@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{AlbusIlluminatiWilkens2003,
  author    = {Albus, Alexander P. and Illuminati, Fabrizio and Wilkens, Martin},
  title     = {Ground-state properties of trapped Bose-Fermi mixtures: Role of exchange correlation},
  year      = {2003},
  language  = {en}
}
@article{BuschEnglertRzazewskietal.1998,
  author    = {Busch, Thomas and Englert, Bertold-Georg and Rzazewski, Kazimierz and Wilkens, Martin},
  title     = {Two cold atoms in a harmonic trap},
  year      = {1998},
  abstract  = {Two ultracold atoms moving in a trap interact weakly at a very short distance. This interaction can be modeled by a properly regularized contact potential. We solve the corresponding time-independent Schr{\"o}dinger equation under the assumption of a parabolic, spherically symmetric trapping potential.},
  language  = {en}
}
@article{EisertFelbingerPapadopolousetal.2000,
  author    = {Eisert, Jens and Felbinger, Timo and Papadopolous, P. and Plenio, M. B. and Wilkens, Martin},
  title     = {Classical information and distillable entanglement},
  year      = {2000},
  abstract  = {We establish a quantitative connection between the amount of lost classical information about a quantum state and the concomitant loss of entanglement. Using menthods that have been developed for the optimal purification of miced states, we find a class of miced states with known distillable entanglement. These results can be used to determine the quantum capacity of a quantum channel which randomizes the order of transmitted signals.},
  language  = {en}
}
@article{EisertWilkens2000,
  author    = {Eisert, Jens and Wilkens, Martin},
  title     = {Catlysis of Entanglement Manipulation for Mixed States},
  year      = {2000},
  abstract  = {We consider entanglement-assisted remote quantum state manipulation of bipartite mixed states. Several aspects are addressed: we present a class of mixed states of rank two that can be transformed into another class of mixed states under entanglement-assisted local operations with classical communication, but for which such a transformation is impossible without assistance. Furthermore, we demonstrate enhancement of the efficiency of purification protocols with the help of entanglement-assisted operations. Finally, transformations from one mixed state to mixed target states which are sufficiently close to the source state are contrasted with similar transformations in the pure-state case.},
  language  = {en}
}
@article{EisertWilkens2000,
  author    = {Eisert, Jens and Wilkens, Martin},
  title     = {Quantum games},
  year      = {2000},
  abstract  = {In these lecture notes we investigate the implications of the identification of strategies with quantum operations in game theory beyond the results presented in [J. Eisert, M. Wilkens, and M. Lewenstein, Phys. Rev. Lett. 83, 3077 (1999)]. After introducing a general framework, we study quantum games with a classical analogue in order to flesh out the peculiarities of game theoretical settings in the quantum domain. Special emphasis is given to a detailed investigation of different sets of quantum strategies.},
  language  = {en}
}
@article{EisertWilkensLewenstein1999,
  author    = {Eisert, Jens and Wilkens, Martin and Lewenstein, Maciej},
  title     = {Quantum Games and Quantum Strategies},
  year      = {1999},
  abstract  = {We investigate the quantization of nonzero sum games. For the particular case of the Prisoners' Dilemma we show that this game ceases to pose a dilemma if quantum strategies are allowed for. We also construct a particular quantum strategy which always gives reward if played against any classical strategy.},
  language  = {en}
}
@article{FelbingerSantosWilkensetal.2000,
  author    = {Felbinger, Timo and Santos, L. and Wilkens, Martin and Lewenstein, Maciej},
  title     = {Time Correlations of a laser-induced Bose-Einstein condensate},
  year      = {2000},
  abstract  = {We analyze the multi-time correlations of a laser-induced Bose Einstein condensate. We use quantum stochastic methods to obtain under certain circumstances a Fokker-Planck equation which describes the phase-difussion process, and obtain an analytical expression of the two-time correlations. We perform also quantum Monte Carlo numerical simulations of the correlations, which are in good agreement with the predicted analytical results.},
  language  = {en}
}
@article{FelbingerWilkens1999,
  author    = {Felbinger, Timo and Wilkens, Martin},
  title     = {Stochastic Wave-function Simulation of Two-time Correlation Functions},
  year      = {1999},
  abstract  = {We propose an algorithm for the numerical simulation of two-time correlation functions by means of stochastic wave function. As a first application, we investigate the two-time correlation function of a nonlinear optical parametric oscillator.},
  language  = {en}
}
@article{HenkelPoettingWilkens1999,
  author    = {Henkel, Carsten and Poetting, Sierk and Wilkens, Martin},
  title     = {Loss and heating of particles in small and noisy traps},
  year      = {1999},
  abstract  = {We derive the time and loss rate for a trapped atom that is coupled to fluctuating fields in the vicinity of a room-temperature metallic and/or dielectric surface. Our results indicate a clear predominance of near-field effects over ordinary blackbody radiation. We develop a theoretical framework for both charged ions and neutral atoms with and without spin. Loss processes that are due to a transition to an untrapped internal state are included.},
  language  = {en}
}