Simulating Ising and n-state planar Potts models and external fields with nonequilibrium condensates
Physical Review Letters
American Physical Society
MetadataShow full item record
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
Recommended or similar items
The current recommendation prototype on the Apollo Repository will be turned off on 03 February 2023. Although the pilot has been fruitful for both parties, the service provider IKVA is focusing on horizon scanning products and so the recommender service can no longer be supported. We recognise the importance of recommender services in supporting research discovery and are evaluating offerings from other service providers. If you would like to offer feedback on this decision please contact us on: firstname.lastname@example.org