This article reviews recent theoretical and experimental advances in the fundamental
understanding and active control of quantum fluids of light in nonlinear optical systems. In …

The relaxation of isolated quantum many-body systems is a major unsolved problem
connecting statistical and quantum physics. Studying such relaxation processes remains a …

The mathematical study of the Bose gas goes back to the? rst quarter of the twentieth
century, with the invention of quantum mechanics. The name refers to the Indian physicist …

Long-range interactions in quantum gases are predicted to give rise to an excitation
spectrum of roton character, similar to that observed in superfluid helium. We investigated …

We derive exact general relations between various observables for N spin-1/2 fermions with
zero-range or short-range interactions, in continuous space or on a lattice, in two or three …

We study the properties of a weakly interacting Bose-Einstein condensate (BEC) in a flat
band lattice system by using the multiband Bogoliubov theory and discover fundamental …

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

We derive exact general relations between various observables for N bosons with zero-
range interactions, in two or three dimensions, in an arbitrary external potential. Some of our …

Bose-Einstein condensates (BEC's) have recently been the subject of considerable study as
possible analog models of general relativity. In particular it was shown that the propagation …

We apply the microscopic Bogoliubov theory of dilute Bose-Einstein condensates to analyze
quantum and thermal fluctuations in a flowing atomic condensate in the presence of a sonic …