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Quantum duality is a far reaching concept in contemporary theoreticalphysics. In the present paper, we reveal the quantum dualities in quantumanomalous Hall (QAH) phases through concrete two bands Hamiltonian models. Ourmodels can realize QAH phases with arbitrary large Chern numbers. In realmaterials these models may be realized by stacked $n$ layer systems of $c_1=1$QAH insulators. The topological phase transitions that can change the Chernnumbers are studied. And we investigate the gapless edge modes of our models indetails, and find a new mechanism for the bulk boundary correspondence.

Quantum Dualities and Quantum Anomalous Hall Phases with Arbitrary Large Chern Numbers