While the squeezing of a propagating field can, in principle, be made arbitrarily strong, the
cavity-field squeezing is subject to the well-known 3 dB limit, and thus has limited …

We present a fully quantum mechanical treatment of the nondegenerate optical parametric
oscillator both below and near threshold. This is a nonequilibrium quantum system with a …

We demonstrate a complete, probabilistic quantum dynamical simulation of the standard
nonlinear Hamiltonian of optomechanics, including decoherence at finite temperatures …

We present the quantum theory of coherent Ising machines based on networks of
degenerate optical parametric oscillators (DOPOs). In a simple model consisting of two …

We uncover a new type of unitary operation for quantum mechanics on the half-line which
yields a transformation to'hyperbolic phase space'(η, p η). We show that this new unitary …

We consider a nondegenerate three-level cascade laser with a subthreshold
nondegenerate parametric oscillator coupled to a vacuum reservoir. Applying the pertinent …

We explore the extent of the induced entanglement of the mechanical modes that can be
attributed to the transfer of coherence from two-mode cavity radiation in a doubly resonant …

The quantum features of ultrashort-pulse optical parametric oscillators (OPOs) are
investigated theoretically in the nonlinear regime near and above threshold. Viewing the …

We develop a method of simulating the full quantum field dynamics of multi-mode multi-
component Bose-Einstein condensates in a trap. We use the truncated Wigner …

We develop a systematic theory of critical quantum fluctuations in the driven parametric
oscillator. Our analytic results agree well with stochastic numerical simulations. We also …