Quantum Correlations in the Kerr Ising Model
arXiv:1910.08985 · doi:10.1088/1367-2630/ab7255
Abstract
In this article we present a full description of the quantum Kerr Ising model---a linear optical network of parametrically pumped Kerr non-linearities. We consider the non-dissapative Kerr Ising model and, using variational techniques, show that the energy spectrum is primarily determined by the adjacency matrix in the Ising model and exhibits highly non-classical cat like eigenstates. We then introduce dissipation to give a quantum mechanical treatment of the measurement process based on homodyne detection via the conditional stochastic Schrodinger equation. Finally we identify a quantum advantage in comparison to the classical analogue for the example of two anti-ferromagnetic cavities.
7 pages, 3 figures
References in corpus (6)
- Two-photon and three-photon blockades in driven nonlinear systems
- Switching via quantum activation: A parametrically modulated oscillator
- Quantum dynamics of a few-photon parametric oscillator
- State-dependent photon blockade via quantum-reservoir engineering
- Performance evaluation of coherent Ising machines against classical neural networks
- Gaussian Optical Ising Machines