Quantum signatures of bistability and limit cycle in Kerr-modified cavity magnomechanics

Abstract

We study a Kerr-modified cavity magnomechanical system with a focus on its bistable regime. We identify a distinct parametric condition under which bistability appears, featuring two stable branches and one unstable branch in the middle. Interestingly, our study reveals a unique transition where the upper branch loses its stability under a sufficiently strong drive, giving rise to limit cycle oscillation. Consequently, we report a rich phase diagram consisting of both bistable and periodic solutions and study quantum correlations around them. While in the bistable regime, we find the entanglement reaching different steady state value, in the unstable regime, entanglement oscillates in time. This study is especially important in understanding quantum entanglement at different stable and unstable points arising in a Kerr-modified cavity magnomechanical system.

References in corpus (16)

• Strongly coupled magnons and cavity microwave photons
• Hybridizing ferromagnetic magnons and microwave photons in the quantum limit
• Resolved Sideband Cooling of a Micromechanical Oscillator
• Quantum magnonics: when magnon spintronics meets quantum information science
• Spin Pumping in Electrodynamically Coupled Magnon-Photon Systems
• Cavity Magnonics
• $\mathcal{P}\mathcal{T}$-Symmetry-Breaking Chaos in Optomechanics
• Mechanical Bistability in Kerr-modified Cavity Magnomechanics
• The optomechanical instability in the quantum regime
• Route to chaos in optomechanics
• Dynamical Backaction Magnomechanics
• Quantum Phase Transitions in Optomechanical Systems
• Experimental exploration of the optomechanical attractor diagram and its dynamics
• Dissipative phase transitions in optomechanical systems
• Instabilities near ultrastrong coupling in microwave optomechanical cavity
• Quantum signatures of transitions from stable fixed points to limit cycles in optomechanical systems