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

Qi, Lu; Xing, Yan; Wang, Hong-Fu; Zhu, Ai‐Dong; Zhang, Shou

doi:10.1364/oe.25.017948

Cited by 23 publications

(15 citation statements)

References 73 publications

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“…Specifically, by using degenerate mechanical oscillators it is possible to create collective long-range interactions and observe strong coupling in optomechanical arrays [42], as well as quantum manybody dynamics [24]. Finally our system may enable the generation of highly entangled mechanical states [28], and viewed more broadly, it can be used to explore quantum correlations in topological optomechanical lattices [10,24,26,27].…”

Section: Discussionmentioning

confidence: 99%

“…The latter is found to be sufficiently small to observe fully hybridized topological edge modes. Such optomechanical lattices, accompanied by the measurement techniques introduced, offers an avenue to explore out of equilibrium physics in optomechanical lattices such as quantum [24] and quench [25] dynamics, topological properties [10,26,27] and more broadly, emergent nonlinear dynamics in complex optomechanical systems with a large number of degrees of freedoms [28][29][30][31].…”

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confidence: 99%

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Superconducting circuit optomechanics in topological lattices

Youssefi¹,

Kono²,

Bancora³

et al. 2021

Preprint

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Section: Discussionmentioning

confidence: 99%

mentioning

confidence: 99%

Superconducting circuit optomechanics in topological lattices

Youssefi¹,

Kono²,

Bancora³

et al. 2021

Preprint

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“…Without loss of generality, we assume that J, ϕ, v and z are real numbers and the global phase factor ϕ can be tuned by adjusting the relative phase of the driving fields. It should be noted that all these assumptions given above are widely used in the theories for optomechanical systems [4], including in one-and twodimensional optomechanical lattices [28][29][30][31][32][33][34][87][88][89][90]. By substituting Eq.…”

Section: Theoretical Modelmentioning

confidence: 99%

“…The topological properties of photons and phonons can also be realized in a onedimensional chain of optomechanical cavities. For example, in the recent works, Z 2 topological insulators [33] and Kitaev model [34] were simulated via one-dimensional optomechanical arrays.…”

Section: Introductionmentioning

confidence: 99%

Generalized Su-Schrieffer-Heeger Model in One Dimensional Optomechanical Arrays

Zhao

Wang

et al. 2022

Front. Phys.

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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 which can be controlled by strong driving 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 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, and the state pumping is robust against small disorders. The generalized SSH model based on the optomechanical arrays provides us a controllable platform to engineer topological phases for photons and phonons, which may have potential applications in controlling the transport of photons and phonons.

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“…For example, in Ref. [63], a scheme has been proposed to induce a Z 2 topological insulator based on a optomechanical array. In Ref.…”

Section: Introductionmentioning

confidence: 99%

Controllable photonic and phononic topological state transfers in a small optomechanical lattice

Wang

Liu

et al. 2020

Opt. Lett.

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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 toward the mapping of the photonic topological insulator based on the micro-nano optomechanical quantum optical platform.

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

Cited by 23 publications

References 73 publications

Superconducting circuit optomechanics in topological lattices

Superconducting circuit optomechanics in topological lattices

Generalized Su-Schrieffer-Heeger Model in One Dimensional Optomechanical Arrays

Controllable photonic and phononic topological state transfers in a small optomechanical lattice

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