Amplifying Two-Mode Squeezing in Nanomechanical Resonators
Muhdin Abdo Wodedo, Tesfay Gebremariam Tesfahannes, Tewodros Yirgashewa Darge, Mauro Pereira, and Berihu Teklu

TL;DR
This paper proposes a scheme to significantly amplify two-mode squeezing in nanomechanical resonators using parametric amplification and two-tone laser controls, enhancing quantum metrology and information processing.
Contribution
The study introduces a novel cooperative mechanism combining laser controls and parametric amplification to boost two-mode squeezing in nanomechanical systems.
Findings
Amplification of two-mode squeezing via laser control and parametric processes.
Enhanced squeezing levels are resilient to thermal noise.
The scheme is effective under realistic experimental conditions.
Abstract
Quantum squeezing plays a crucial role in enhancing the precision of quantum metrology and improving the efficiency of quantum information processing protocols. We thus propose a scheme to amplify two-mode squeezing in nanomechanical resonators, harnessing parametric amplification and two-tone laser controls. The red-detuned laser drives facilitate the cooling of the nanomechanical resonators down to their ground state and allow optimal quantum state transfer in the weak-coupling, resolved sideband regime. In particular, the competing blue-detuned lasers in the driving pairs induce displacement squeezing in mechanical resonators. Thus, the quantum state transfer of the squeezing in nanomechanical resonators and the intracavity correlated photons of the parametric amplifier significantly enhance the two-mode mechanical squeezing. Notably, increasing the coupling strength of the red…
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