Dissipation-induced topological phase transition and periodic-driving-induced photonic topological state transfer in a s
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Front. Phys. 16(1), 12503 (2021)
Research article Dissipation-induced topological phase transition and periodic-driving-induced photonic topological state transfer in a small optomechanical lattice Lu Qi1 , Guo-Li Wang1 , Shutian Liu1,† , Shou Zhang1,2,‡ , Hong-Fu Wang2,# 1
School of Physics, Harbin Institute of Technology, Harbin 150001, China Department of Physics, College of Science, Yanbian University, Yanji 133002, China Corresponding authors. E-mail: † [email protected], ‡ [email protected], # [email protected] Received June 26, 2020; accepted August 7, 2020 2
We propose a scheme to investigate the topological phase transition and the topological state transfer based on the small optomechanical lattice under the realistic parameters regime. We find that the optomechanical lattice can be equivalent to a topologically nontrivial Su–Schrieffer–Heeger (SSH) model via designing the effective optomechanical coupling. Especially, the optomechanical lattice experiences the phase transition between topologically nontrivial SSH phase and topologically trivial SSH phase by controlling the decay of the cavity field and the optomechanical coupling. We stress that the topological phase transition is mainly induced by the decay of the cavity field, which is counter-intuitive since the dissipation is usually detrimental to the system. Also, we investigate the photonic state transfer between the two cavity fields via the topologically protected edge channel based on the small optomechanical lattice. We find that the quantum state transfer assisted by the topological zero energy mode can be achieved via implying the external lasers with the periodical driving amplitudes into the cavity fields. Our scheme provides the fundamental and the insightful explanations towards the mapping of the photonic topological insulator based on the micro-nano optomechanical quantum optical platform. Keywords topological phase transition, topological state transfer, optomechanical lattice
1 Introduction Recently, topological insulator [1–4] has attracted widespread attention in the field of condensed matter physics since it possesses numerous novel properties, such as the commensal existences of the insulating bulk state and the conducting edge state. These newfangled properties lead topological insulators to have abundant potential applications in quantum information processing [5– 7], quantum computing [8, 9], topological laser [10, 11], etc. The previous investigations in the field of topological insulator mainly aim to the solid state electronic system [1, 2, 4], in which the topological models of the singleelectron or multi-electron have been widely investigated. With the very fast developing of the micro-nano processing technology and the quantum optical devices, multifarious bosonic optical systems have become the excellentperformance and very-promising platforms for the investigations of photonic topological insulator [12, 13], including the topological phase and phase transition in photonic crystal [14–20], photonic topological insula
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