As the name implies, Monte Carlo (MC) methods employ random numbers to solve
problems. The range of problems that may be treated by MC is substantial; these include …

Quantum crystals abound in the whole range of solid-state species. Below a certain
threshold temperature the physical behavior of rare gases (He 4 and Ne), molecular solids …

Dipolar quantum droplets are exotic quantum objects that are self-bound due to the subtle
balance of attraction, repulsion, and quantum correlations. Here we present a systematic …

This is a review of recent developments in Monte Carlo methods in the field of ultracold
gases. For bosonic atoms in an optical lattice we discuss path-integral Monte Carlo …

The tunneling between the two ground states of an Ising ferromagnet is a typical example of
many-body tunneling processes between two local minima, as they occur during quantum …

Strongly interacting systems of dipolar bosons in three dimensions confined by harmonic
traps are analyzed using the exact path integral ground-state Monte Carlo method. By …

We discuss designer Hamiltonians—lattice models tailored to be free from sign problems
(“de-signed”) when simulated with quantum Monte Carlo (QMC) methods but which still host …

We study the superfluid properties of a system of fully polarized dipolar bosons moving in
the XY plane. We focus on the general case where the polarization field forms an arbitrary …

We determine the complexity of several constraint satisfaction problems using the quantum
adiabatic algorithm in its simplest implementation. We do so by studying the size …

Here we provide an overview of the status of the field of solid 4 He with a focus on the recent
theoretical and experimental activities stimulated by the 2004 experiments of Kim and Chan …