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All-Optical Stern-Gerlach Effect.

Aviv Karnieli1, Ady Arie2

  • 1Raymond and Beverly Sackler School of Physics and Astronomy, Tel Aviv University, Ramat Aviv 69978, Tel Aviv, Israel.

Physical Review Letters
|February 27, 2018
PubMed
Summary
This summary is machine-generated.

We present a new optical formalism linking nonlinear optics to quantum mechanics. This enables an all-optical Stern-Gerlach effect, deflecting light beams using nonlinear coupling gradients.

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Area of Science:

  • Nonlinear Optics
  • Quantum Mechanics
  • Classical Electrodynamics

Background:

  • The paraxial coupled wave equations govern nonlinear optical processes like sum-frequency generation.
  • Quantum mechanics describes particle dynamics using equations such as the Pauli equation.

Purpose of the Study:

  • To establish a novel formalism equating nonlinear optical sum-frequency generation with the Pauli equation.
  • To introduce a new classical state of paraxial light and propose an all-optical Stern-Gerlach effect.

Main Methods:

  • Developing a theoretical framework that demonstrates the equivalence between nonlinear optical wave equations and the Pauli equation.
  • Utilizing this formalism to analytically derive the deflection angle and far-field intensity patterns for the proposed optical effect.

Main Results:

  • A direct equivalence is shown between the paraxial coupled wave equations for sum-frequency generation and the Pauli equation for a spin-1/2 particle.
  • A new classical state of paraxial light, a mutual beam of two frequencies, is described.
  • The theoretical basis for an all-optical Stern-Gerlach effect is established, predicting beam deflection based on nonlinear coupling gradients.

Conclusions:

  • The established formalism provides a powerful analogy between nonlinear optics and quantum spin dynamics.
  • The proposed all-optical Stern-Gerlach effect offers a novel method for manipulating light beams using nonlinear interactions.
  • This work lays the foundation for experimental investigations into quantum-analogous phenomena in classical optics.