Interference with atomic and molecular matter waves is a rich branch of atomic physics and
quantum optics. It started with atom diffraction from crystal surfaces and the separated …

Matter waves inside periodic potentials are well known from solid-state physics, where
electrons interacting with a crystal lattice are considered. Atomic Bose-Einstein condensates …

The entropy of a black hole and Hawking radiation should have the same temperature given
by the surface gravity, within a numerical factor of the order of unity. In addition, Hawking …

We review phase-space techniques based on the Wigner representation that provide an
approximate description of dilute ultra-cold Bose gases. In this approach the quantum field …

We analyze a recently proposed method to create fractional quantum Hall (FQH) states of
atoms confined in optical lattices [A. Sørensen, Phys. Rev. Lett. 94, 086803 (2005)] …

We study resonantly-paired s-wave superfluidity in a degenerate gas of two species
(hyperfine states labeled by↑,↓) of fermionic atoms when the numbers N↑ and N↓ of the …

The experimental and theoretical research of spin–orbit-coupled ultracold atomic gases has
advanced and expanded rapidly in recent years. Here, we review some of the progress that …

Bogoliubov theory for excitations in Bose-Einstein condensates was formulated over 50
years ago to qualitatively explain strongly interacting superfluids. Quantitative experimental …

Quantum critical points are characterized by scale-invariant correlations and therefore by
long-range entanglement. As such, they present fascinating examples of quantum states of …

We study the phonon fluxes emitted when the condensate velocity crosses the speed of
sound, ie, in backgrounds which are analogous to that of a black hole. We focus on …