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arXiv · 1806.11457

Simulating Ising and Potts models and external fields with non-equilibrium condensates

Kirill P. Kalinin·Natalia G. Berloff
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Abstract

Classical spin models with discrete or continuous degrees of freedom arise in many studies of complex physical systems. A wide class of hard real-life optimisation problems can be formulated as a minimisation of a spin Hamiltonian. Here we show how to simulate the discrete Ising and Potts models with or without external fields using the physical gain-dissipative platforms with continuous phases such as lasers and various non-equilibrium Bose-Einstein condensates. The underlying operational principle originates from a combination of resonant and non-resonant pumping. Our results lay grounds for the physical simulations of a broad range of Hamiltonians with complex interactions that can vary in time and space and with combined symmetries.

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Kirill P. Kalinin, Natalia G. Berloff. 2018-06-29. Simulating Ising and Potts models and external fields with non-equilibrium condensates. https://doi.org/10.1103/physrevlett.121.235302

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