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Spatial Optical Simulator for Classical Statistical Models.

Song-Tao Yu1, Ming-Gen He1, Sheng Fang1,2

  • 1Hefei National Research Center for Physical Sciences at the Microscale and School of Physical Sciences, <a href="https://ror.org/04c4dkn09">University of Science and Technology of China</a>, Hefei 230026, China.

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|December 23, 2024
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This summary is machine-generated.

Researchers developed a spatial optical simulator using a digital micromirror device to model diverse classical statistical systems. This advanced simulator precisely encodes spins and realizes interactions, enabling the observation of phase transitions in various models.

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Area of Science:

  • Statistical Physics
  • Quantum Optics
  • Computational Physics

Background:

  • Optical simulators show potential for solving complex physics problems.
  • Previous simulators were limited in the types of statistical models they could handle.

Purpose of the Study:

  • To develop a versatile spatial optical simulator for classical statistical systems.
  • To utilize a digital micromirror device (DMD) for precise spin encoding and interaction realization.

Main Methods:

  • Employing a superpixel approach on a DMD to encode spins with desired amplitudes or phases.
  • Modulating light fields with designed patterns to achieve spin-spin interactions while preserving Hamiltonian symmetries.
  • Simulating systems on fully connected networks with varying interaction types (ferromagnetic, random).

Main Results:

  • Successfully simulated the clock, XY, Potts, and Heisenberg models.
  • Observed phase transitions between paramagnetic and ferromagnetic or spin-glass phases.
  • Demonstrated the simulator's capability for both uniform and random interactions.

Conclusions:

  • The developed spatial optical simulator significantly broadens the scope of optical simulation for statistical physics.
  • This technology offers versatile applications for studying complex classical statistical systems.
  • The precise control over spin encoding and interactions paves the way for future advancements in optical computing.