Exploring the Phase Diagram of the Onsager-Villain Model using Quantum Annealers
ORAL
Abstract
The Onsager-Villain model is an exactly solvable two-dimensional model with a tunable degree of frustration. The tuning parameter, $s$, interpolates between Villain's fully frustrated model and the nearest-neighbor ferromagnetic Ising model. This model exhibits a nontrivial phase diagram in the $s$-$T$ plane, where $T$ denotes the temperature. By adjusting the energy scale of the quantum annealing device, we effectively simulate various temperatures and reproduce the phase diagram using D-Wave's quantum annealing device as an approximate Boltzmann sampler. Leveraging the exact solution of the model, we benchmark the device's performance by obtaining physically relevant quantities such as magnetization, heat capacity and susceptibility.
*The authors acknowledge the support of NNSA for the U.S. DoE at LANL under Contract No. DE-AC52-06NA25396, and Laboratory Directed Research and Development (LDRD) for support through 20240032DR. LANL is managed by Triad National Security, LLC, for the National Nuclear Security Administration of the U.S. DOE under contract 89233218CNA000001.
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Publication: Manuscript in preparation
Presenters
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Pratik Sathe
- Los Alamos National Laboratory (LANL)