We review the application of discrete time crystals created in a Bose-Einstein condensate
(BEC) of ultracold atoms bouncing resonantly on an oscillating atom mirror to the …

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 propose a potentially practical scheme for the controllable single-photon transport via
waveguides which are coupled to a microcavity–emitter system. The microcavity–emitter …

A cat state is formed as the steady-state solution for the signal mode of an ideal degenerate
parametric oscillator, in the limit of negligible single-photon signal loss. In the presence of …

We give a detailed theoretical derivation of the master equation for the coherent Ising
machine. This is a quantum computational network with feedback, that approximately solves …

A cat state is a superposition of two coherent states with amplitudes α 0 and− α 0. Recent
experiments create cat states in a microwave cavity field using superconducting circuits. As …

Discrete time crystals (DTCs) refer to a novel many-body steady state that spontaneously
breaks the discrete time-translational symmetry in a periodically driven quantum system …

A new, to the best of our knowledge, technique is demonstrated for carrying out exact
positive-P phase-space simulations of the coherent Ising machine quantum computer. By …

In the present chapter we concentrate on periodically driven systems. Although such
systems possess already discrete time translation symmetry, we will see that this symmetry …

The xSPDE toolbox treats stochastic partial and ordinary differential equations, with
applications in biology, chemistry, engineering, medicine, physics and quantum …