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Classical analogue to driven quantum bits based on macroscopic pendula.

Heribert Lorenz1, Sigmund Kohler2, Anton Parafilo3

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Classical mechanics can model quantum phenomena. Researchers used a classical pendulum system to demonstrate control over quantum bit (qubit) dynamics, aiding comprehension of quantum technologies.

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Area of Science:

  • Quantum mechanics and classical physics
  • Wave mechanics
  • Quantum technologies

Background:

  • Quantum mechanics underpins modern technologies but remains difficult to comprehend due to its non-deterministic nature.
  • Classical mechanics is typically viewed as an approximation for large systems where quantum coherence is lost.
  • The correspondence principle suggests a link between classical and quantum mechanics.

Purpose of the Study:

  • To investigate the dynamics of macroscopic physical pendula as a classical analogue to a quantum bit (qubit).
  • To demonstrate that classical systems can exhibit and allow control over quantum phenomena.
  • To develop a tool for better understanding and advancing quantum technologies.

Main Methods:

  • Utilizing macroscopic physical pendula with modulated coupling as a classical-to-quantum analogue.
  • Applying principles of wave mechanics, which are fundamental to both classical and quantum realms.
  • Implementing experimental techniques to achieve full control over the analogue system.

Main Results:

  • Successfully demonstrated Rabi oscillations, a hallmark of coherent quantum dynamics, in the classical pendulum system.
  • Replicated Landau-Zener transitions, showing the system's ability to mimic quantum tunneling phenomena.
  • Achieved Landau-Zener-Stückelberg-Majorana interferometry, further validating the classical analogue's quantum behavior.

Conclusions:

  • Macroscopic classical systems can serve as effective analogues for understanding and controlling quantum bit dynamics.
  • The developed classical qubit demonstrator provides a tangible platform for comprehending complex quantum phenomena.
  • This approach can contribute to the development and practical application of quantum technologies.