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 …

We consider fermionic polar molecules in a bilayer geometry where they are oriented
perpendicularly to the layers, which permits both low inelastic losses and superfluid pairing …

We consider a layered system of fermionic molecules with permanent dipole moments
aligned perpendicular to the layers by an external field. The dipole interactions between …

We present analysis of a single-channel interacting quantum wire problem in the presence
of spin-orbit interaction. The spin-orbit coupling breaks the spin-rotational symmetry from SU …

We consider a finite classical system of electric dipoles localized at the sites of a regular one-
dimensional crystal lattice. It is shown that the ground state energy of such a system can be …

We investigate the scaling of the bipartite entanglement entropy across Lifshitz quantum
phase transitions, where the topology of the Fermi surface changes without any changes in …

We model a system of ultracold fermionic dipolar molecules on a two-dimensional square
lattice. Assuming that the molecules are in their nondegenerate hyperfine ground state, and …

We analyze the temperature and doping dependence of the specific heat C (T) in Na x CoO
2. This material was conjectured to undergo a Lifshitz-type topological transition at x= xc …

Recently, the physics of J= 3/2 electrons on a honeycomb lattice has received attention with
the suggestion of hosting an SU (8) Dirac semimetallic state. Motivated by this, in this work …

Ultracold polar molecules offer a multitude of fascinating possibilities for physical research.
Proposals for their use reach from quantum chemistry, where they enable detailed studies of …