Simulating Ising and n -State Planar Potts Models and External Fields with Nonequilibrium Condensates

Kirill P. Kalinin, Natalia G. Berloff

    Research output: Contribution to journalArticlepeer-review

    35 Citations (Scopus)

    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 optimization problems can be formulated as a minimization 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 nonequilibrium Bose-Einstein condensates. The underlying operational principle originates from a combination of resonant and nonresonant 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.

    Original languageEnglish
    Article number235302
    JournalPhysical Review Letters
    Volume121
    Issue number23
    DOIs
    Publication statusPublished - 4 Dec 2018

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