Simulating quantum mechanics is known to be a difficult computational problem, especially
when dealing with large systems. However, this difficulty may be overcome by using some …

Using a well-controlled quantum system to simulate complex quantum matter is an idea that
has been around for 30 years and put into practice in systems of ultracold atoms for more …

In this review we discuss the works in the area of quantum simulation and many-body
physics with light, from the early proposals on equilibrium models to the more recent works …

Quantum simulators are controllable quantum systems that can be used to simulate other
quantum systems. Being able to tackle problems that are intractable on classical computers …

Abstract The Jaynes‐Cummings model describes the coupling between photons and a
single two‐level atom in a simplified representation of light‐matter interactions. In circuit …

Quantum simulations consist in the intentional reproduction of physical or unphysical
models into another more controllable quantum system. Beyond establishing …

Numerical simulation of quantum systems is crucial to further our understanding of natural
phenomena. Many systems of key interest and importance, in areas such as …

We review recent developments regarding the quantum dynamics and many-body physics
with light, in superconducting circuits and Josephson analogues, by analogy with atomic …

The last two decades have seen tremendous advances in our ability to generate and
manipulate quantum coherence in mesoscopic superconducting circuits. These advances …

We propose a scheme to simulate one-dimensional XXZ-type Heisenberg spin models with
competing interactions between nearest neighbors (NNs) and next NNs in photon-coupled …