Generalized Su-Schrieffer-Heeger model in one dimensional optomechanical arrays

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 enhanced by strong driving optical 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 external 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. The generalized SSH model based on the optomechanical arrays provides us a tunable platform to engineer topological phases for photons and phonons, which may have potential applications in controlling the transport of photons and phonons.

11 pages, 14 figures

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Cited by in corpus (7)

• Engineering of topological state transfer and topological beam splitter in an even-size Su-Schrieffer-Heeger chain
• Thermal noise cancellation for optomechanically induced nonreciprocity in a whispering-gallery-mode microresonator
• Generalized Su-Schrieffer-Heeger model in one dimensional optomechanical arrays
• Topological Phases of Tight-Binding Trimer Lattice in the BDI Symmetry Class
• Quantum geometric tensor and the topological characterization of the extended Su-Schrieffer-Heeger model
• Topological analysis of the complex SSH model using the quantum geometric tensor
• Manipulating Topological Polaritons in Optomechanical Ladders