This review focuses on the field of quantum entanglement applied to condensed matter
physics systems with strong correlations, a domain which has rapidly grown over the last …

Long-range interactions are relevant for a large variety of quantum systems in quantum
optics and condensed matter physics. In particular, the control of quantum–optical platforms …

These lecture notes introduce quantum spin systems and several computational methods for
studying their ground‐state and finite‐temperature properties. Symmetry‐breaking and …

We use the density matrix renormalization group method to calculate several energy
eigenvalues of the frustrated S= 1/2 square-lattice J 1-J 2 Heisenberg model on 2 L× L …

We consider the Ising model in a transverse field with long-range antiferromagnetic
interactions that decay as a power law with their distance. We study both the phase diagram …

We propose to use Ramsey interferometry and single-site addressability, available in
synthetic matter such as cold atoms or trapped ions, to measure real-space and time …

Several recent experiments in atomic, molecular, and optical systems motivated a huge
interest in the study of quantum long-range systems. Our goal in this paper is to present a …

Continuous symmetry breaking (CSB) in low-dimensional systems, forbidden by the Mermin-
Wagner theorem for short-range interactions, may take place in the presence of slowly …

The Landau-Ginzburg-Wilson theory of phase transitions precludes a continuous transition
between two phases that spontaneously break distinct symmetries. However, quantum …

Abstract The Mermin-Wagner theorem states that spontaneous continuous symmetry
breaking is prohibited in systems with short-range interactions at spatial dimension D≤ 2 …