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Simulating Ising and n-State Planar Potts Models and External Fields with Nonequilibrium Condensates.
Kirill P Kalinin1, Natalia G Berloff1,2
1Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge CB3 0WA, United Kingdom.
Physical Review Letters
|December 22, 2018
Summary
Researchers demonstrate simulating complex spin models, like the Ising and Potts models, using physical platforms such as lasers and Bose-Einstein condensates. This approach offers a new method for solving challenging optimization problems.
Area of Science:
- Quantum physics
- Computational physics
- Materials science
Background:
- Classical spin models are crucial for understanding complex physical systems and optimization problems.
- Many real-world optimization challenges can be framed as minimizing spin Hamiltonians.
Purpose of the Study:
- To demonstrate the simulation of discrete Ising and n-state planar Potts models using physical gain-dissipative platforms.
- To explore the use of continuous-phase systems like lasers and Bose-Einstein condensates for simulating spin models.
Main Methods:
- Utilizing physical gain-dissipative platforms with continuous phases.
- Employing a combination of resonant and nonresonant pumping as the operational principle.
- Simulating discrete Ising and n-state planar Potts models with and without external fields.
Main Results:
- Successfully simulated discrete Ising and n-state planar Potts models.
- Showcased the feasibility of using lasers and nonequilibrium Bose-Einstein condensates for spin model simulations.
- Established a method applicable to Hamiltonians with complex, time-varying, and spatially dependent interactions.
Conclusions:
- Physical gain-dissipative platforms offer a viable approach for simulating complex spin models.
- The demonstrated method opens avenues for physical simulations of a wide range of Hamiltonians.
- This work provides a foundation for future research in quantum simulation and optimization.
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