Enhanced photon-phonon cross-Kerr nonlinearity with two-photon driving

Area of Science:

• Quantum optics
• Optomechanics
• Nonlinear dynamics

Background:

• Optomechanical systems (OMS) are crucial for studying light-matter interactions.
• Enhancing cross-Kerr (CK) nonlinearity is key for quantum information processing.
• Weak coupling in OMS limits practical applications.

Purpose of the Study:

• To propose a scheme for significantly enhancing CK nonlinearity in quadratically coupled OMS.
• To demonstrate quantum nondemolition measurement of phonon number.
• To investigate photon-phonon blockade for quantum manipulation.

Main Methods:

• Utilizing two-photon driving in a quadratically coupled OMS.
• Exploiting parametric-driving-induced squeezing.
• Employing a squeezed vacuum reservoir for noise suppression.

Main Results:

• Achieved significant enhancement of CK nonlinearity.
• Demonstrated feasible quantum nondemolition measurement of phonon number.
• Observed photon-phonon blockade for quantum control.

Conclusions:

• The proposed scheme offers a powerful route to enhance nonlinearities in OMS.
• This work paves the way for advanced quantum information processing and quantum networks using OMS.
• The demonstrated techniques are vital for future quantum technologies.