中国物理B ›› 2026, Vol. 35 ›› Issue (7): 74601-074601.doi: 10.1088/1674-1056/ae1def

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Phase encoding in parametric nanomechanical resonator via annealing

Chen Yang(杨晨)1,2,3,†, Feng-Nan Chen(陈凤楠)1,2,3,†, Bo Wu(吴博)1,2,3, Ting-Ting Li(李婷婷)1,2,3, Zong-Yi Bao(鲍宗壹)1,2,3, Joel Moser1,2,3,‡, and Heng Lu(卢恒)1,2,3,4,§   

  1. 1 School of Optoelectronic Science and Engineering and Collaborative Innovation Center of Suzhou Nano Science and Technology, Soochow University, Suzhou 215006, China;
    2 Key Laboratory of Advanced Optical Manufacturing Technologies of Jiangsu Province and Key Laboratory of Modern Optical Technologies of Education Ministry of China, Soochow University, Suzhou 215006, China;
    3 Jiangsu Key Laboratory of Flexible Optoelectronics and Micro-Nano Manufacturing, Suzhou 215006, China;
    4 School of Optical and Electronic Information and Jiangsu Suzhou Key Laboratory of Biophotonics, Suzhou City University, Suzhou 215006, China
  • 收稿日期:2025-09-30 修回日期:2025-11-06 接受日期:2025-11-11 发布日期:2026-07-10
  • 通讯作者: Joel Moser, Heng Lu E-mail:j.moser@suda.edu.cn;luheng@szcu.edu.cn
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 62150710547 and 62074107) and the Project of the Priority Academic Program Development (PAPD) of Jiangsu Higher Education Institutions.

Phase encoding in parametric nanomechanical resonator via annealing

Chen Yang(杨晨)1,2,3,†, Feng-Nan Chen(陈凤楠)1,2,3,†, Bo Wu(吴博)1,2,3, Ting-Ting Li(李婷婷)1,2,3, Zong-Yi Bao(鲍宗壹)1,2,3, Joel Moser1,2,3,‡, and Heng Lu(卢恒)1,2,3,4,§   

  1. 1 School of Optoelectronic Science and Engineering and Collaborative Innovation Center of Suzhou Nano Science and Technology, Soochow University, Suzhou 215006, China;
    2 Key Laboratory of Advanced Optical Manufacturing Technologies of Jiangsu Province and Key Laboratory of Modern Optical Technologies of Education Ministry of China, Soochow University, Suzhou 215006, China;
    3 Jiangsu Key Laboratory of Flexible Optoelectronics and Micro-Nano Manufacturing, Suzhou 215006, China;
    4 School of Optical and Electronic Information and Jiangsu Suzhou Key Laboratory of Biophotonics, Suzhou City University, Suzhou 215006, China
  • Received:2025-09-30 Revised:2025-11-06 Accepted:2025-11-11 Published:2026-07-10
  • Contact: Joel Moser, Heng Lu E-mail:j.moser@suda.edu.cn;luheng@szcu.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 62150710547 and 62074107) and the Project of the Priority Academic Program Development (PAPD) of Jiangsu Higher Education Institutions.

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摘要： Nanomechanical resonators driven parametrically enable binary information encoding based on the control of their two possible vibrational phases. We present a protocol to flip the parametric phase in a graphene nanomechanical resonator via annealing, offering a novel approach to nanomechanical logic. The core of our methodology involves driving the resonator with a parametric excitation near twice its resonant frequency and applying an external drive to break the symmetry of the dynamical double-well potential of the bistable states. By introducing white force noise to anneal the resonator, its vibrational phase settles into the state with the lower potential. The phase can be deterministically prepared in one of two states, differing by approximately p radians, by controlling the phase of direct drive and annealing. The demonstrated protocol offers a promising approach for nanomechanical logic with potential advantages in efficiency, error resilience, and scalability.

关键词: phase encoding, parametric amplification, mechanical resonator, graphene

Abstract: Nanomechanical resonators driven parametrically enable binary information encoding based on the control of their two possible vibrational phases. We present a protocol to flip the parametric phase in a graphene nanomechanical resonator via annealing, offering a novel approach to nanomechanical logic. The core of our methodology involves driving the resonator with a parametric excitation near twice its resonant frequency and applying an external drive to break the symmetry of the dynamical double-well potential of the bistable states. By introducing white force noise to anneal the resonator, its vibrational phase settles into the state with the lower potential. The phase can be deterministically prepared in one of two states, differing by approximately p radians, by controlling the phase of direct drive and annealing. The demonstrated protocol offers a promising approach for nanomechanical logic with potential advantages in efficiency, error resilience, and scalability.

Key words: phase encoding, parametric amplification, mechanical resonator, graphene

中图分类号:  (Resonance, damping, and dynamic stability)

  • 46.40.Ff
62.25.-g (Mechanical properties of nanoscale systems) 62.40.+i (Anelasticity, internal friction, stress relaxation, and mechanical resonances) 05.45.-a (Nonlinear dynamics and chaos)