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Large Quantum Delocalization of a Levitated Nanoparticle Using Optimal Control: Applications for Force Sensing and

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We demonstrate a novel control method to expand a levitated nanoparticle’s quantum state to macroscopic scales. This technique enhances force sensing and nanoparticle entanglement, paving the way for exploring macroscopic quantum phenomena.

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Area of Science:

  • Quantum mechanics
  • Optics
  • Nanotechnology

Background:

  • Levitated nanoparticles offer a platform for studying macroscopic quantum phenomena.
  • Controlling quantum states at larger scales is a key challenge in quantum physics.

Purpose of the Study:

  • To develop a time-optimal control protocol for expanding the quantum delocalization of a levitated nanoparticle's center-of-mass motion.
  • To investigate the potential applications of this protocol in force sensing and quantum entanglement.

Main Methods:

  • Utilizing bang-bang control of the harmonic potential, including inversion, to manipulate the nanoparticle's motional state.
  • Simulating the coherent expansion and contraction of the nanoparticle's quantum state.
  • Analyzing the protocol's performance under realistic noise conditions, including displacement and frequency noise.

Main Results:

  • Achieved quantum delocalization of the nanoparticle's center-of-mass motion to scales significantly larger than zero-point motion.
  • Demonstrated the protocol's effectiveness in enhancing force sensing capabilities.
  • Showcased a significant boost in the entangling rate of two weakly interacting nanoparticles.

Conclusions:

  • The proposed time-optimal control protocol enables exploration of macroscopic quantum regimes.
  • This method provides a pathway for improved quantum sensing and entanglement generation with levitated nanoparticles.
  • The noise analysis accounts for decoherence sources relevant to current experimental setups.