Analogue Spin Simulators: How to keep the Amplitude Homogeneous
arXiv:2306.05743 · doi:10.1103/PhysRevApplied.21.024057
Abstract
A setup that simulates ground states of spin graphs would allow one to solve computationally hard optimisation problems efficiently. Current optical setups to this goal have difficulties decoupling the amplitude and phase degrees of freedom of each effective spin; risking to yield the mapping invalid, a problem known as amplitude heterogeneity. Here, we propose a setup with coupled active optical cavity modes, where this problem is eliminated through their particular geometric arrangement. Acting as an effective Monte Carlo solver, the ground state can be found exactly. By tuning a parameter, the setup solves XY or Ising problems.
References in corpus (26)
- Quantum fluids of light
- Quantum simulation of frustrated magnetism in triangular optical lattices
- Quantum Simulators: Architectures and Opportunities
- Network of Time-Multiplexed Optical Parametric Oscillators as a Coherent Ising Machine
- Direct observation of Dirac cones and a flatband in a honeycomb lattice for polaritons
- Spontaneous rotating vortex lattices in a pumped decaying condensate
- Large-scale photonic Ising machine by spatial light modulation
- Realizing the Hamiltonian in polariton simulators
- Bifurcation-based adiabatic quantum computation with a nonlinear oscillator network: Toward quantum soft computing
- Destabilization of local minima in analog spin systems by correction of amplitude heterogeneity
- Simple universal models capture all classical spin physics
- Synchronized and desynchronized phases of coupled non-equilibrium exciton-polariton condensates
- Spin order and phase transitions in chains of polariton condensates
- Dissipative phase locking of exciton-polariton condensates
- Collective state transitions of exciton-polaritons loaded into a periodic potential
- Order-of-magnitude differences in computational performance of analog Ising machines induced by the choice of nonlinearity
- Simulating Ising and Potts models and external fields with non-equilibrium condensates
- Networks of non-equilibrium condensates for global optimization
- Can nonlinear parametric oscillators solve random Ising models?
- All-optical scalable spatial coherent Ising machine
- Optical computation of a spin glass dynamics with tunable complexity
- Polaritonic network as a paradigm for dynamics of coupled oscillators
- Solving NP-hard problems with bistable polaritonic networks
- Synchronization in disordered oscillatory media: a nonequilibrium phase transition for driven-dissipative bosons
- Classical critical dynamics in quadratically driven Kerr resonators
- All-to-all connected networks by multi-frequency excitation of polaritons