This paper reviews recent experimental and theoretical progress concerning many-body
phenomena in dilute, ultracold gases. It focuses on effects beyond standard weak-coupling …

After reviewing the ideal Bose-Einstein gas in a box and in a harmonic trap, the effect of
interactions on the formation of a Bose-Einstein condensate are discussed, along with the …

Any state of matter is classified according to its order, and the type of order that a physical
system can possess is profoundly affected by its dimensionality. Conventional long-range …

One of the most striking quantum effects in an interacting Bose gas at low temperature is
superfluidity. First observed in liquid 4He, this phenomenon has been intensively studied in …

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 …

Phase transitions are ubiquitous in nature, and can be arranged into universality classes
such that systems having unrelated microscopic physics show identical scaling behaviour …

The nonlinear propagation of coherent optical fields has been extensively explored in the
framework of nonlinear optics, while the linear propagation of incoherent fields has been …

The theoretical description of trapped weakly interacting Bose–Einstein condensates is
characterized by a large number of seemingly very different approaches which have been …

This book introduces the theoretical description and properties of quantum fluids. The focus
is on gaseous atomic Bose–Einstein condensates and, to a minor extent, superfluid helium …

We give in this lecture an introduction to the physics of two-dimensional (2d) Bose gases.
We first discuss the properties of uniform, infinite 2d Bose fluids at non-zero temperature T …