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The spin state of an NMR-active nucleus can have a slight effect on its immediate electronic environment. This effect propagates through the intervening bonds and affects the electronic environments of NMR-active nuclei up to three bonds away; occasionally, even farther. This phenomenon is called spin–spin coupling or J-coupling. Coupling interactions are mutual and result in small changes in the absorption frequencies of both nuclei involved. While nuclei of the same element are involved...
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Programmable All-Optical Spin Simulator with Artificial Gauge Fields.

Simon Mahler1, Eran Bernstein1, Sagie Gadasi1

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Summary
This summary is machine-generated.

Researchers demonstrated Hermitian coupling in laser arrays, enabling precise control over phase-locking and chirality. This work paves the way for optical spin simulators.

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Area of Science:

  • Quantum optics
  • Laser physics
  • Condensed matter physics

Background:

  • Laser coupling is crucial for high-power lasers and studying complex systems.
  • Controlling coupling parameters is key to manipulating laser array behavior.

Purpose of the Study:

  • To investigate Hermitian coupling in various laser array geometries.
  • To demonstrate precise control over laser coupling amplitude and phase.
  • To generate artificial gauge fields and explore topological phenomena.

Main Methods:

  • Implemented Hermitian coupling in square, triangular, and ring laser arrays.
  • Achieved arbitrary laser coupling with high precision (2π/120 radians) in a square array.
  • Controlled laser chirality with 99% purity in a triangular array.
  • Introduced artificial gauge fields in a ring array to study topological phase transitions.

Main Results:

  • Attained arbitrary phase-locking states in a 100-laser square array.
  • Demonstrated controlled chirality in a 130-laser triangular array.
  • Observed discrete quantized transitions between topological phase-locking states in an eight-laser ring array.

Conclusions:

  • Hermitian coupling offers precise control over laser arrays.
  • This technique enables the generation of artificial gauge fields and exploration of topological states.
  • The findings support the development of all-optical spin simulators for programmable coupling systems.