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Researchers created programmable non-local interactions in atomic ensembles using photons. This allows engineering novel quantum system geometries for advanced quantum simulation and computation, distinct from physical layouts.

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Area of Science:

  • Quantum Information Science
  • Atomic, Molecular, and Optical (AMO) Physics
  • Condensed Matter Theory

Background:

  • Quantum systems rely on interactions for information flow and correlation, typically decaying with distance.
  • Many quantum simulation and computation applications require complex, non-local interactions not found in simple geometries.
  • Previous methods were limited in creating tunable, non-local interactions for exploring exotic quantum phenomena.

Purpose of the Study:

  • To realize programmable non-local interactions in an array of atomic ensembles within an optical cavity.
  • To engineer effective geometries with tunable dimensionality, topology, and metric, distinct from the physical arrangement.
  • To demonstrate the capability of simulating complex quantum systems and exploring novel quantum phenomena.

Main Methods:

  • Utilizing an optical cavity to mediate interactions between atomic spins via photons.
  • Programming the distance dependence of photon-mediated interactions to control connectivity.
  • Engineering specific interaction graphs such as antiferromagnetic triangular ladders, Möbius strips, and treelike geometries.

Main Results:

  • Successfully implemented programmable non-local interactions in a controllable quantum system.
  • Demonstrated the ability to engineer effective geometries with properties distinct from the physical array.
  • Created examples including a treelike graph relevant to holographic duality and quantum gravity.

Conclusions:

  • This work enables the simulation of frustrated magnets, topological phases, and quantum optimization problems.
  • Programmable non-local interactions open new avenues for quantum sensing and computation.
  • The engineered treelike geometry serves as a toy model for holographic duality and emergent higher dimensions.