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Weak Values from Displacement Currents in Multiterminal Electron Devices.

D Marian1,2, N Zanghì1, X Oriols2

  • 1Dipartimento di Fisica dell'Università di Genova and INFN sezione di Genova, Via Dodecaneso 33, 16146 Genova, Italy.

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This study introduces a novel method for measuring electron momentum and position using weak values in electronic devices. The technique leverages displacement current measurements, offering new possibilities for quantum electronics and fundamental physics research.

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Area of Science:

  • Quantum mechanics
  • Condensed matter physics
  • Quantum information science

Background:

  • Weak values enable the measurement of noncommuting operators like position and momentum.
  • Current methods for position-momentum weak values are primarily developed for photons.
  • A gap exists in applying weak value measurements to electronic systems.

Purpose of the Study:

  • To propose a method for measuring position-momentum weak values in electronic devices.
  • To explore the application of the Ramo-Shockley-Pellegrini theorem in this context.
  • To demonstrate the feasibility of measuring Bohmian velocity using numerical experiments.

Main Methods:

  • Utilizing the Ramo-Shockley-Pellegrini theorem to relate current and electron velocity.
  • Measuring displacement current in multiterminal electronic configurations.
  • Developing a specific setup for measuring Bohmian velocity of nonrelativistic electrons.
  • Conducting numerical experiments to validate the proposed method.

Main Results:

  • Displacement current measurements can yield weak measurements of momentum or strong measurements of position.
  • A practical setup for measuring Bohmian velocity has been designed and numerically tested.
  • The proposed method is compatible with existing electronic technology.

Conclusions:

  • This work extends weak value measurements to electronic systems, bridging a significant gap in the field.
  • The proposed technique offers new avenues for fundamental and applied physics research using state-of-the-art electronics.
  • It paves the way for novel quantum measurements and device applications.