Abstract
We propose an implementation of a generalized Su-Schrieffer-Heeger (SSH) model based on optomechanical arrays. The topological properties of the generalized SSH model depend on the effective optomechanical interactions which can be controlled by strong driving fields. Three phases including one trivial and two distinct topological phases are found in the generalized SSH model. The phase transition can be observed by turning the strengths and phases of the effective optomechanical interactions via adjusting the driving fields. Moreover, four types of edge states can be created in generalized SSH model of an open chain under single-particle excitation, and the dynamical behaviors of the excitation in the open chain are related to the topological properties under the periodic boundary condition. We show that the edge states can be pumped adiabatically along the optomechanical arrays by periodically modulating the amplitude and frequency of the driving fields, and the state pumping is robust against small disorders. The generalized SSH model based on the optomechanical arrays provides us a controllable platform to engineer topological phases for photons and phonons, which may have potential applications in controlling the transport of photons and phonons.
Highlights
In the past decades, rapid progress has been made in the field ofcavity optomechanical systems, in which a cavity mode is coupled to a mechanical mode via radiation pressure or optical gradient force
We have proposed to implement a generalized SSH model based on optomechanical arrays
Dynamical control of the effective optomechanical interactions can be realized by tuning the strengths and phases of driving fields slowly, which allow for dynamical control of the topological phase transitions
Summary
Rapid progress has been made in the field ofcavity optomechanical systems, in which a cavity mode is coupled to a mechanical mode via radiation pressure or optical gradient force (for reviews, see Refs. [1,2,3,4,5,6]). We study the topological properties of a onedimensional optomechanical array, which can be mapped to a generalized SSH model [78,79,80,81,82,83,84,85] including three complex hopping amplitudes. It is worth mentioning that, after the submission of the first version of this manuscript to arXiv [86], there are many new advances have been made in the field of topological phases in optomechanical arrays based on SSH model, such as topological state transfer and topological beam splitter [87], photon-phonon conversion [88], etc.
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