We extend the Projected Gross Pitaevskii equation formalism of Davis et al. [Phys. Rev. Lett. 87, 160402 (2001)] to the experimentally relevant case of harmonic potentials. We outline a robust and accurate numerical scheme that can efficiently simulate this system. We apply this method to investigate the equilibrium properties of a harmonically trapped three-dimensional Bose gas at finite tempe...

Bose-Einstein condensation (BEC) and evaporation of transverse photons from the Bose condensate is studied in the case when the density of plasma does not change. The generation of the longitudinal photons (photonikos) by the transverse photons (photons) in terms of the Cherenkov type of radiation in a uniform plasma is demonstrated. The Bogoliubov energy spectrum is derived for photonikos. A n...

The physical properties and stability of a trapped Bose{Einstein condensate are strongly innuenced by the presence of a net attractive interaction between the particles. In this Letter we describe the spatial distribution, stability, collisional loss rates, and lifetimes for this situation in a weakly interacting trapped atomic gas in the context of mean eld theory. The experimentally important...

We begin with the discussion of the relationship between the trace of the energy momentum tensor and the gluon condensate at finite temperatures. Using the recent numerical data from the simulations of lattice gauge theory for quantum chromodynamics(QCD) we present the computational evaluations for the gluon condensate. A short discussion of the properties of deconfinement and the implications ...

Elementary excitations of vortices placed in one component of a binary mixture of Bose-Einstein condensates have been studied using perturbative and numerical solutions of the linearised equations for excitations, and numerical simulation of the coupled Gross-Pitaevskii equations. Two distinct instabilities originating from resonances of the excitations have been found. One leads to the vortex ...

We provide a derivation of a more accurate version of the stochastic Gross– Pitaevskii equation, as introduced by Gardiner et al (2002 J. Phys. B: At. Mol. Opt. Phys. 35 1555). This derivation does not rely on the concept of local energy and momentum conservation and is based on a quasiclassical Wigner function representation of a ‘high temperature’ master equation for a Bose gas, which include...

Abstract We report on the different types of condensates possible in two-component atomic gas mixtures one dimension involving both bosons and fermions. When interactions are attractive, we show there is a rich variety coherent ground-state phases that vary with their intrinsic relative strength. avoid any artifacts lattice discretization by developing novel implementation continuous matrix-pro...

C. A. Sackett,1 H. T. C. Stoof,1,2 and R. G. Hulet1 1Physics Department and Rice Quantum Institute, Rice University, Houston, Texas 77251-1892 2Institute for Theoretical Physics, University of Utrecht, Princetonplein 5, 3584 CC Utrecht, The Netherlands (Received 23 October 1997) We consider the dynamics of a quantum degenerate trapped gas of 7Li atoms. Because the atoms have a negative s-wave s...

By exploiting the fact that the chiral condensate is related to the derivative of the free-energy density with respect to the bare quark mass we calculate the temperature dependence of the condensate ratio 〈q̄q〉T /〈q̄q〉0 from an iteracting pion gas. When using the Weinberg Lagrangian at the Hartree level we find a depression of the condensate with temperature. For T < 100 MeV the results are in g...