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Nonlinear Dynamics

Nonlinear optical response in multiple-mode coupling nanomechanical system

Hua‐Jun Chen

Published Apr 11, 2024• 1 citation
Publisher
DOI
10.1007/s11071-024-09464-4

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We propose a multiple-mechanical-mode-coupling nanomechanical system comprising three nanomechanical resonators (NRs) with different frequencies and each two NRs able to interact with each other. By weaving different NRs and controlling the coupling of NRs, the nanomechanical system can be series-, parallel-, or network-coupled nanoresonators network. Using two-tone fields to drive quantum dot implanted in one NR, we investigate the coherence optical responses and absorption spectrum manifested as a triple Fano resonance. Furthermore, each Fano resonance peak of the triple Fano resonance that induced the coherent optical propagation were demonstrated. The numerical results indicate that the slow light and the slow-to-fast light transition can be obtained by manipulating the interaction of NRs. These findings imply that the multiple-mechanical-mode coupling system can be a promising integration platform to achieve chip-scale applications in quantum information processing.
Nonlinearity is a key resource in both classical and quantum signal processing. Nonlinear nanomechanical elements have found applications ranging from sensing to computing, while networks of nonlinear resonators, as well as nonlinearly coupled networks of linear resonators, constitute promising platforms for simulating complex dynamics. Here, we experimentally demonstrate an approach to realizing strong mechanical nonlinearity in nanomechanical resonators, fully controlled through optical laser drives. The mechanism exploits the nonlinearity of the radiation-pressure interaction in a cavity optomechanical system, which gives rise to a nonlinear optical spring effect. The resulting Duffing nonlinearity is conveniently tunable in strength via pump laser power, while its sign is controlled by laser detuning. Moreover, we demonstrate that the nonlinear optical spring mediates effective interactions between mechanical modes coupled to a common cavity, inducing tunable nonlinear interactions between them that impact spectral response and dynamics. These results establish cavity optomechanics as a versatile and in-situ reconfigurable platform for engineering nonlinear dynamics in resonators and networks.
We theoretically propose a multiple-mode-coupling hybrid quantum system comprising two-mode-coupling nanomechanical carbon nanotube (CNT) resonators realized by a phase-dependent phonon-exchange interaction interacting with the same nitrogen-vacancy (NV) center in diamond. We investigate the coherent optical responses of the NV center under the condition of resonance and detuning. In particular, two-color electromagnetically induced transparency (EIT) can be achieved by controlling the system parameters and coupling regimes. Combining the spin-phonon interactions and phonon-phonon coupling with the modulation phase, the switching of one and two EIT windows has been demonstrated, which generates a light delay or advance. The slow-to-fast and fast-to-slow light transitions have been studied in different coupling regimes, and the switch between slow and fast light can be controlled periodically by tuning the modulation phase. The study can be applied to phonon-mediated optical information storage or information processing with spin qubits based on multiple-mode hybrid quantum systems.