Quantum effects in amplitude death of coupled anharmonic self-oscillators

TL;DR

This paper investigates quantum effects in amplitude death of coupled anharmonic self-oscillators, revealing multiple resonances due to discrete energy spectra, a phenomenon absent in classical models, and suggests experimental realization with current technology.

Contribution

It demonstrates that anharmonic quantum self-oscillators exhibit multiple resonances in amplitude death, highlighting genuine quantum effects not seen in classical systems.

Findings

Multiple resonances in mean phonon number observed

Quantum anharmonic oscillators differ from classical models

Potential for experimental verification with current tech

Abstract

Coupling two or more self-oscillating systems may stabilize their zero-amplitude rest-state, therefore quenching their oscillation. This phenomenon is termed "amplitude death". Well-known and studied in classical self-oscillators, amplitude death was only recently investigated in quantum self-oscillators [Ishibashi et al., Phys. Rev. E 96, 052210]. Quantitative differences between the classical and quantum descriptions were found. Here, we demonstrate that for quantum self-oscillators with anharmonicity in their energy spectrum, multiple resonances in the mean phonon number can be observed. This is a result of the discrete energy spectrum of these oscillators, and is not present in the corresponding classical model. Experiments can be realized with current technology and would demonstrate these genuine quantum effects in the amplitude death phenomenon.