Simulating Z_2 topological insulators via a one-dimensional cavity optomechanical cells array

Abstract

We propose a novel scheme to simulate Z_2 topological insulators via one-dimensional (1D) cavity optomechanical cells array. The direct mapping between 1D cavity optomechanical cells array and 2D quantum spin Hall (QSH) system can be achieved by using diagonalization and dimensional reduction methods. We show that the topological features of the present model can be captured using a 1D generalized Harper equation with an additional SU(2) guage structure. Interestingly, spin pumping of effective photon-phonon bosons can be naturally derived after scanning the additional periodic parameter, which means that we can realize the transition between different QSH edge states.

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• Engineering of topological state transfer and topological beam splitter in an even-size Su-Schrieffer-Heeger chain
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• Topological phase induced by distinguishing parameter regimes in cavity optomechanical system with multiple mechanical resonators
• Generalized Su-Schrieffer-Heeger model in one dimensional optomechanical arrays
• Multicritical quantum sensors driven by symmetry-breaking
• Simulation of Kitaev model using one-dimensional chain of superconducting qubits and environmental effect on topological states