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We propose two kinds of distinguishing parameter regimes to inducetopological Su-Schrieffer-Heeger (SSH) phase in a one dimensional (1D)multi-resonator cavity optomechanical system via modulating the frequencies ofboth cavity fields and resonators. The introduction of the frequencymodulations allows us to eliminate the Stokes heating process for the mappingof the tight-binding Hamiltonian without usual rotating wave approximation,which is totally different from the traditional mapping of the topologicaltight-binding model. We find that the tight-binding Hamiltonian can be mappedinto a topological SSH phase via modifying the Bessel function originating fromthe frequency modulations of cavity fields and resonators, and the induced SSHphase is independent on the effective optomechanical coupling strength. On theother hand, the insensitivity of the system to the effective optomechanicalcoupling provides us another new path to induce the topological SSH phase basedon the present 1D cavity optomechanical system. And we show that the system canexhibit a topological SSH phase via varying the effective optomechanicalcoupling strength in an alternative way, which is much more easier to beachieved in experiment. Furthermore, we also construct an analogous bosonicKitaev model with the trivial topology by keeping the Stokes heating processes.Our scheme provides a steerable platform to investigate the effects ofnext-nearest-neighboring interactions on the topology of the system.

Topological phase induced by distinguishing parameter regimes in cavity optomechanical system with multiple mechanical resonators