Abstract
We propose a novel scheme to simulate Z2 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.
Highlights
Topological insulators have become a very active area of research and raised widespread attention since the discovery of quantum Hall (QH) effects [1, 2] in 1980
The topological classification and the essentially topological features of the system can be captured by a topological invariant. These novel properties stimulate that many theoretical models and experimental schemes have been proposed to investigate topological insulators, including graphene ribbons [3, 4], cold atoms trapped in optical lattices [5,6,7,8,9], open system [10,11,12], p-orbit optical ladder systems [13], off-diagonal bichromatic optical lattices [14], and circuit-QED lattices [15,16,17,18]
It has been verified that these systems can be used to simulate and investigate topological insulators exhibiting QH edge states via the synthetic gauge field, dimensional reduction, etc. methods
Summary
Topological insulators have become a very active area of research and raised widespread attention since the discovery of quantum Hall (QH) effects [1, 2] in 1980. The topological classification and the essentially topological features of the system can be captured by a topological invariant These novel properties stimulate that many theoretical models and experimental schemes have been proposed to investigate topological insulators, including graphene ribbons [3, 4], cold atoms trapped in optical lattices [5,6,7,8,9], open system [10,11,12], p-orbit optical ladder systems [13], off-diagonal bichromatic optical lattices [14], and circuit-QED lattices [15,16,17,18]. It has been verified that these systems can be used to simulate and investigate topological insulators exhibiting QH edge states via the synthetic gauge field, dimensional reduction, etc.
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