Simulating Ising and n-state planar Potts models and external fields with nonequilibrium condensates
Physical Review Letters
American Physical Society
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Berloff, N., & Kalinin, K. (2018). Simulating Ising and n-state planar Potts models and external fields with nonequilibrium condensates. Physical Review Letters, 121 (235302)https://doi.org/10.1103/PhysRevLett.121.235302
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 n-state planar 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.
The authors acknowledge financial support from the NGP MIT-Skoltech. K.P.K. acknowledges the financial support from Cambridge Trust and EPSRC.
External DOI: https://doi.org/10.1103/PhysRevLett.121.235302
This record's URL: https://www.repository.cam.ac.uk/handle/1810/288156