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

TL;DR

This paper introduces a method to induce topological SSH phases in a 1D cavity optomechanical system by modulating frequencies, enabling topological phase control without relying on the usual optomechanical coupling strength.

Contribution

The authors propose novel parameter regimes using frequency modulation to realize topological SSH phases in cavity optomechanics, independent of optomechanical coupling strength, and construct an analogous bosonic Kitaev model.

Findings

Topological SSH phase can be induced via frequency modulation regimes.

The induced phase is independent of optomechanical coupling strength.

An analogous bosonic Kitaev model with trivial topology is constructed.

Abstract

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