Quantum synchronization effects induced by strong nonlinearities

A paradigm for quantum synchronization is the analog of Stuart--Landau oscillator, which corresponds to a van der Pol oscillator in limit weak (i.e. vanishingly small) nonlinearity. Due this limitation, fails capture interesting nonlinearity-induced phenomena such as relaxation oscillations. To overcome deficiency we propose an alternative model approximates finitely large nonlinearities while remaining numerically tractable. This allows us uncover deep-quantum strongly-nonlinear regime with no classical analog, persistence amplitude death on resonance. We also report position correlations reactively coupled oscillators. Such oscillations become more and correlated increasing nonlinearity before reaching some maximum. Again, behavior absent classically. show how strong can enlarge bandwidth both single effect be harnessed induce mutual between two oscillators initially death.