Rapid fair sampling of XY spin Hamiltonian with a laser simulator

Coupled oscillators such as lasers, OPO's and BEC polaritons can rapidly and efficiently dissipate into a stable phase locked state that can be mapped onto the minimal energy (ground state) of classical spin Hamiltonians. However, for degenerate or near degenerate ground state manifolds, statis...

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Bibliographic Details
Published in:arXiv.org 2019-12
Main Authors: Pal, Vishwa, Mahler, Simon, Chene Tradonsky, Friesem, Asher A, Davidson, Nir
Format: Article
Language:English
Subjects:
Energy dissipation
Ground state
Hamiltonian functions
Lasers
Lattices
Manifolds
Oscillators
Polaritons
Sampling
Simulation
Simulators
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Summary:Coupled oscillators such as lasers, OPO's and BEC polaritons can rapidly and efficiently dissipate into a stable phase locked state that can be mapped onto the minimal energy (ground state) of classical spin Hamiltonians. However, for degenerate or near degenerate ground state manifolds, statistical fair sampling is required to obtain a complete knowledge of the minimal energy state, which needs many repetitions of simulations under identical conditions. We show that with dissipatively coupled lasers such fair sampling can be achieved rapidly and accurately by exploiting the many longitudinal modes of each laser to form an ensemble of identical but independent simulators, acting in parallel. We fairly sampled the ground state manifold of square, triangular and Kagome lattices by measuring their coherence function identifying manifolds composed of a single, doubly degenerate, and highly degenerate ground states, respectively.
ISSN:2331-8422
DOI:10.48550/arxiv.1912.10689