum Oscillator Dynamics with Attractive-Repulsive Interactions

Recent research has explored the dynamics of quantum self-sustained oscillators influenced by both attractive and repulsive interactions. The study, titled "Attractive-repulsive interaction in coupled quantum oscillators," authored by Bulti Paul, Biswabibek Bandyopadhyay, and Tanmoy Banerjee, investigates the behavior of quantum Stuart-Landau oscillators under such coupling conditions. The researchers constructed a quantum master equation in the Lindblad form to analyze these interactions.

A significant finding of this study is the identification of a symmetry-breaking transition from a quantum limit cycle oscillation to a quantum inhomogeneous steady state. This transition is noted to be contrary to previously established transitions from a quantum homogeneous to an inhomogeneous steady state. The authors supported their results with analyses of a noisy classical model of the quantum system in the weak quantum regime.

Additionally, the research highlights the generation of entanglement associated with the symmetry-breaking transition, a phenomenon that lacks a classical counterpart. This discovery could enhance the understanding of collective behaviors exhibited by coupled oscillators in the quantum realm, potentially influencing future developments in quantum technologies.

The full paper can be accessed at arXiv:2408.12972.