@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} } @misc{BehrmannKohlmannRupprechtetal.2010, author = {Behrmann, G{\"u}nter C. and Kohlmann, Birgit and Rupprecht, Holger and Voigt, Sylvia and Paulisch, Antje and Piegler, Sandra and Falk, Andr{\´e} and Kozakowski, Melanie and Heike, Sylvester and Eisner, Beate and John, Peter and Wilkens, Martin and Lohwaßer, Roswitha and Schr{\"u}nder-Lenzen, Agi and Lauterbach, Wolfgang and Schubarth, Wilfried}, title = {Portal alumni}, series = {Das Ehemaligen-Magazin der Universit{\"a}t Potsdam}, journal = {Das Ehemaligen-Magazin der Universit{\"a}t Potsdam}, number = {8}, organization = {Stabsstelle Studierendenmarketing/Alumniprogramm Im Auftrag der Pr{\"a}sidentin der Universit{\"a}t Potsdam}, issn = {1613-2343}, doi = {10.25932/publishup-44458}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus4-444587}, pages = {59}, year = {2010}, abstract = {Das gerade begonnene Jahr wird f{\"u}r die Universit{\"a}t Potsdam ein besonderes werden, ist es doch das 20. Jahr ihres Bestehens. Auf das Erreichte ist die Hochschule mit Recht stolz. Die Universit{\"a}t Potsdam ist f{\"u}r Studieninteressierte ungebrochen attraktiv, was die steigenden Bewerberzahlen zeigen. Allein im vergangenen Jahr haben Uni-Wissenschaftler knapp 42 Millionen Euro Drittmittel eingeworben und die Liste gemeinsamer Verbundprojekte mit außeruniversit{\"a}ren Forschungseinrichtungen der Region w{\"a}chst weiter. Zu den Erfolgen z{\"a}hlt weiterhin auch die steigende Anzahl von Absolventinnen und Absolventen der Hochschule. In die Gr{\"u}ndung der Universit{\"a}t Potsdam am 15. Juli 1991 flossen zwei Vorg{\"a}ngereinrichtungen ein. Die wichtigste war die Brandenburgische Landeshochschule, vorher P{\"a}dagogische Hochschule, die {\"u}ber vier Jahrzehnte hinweg Lehrerinnen und Lehrer ausgebildet hat. Die Lehrerbildung hat auch f{\"u}r die Universit{\"a}t Potsdam profilbildenden Charakter, denn allein vier der f{\"u}nf Fakult{\"a}ten sind an der Lehrerbildung beteiligt und haben Generationen von jungen Leuten f{\"u}r den Lehrerberuf qualifiziert. Heute ist das Ziel aller an der Lehrerbildung Beteiligten, eine professionsorientierte, qualitativ hochwertige Lehrerbildung zu sichern, die sich an den Kompetenzen Erziehen, Unterrichten, Beraten, Betreuen, Innovieren und Organisieren orientiert. Eine besondere Herausforderung sieht die Universit{\"a}t Potsdam dabei in der Vernetzung von wissenschaftlicher Forschung und Lehrerbildung. Portal alumni stellt in der hier vorliegenden Ausgabe im Jubil{\"a}umsjahr zw{\"o}lf Absolventen der Lehrerbildung vor. Sie berichten aus jeweils individueller Perspektive, wie sie ihr Studium an der Universit{\"a}t Potsdam erlebt haben und wie es sie gepr{\"a}gt hat. Und nat{\"u}rlich stellt das Magazin zugleich aktuelle Entwicklungstrends in der Lehrerbildung vor. Wie in allen Heften zuvor berichten wir von der Alumni-Arbeit des Jahres 2010 und stellen H{\"o}hepunkte des Unialltags vor. Wir w{\"u}nschen Ihnen eine unterhaltsame Lekt{\"u}re und sind gespannt auf Ihr Feedback zu diesem Heft.}, language = {de} } @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} } @misc{EnderleinZimmermannPeteretal.2011, author = {Enderlein, Hinrich and Zimmermann, Matthias and Peter, Andreas and Micka, Bettina and Wilkens, Martin and Lohnwasser, Roswitha and Horn-Conrad, Antje}, title = {Portal = Gesichter und Geschichten einer jungen Universit{\"a}t}, number = {02/2011}, organization = {Universit{\"a}t Potsdam, Referat f{\"u}r Presse- und {\"O}ffentlichkeitsarbeit}, issn = {1618-6893}, doi = {10.25932/publishup-44045}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus4-440456}, pages = {42}, year = {2011}, abstract = {Aus dem Inhalt: - 20 Jahre Universit{\"a}t Potsdam - Gesichter und Geschichten einer jungen Universit{\"a}t}, language = {de} } @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} }