Cross-Kerr effect on an optomechanical system

Abstract

We study cross-Kerr (CK) effect on an optomechanical system driven by two-tone fields. We show that in the presence of the CK effect, a bistable behavior of the mean photon number in the cavity becomes more robust against the fluctuations of the frequency detuning between the cavity mode and the control field. The bistability can also be turned into a tri-stability within the experimentally accessible range of the system parameters. Also, we find that the symmetric profile of the optomechanically induced transparency is broken and the zero-absorption point is shifted in the presence of the CK effect. This shift can be used to measure the strength of the CK effect, and the asymmetric absorption profiles can be employed to engineer a high quality factor of the cavity.

7 pages, 4 figures

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• Optomechanical-interface-induced strong spin-magnon coupling
• Single photon transmission in strong three-mode optomechanical circulatory system
• Higher-order exceptional point in a blue-detuned non-Hermitian cavity optomechanical system
• Resonance-dominant optomechanical entanglement in open quantum systems
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• Improving photon blockade, entanglement and mechanical-cat-state generation in a generalized cross-Kerr optomechanical circuit
• Designing Kerr interactions using multiple superconducting qubit types in a single circuit
• Simultaneous ground-state cooling of multiple degenerate mechanical modes through cross-Kerr effect
• Low-power phonon lasing through position-modulated Kerr-type nonlinearity
• Hybrid coupling optomechanically assisted nonreciprocal photon blockade
• Nonreciprocal Microwave-Optical Entanglement in Kerr-Modified Cavity Optomagnomechanics
• Nonlinear optomechanical systems with quasi-periodic and chaotic dynamics
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• Controllable optical bistability with perfect photon absorption
• Optomechanical coupling and damping of a carbon nanotube quantum dot
• Optomechanical simulation of a parametric oscillator
• Qubit-assisted squeezing of the mirror motion in a dissipative optomechanical cavity system
• Controlling correlations of a polaritonic Luttinger liquid by engineered cross-Kerr nonlinearity
• Approaching quantum-limited amplification with large gain catalyzed by hybrid nonlinear media in cavity optomechanics