Simulating the classical XY model with a laser network
arXiv:1608.00358
Abstract
Drawing fair samples from the Boltzmann distribution of a statistical model is a challenging task for modern digital computers. We propose a physical implementation of a Boltzmann sampler for the classical XY model by using a laser network. The XY spins are mapped onto the phases of multiple laser pulses in a fiber ring cavity and the steady-state distribution of phases naturally realizes the Boltzmann distribution of the corresponding XY model. We experimentally implement the laser network by using an actively mode-locked fiber laser with optical delay lines, and demonstrate Boltzmann sampling for a one-dimensional XY ring.
5 pages, 5 figures in main text; 6 pages, 3 figures in supplemental material
Cited by in corpus (5)
- Dissipative Topological Defects in Coupled Laser Networks
- Heisenberg scaling with classical long-range correlations
- Boltzmann sampling for an XY model using a non-degenerate optical parametric oscillator network
- 10-GHz-clock time-multiplexed non-degenerate optical parametric oscillator network with a variable planar lightwave circuit interferometer
- Minor embedding with Stuart-Landau oscillator networks