@article{Gardiner2002,
  author    = {Gardiner, Simon A.},
  title     = {(Quantum) chaos in Bose-Einstein condensates},
  issn      = {0950-0340},
  year      = {2002},
  language  = {de}
}
@article{AlbusGardinerIlluminatietal.2002,
  author    = {Albus, Alexander P. and Gardiner, Simon A. and Illuminati, Fabrizio and Wilkens, Martin},
  title     = {Quantum field theory of dilute homogeneous Bose-Fermi-mixtures at zero temperature : general formalismand beyond mean-field corrections},
  year      = {2002},
  abstract  = {We consider a dilute homogeneous mixture of bosons and spin-polarized fermions at zero temperature. We first construct the formal scheme for carrying out systematic perturbation theory in terms of single particle Green's functions. We introduce a new relevant object, the renormalized boson-fermion T-matrix which we determine to second order in the boson-fermion s-wave scattering length. We also discuss how to incorporate the usual boson-boson T-matrix in mean-field approximation to obtain the total ground state properties of the system. The next order term beyond mean- field stems from the boson-fermion interaction and is proportional to \$a_{scriptsize BF}k_{scriptsize F}\$. The total ground-state energy-density reads \$E/V =epsilon_{scriptsize F} + epsilon_{scriptsize B} + (2pihbar^{2}a_{ m BF}n_{scriptsize B}n_{scriptsize F}/m) [1 + a_{scriptsize BF}k_{scriptsize F}f(delta)/pi]\$. The first term is the kinetic energy of the free fermions, the second term is the boson-boson mean-field interaction, the pre-factor to the additional term is the usual mean-field contribution to the boson-fermion interaction energy, and the second term in the square brackets is the second-order correction, where \$f(delta)\$ is a known function of \$delta= (m_{scriptsize B} - m_{scriptsize F})/(m_{scriptsize B} + m_{scriptsize F})\$. We discuss the relevance of this new term, how it can be incorporated into existing theories of boson-fermion mixtures, and its importance in various parameter regimes, in particular considering mixtures of \$^{6}\$Li and \$^{7}\$Li and of \$^{3}\$He and \$^{4}\$He.},
  language  = {en}
}
@article{HenkelGardinerNegretti2004,
  author    = {Henkel, Carsten and Gardiner, Simon A. and Negretti, Antonio},
  title     = {(De)coherence physics with condensates in microtraps},
  issn      = {1054-660X},
  year      = {2004},
  abstract  = {We discuss the dynamics of a condensate in a miniaturized electromagnetic trap formed above a microstructured substrate. Recent experiments have found that trap lifetimes get reduced when approaching the substrate because atoms couple to thermally excited near fields. The data agree quantitatively with our theory [Appl. Phys. B 69, 379 (1999)]. We focus on the decoherence of a quantum degenerate gas in a quasi-one-dimensional trap. Monte Carlo simulations indicate that atom interactions reduce the condensate decoherence rate. This is explained by a simple theory in terms of the suppression of long-wavelength excitations. We present preliminary simulation results for the adiabatic generation of dark solitons},
  language  = {en}
}
@article{HenkelGardiner2004,
  author    = {Henkel, Carsten and Gardiner, Simon A.},
  title     = {Decoherence of Bose-Einstein condensates in microtraps},
  year      = {2004},
  abstract  = {We discuss the impact of thermally excited near fields on the coherent expansion of a condensate in a miniaturized electromagnetic trap. Monte Carlo simulations are compared with a kinetic two-component theory and indicate that atom interactions can slow down decoherence. This is explained by a simple theory in terms of the condensate dynamic structure factor},
  language  = {en}
}