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 …

Critical behavior is very common in many fields of science and a wide variety of many-body
systems exhibit emergent critical phenomena. The beauty of critical phase transitions lies in …

The contraction of tensor networks is a central task in the application of tensor network
methods to the study of quantum and classical many-body systems. In this paper, we …

Motivated by dipolar-coupled artificial spin systems, we present a theoretical study of the
classical J 1-J 2-J 3 Ising antiferromagnet on the kagome lattice. We establish the ground …

We propose a general approach to analyse diagonal ordering patterns in bosonic lattice
models with algebraically decaying density-density interactions on arbitrary lattices. The key …

We investigate the quantum phase diagram of the J 1-J 2-J 3 antiferromagnetic transverse-
field Ising model on the ruby lattice. In the low-field limit we derive an effective quantum …

We analyse the ground-state quantum phase diagram of hardcore Bosons interacting with
repulsive dipolar potentials. The bosons dynamics is described by the extended-Bose …

To gain a better understanding of the interplay between frustrated long-range interactions
and zero-temperature quantum fluctuations, we investigate the ground-state phase diagram …

The generating function for polygons on the square lattice has been known for many
decades and is closely related to the path integral formulation of a free fermion model. On …

We demonstrate that geometric frustration and long-range interactions both promote order-
by-disorder in the antiferromagnetic transverse-field Ising model on the ruby lattice. To this …