Nonlinearity-induced symmetry breaking in a system of two parametrically driven Kerr-Duffing oscillators

Year: 2024

Authors: Hellbach F., De Bernardis D., Saur M., Carusotto., Belzig W., Rastelli G.

Autors Affiliation: Univ Konstanz, Fachbereich Phys, D-78457 Constance, Germany; CNR INO, European Lab Nonlinear Spect LENS, Via Nello Carrara 1, I-50019 Sesto Fiorentino, Italy; Univ Trento, Pitaevskii BEC Ctr, CNR INO, I-38123 Trento, Italy; Univ Trento, Dipartimento Fis, I-38123 Trento, Italy.

Abstract: We study the classical dynamics of a system comprising a pair of Kerr-Duffing nonlinear oscillators, which are coupled through a nonlinear interaction and subjected to a parametric drive. Using the rotating wave approximation, we analyze the steady-state solutions for the amplitudes of the two oscillators. For the case of almost identical oscillators, we investigate separately the cases in which only one oscillator is parametrically driven and in which both oscillators are simultaneously driven. In the latter regime, we demonstrate that even when the parametric drives acting on the two oscillators are identical, the system can transition from a stable symmetric solution to a broken-symmetry solution as the detuning is varied.

Journal/Review: NEW JOURNAL OF PHYSICS

Volume: 26 (10)      Pages from: 103020-1  to: 103020-13

More Information: The work was supported by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) through Project-ID 25217212-SFB 1432. G R and I C acknowledge financial support by the PE0000023-NQSTI project by the Italian Ministry of University and Research, co-funded by the European Union-NextGeneration EU, and from Provincia Autonoma di Trento (PAT), partly via the Q@TN initiative. D D B acknowledges funding from the European Union-NextGeneration EU, ’Integrated infrastructure initiative in Photonic and Quantum Sciences’-I-PHOQS [IR0000016, ID D2B8D520, CUP B53C22001750006].
KeyWords: parametric interaction; Kerr resonators; Duffing resonators; nonlinear dynamics
DOI: 10.1088/1367-2630/ad8478