By Michiel Wouters (auth.), Alberto Bramati, Michele Modugno (eds.)

The research of quantum fluids, influenced by way of the invention of superfluidity in liquid helium, has skilled renewed curiosity after the statement of Bose-Einstein condensation (BEC) in ultra-cold atomic gases and the remark a brand new form of quantum fluid with particular features derived from its intrinsic out-of-equilibrium nature. the most goal of this booklet is to take a picture of the state of the art of this fast paced box with a different emphasis at the sizzling issues and new tendencies. Bringing jointly the main lively experts of the 2 parts (atomic and polaritonic quantum fluids), we predict that this e-book will facilitate the alternate and the collaboration among those groups engaged on topics with very robust analogies.

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Lewenstein, Disordered quantum gases under control. Nat. Phys. 6(2), 87–95 (2010) 45. V. Savona, Effect of interface disorder on quantum well excitons and microcavity polaritons. J. Phys. Condens. Matter 19(29), (2007) 46. V. Savona, C. Piermarocchi, A. Quattropani, P. Schwendimann, F. Tassone, Optical properties of microcavity polaritons. Phase Transit. 68(1, Part B), 169–279 (1999) 47. A. V. G. H. Liew, G. Malpuech, Polariton polarizationsensitive phenomena in planar semiconductor microcavities.

The physical consequences of the inhomogeneity are very different for systems at thermodynamic equilibrium and for nonequilibrium gases. In the case of cold atoms in equilibrium, the effect of a shallow quadratic trapping potential can in good approximation be described in the local density approximation. This means that the gas can be treated locally as homogeneous at a given chemical potential μ(r). This chemical potential varies in space as μ(r) = μ0 −Vext (r), where Vext is the trapping potential.

Phys. Rev. B, Condens. Matter Mater. Phys. 77(11), 115336 (2008) 32. G. Lagoudakis, M. Wouters, M. Richard, A. Baas, I. Carusotto, R. S. Dang, B. Deveaud-Pledran, Quantized vortices in an exciton-polariton condensate. Nat. Phys. 4(9), 706–710 (2008) 33. G. Lagoudakis, T. V. G. Rubo, R. André, B. Deveaud-Plédran, Observation of half-quantum vortices in an exciton-polariton condensate. Science 326(5955), 974–976 (2009) 34. G. Lagoudakis, T. V. G. Rubo, R. Andre, B. Deveaud-Pledran, Observation of half-quantum vortices in an exciton-polariton condensate.

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