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In this study, we investigate the phonon antibunching effect in a couplednonlinear micro/nanoelectromechanical system (MEMS/NEMS) resonator at a finitetemperature. In the weak driving limit, the optimal condition for phononantibunching is given by solving the stationary Liouville-von Neumann masterequation. We show that at low temperature, the phonon antibunching effectoccurs in the regime of weak nonlinearity and mechanical coupling, which isconfirmed by analytical and numerical solutions. We also find that thermalnoise can degrade or even destroy the antibunching effect for differentmechanical coupling strengths. Furthermore, a transition from strongantibunching to bunching for phonon correlation has been observed in thetemperature domain. Finally, we find that a suitably strong driving in thefinite-temperature case would help to preserve an optimal phonon correlationagainst thermal noise.

Phonon antibunching effect in coupled nonlinear micro/nanomechanical resonator at finite temperature