A Programmable and Reconfigurable Photonic Simulator for Classical XY Models

Abstract

In this work, we proposed and experimentally demonstrated a photonic simulator for XY models, which is a typical kind of classical spin models. By encoding the XY spins on the phase term of the input light field, the corresponding XY Hamiltonian could be performed on the output light intensities. The simulator is mainly based on a programmable and reconfigurable optical vector-matrix multiplication system, which can map arbitrary XY models within the dimensionality limit. Here, we demonstrated the Berezinskii-Kosterlitz-Thouless transition in a two-dimensional XY model, in which the expectation values of some observables are calculated and consistent with the theory. Besides, we performed the ground state search of two 25-spin XY models with different spin connections and coupling strengths. Our proposal paves a new way to investigate the XY spin system.

References in corpus (15)

• Deep Learning with Coherent Nanophotonic Circuits
• Universal Linear Optics
• Large-scale photonic Ising machine by spatial light modulation
• Realizing the $XY$ Hamiltonian in polariton simulators
• The two dimensional XY model at the transition temperature: A high precision Monte Carlo study
• Sub-1 Volt and High-Bandwidth Visible to Near-Infrared Electro-Optic Modulators
• Universality away from critical points in two-dimensional phase transitions
• The low-energy phase-only action in a superconductor: a comparison with the XY model
• Experimental Observation of Phase Transitions in Spatial Photonic Ising Machine
• A Polariton Graph Simulator
• Exact Mapping Between a Laser Network Loss Rate and the Classical XY Hamiltonian by Laser Loss Control
• Superfluid transition and specific heat of the 2D x-y model: Monte Carlo simulation
• On-demand Photonic Ising Machine with Simplified Hamiltonian Calculation by Phase encoding and Intensity Detection
• Universal linear optical operations on discrete phase-coherent spatial modes
• Programmable coherent linear quantum operations with high-dimensional optical spatial modes

Cited by in corpus (2)

• 16-channel Photonic Solver for Optimization Problems on a Silicon Chip
• Supersolid light in a semiconductor microcavity