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P: Fachverband Plasmaphysik

P 4: Theory of Quantum Plasmas I

P 4.1: Hauptvortrag

Montag, 17. März 2014, 14:00–14:30, SPA HS202

Collective modes of nonideal quantum systems in traps: from nanoplasmas to cold atoms — •Jan Willem Abraham and Michael Bonitz — Institut für theor. Physik und Astrophysik, CAU Kiel

We present a systematic approach to the theoretical description of the quantum breathing mode (QBM) – the radial expansion and contraction of a trapped system. In contrast to macroscopic systems, trapped systems are dominated by strong spatial inhomogeneity and finite size effects. While trapped classical particles are meanwhile well understood and accessible to first-principle computer simulations, their quantum counterparts still pose big challenges. In recent years numerous theoretical studies have demonstrated that the QBM is ideally suited to measure the coupling strength of a trapped system, its mean kinetic and interaction energy and other key observables [1]. In this talk, we show our results for trapped fermions and bosons with Coulomb and dipole interaction, respectively. We relate the breathing frequencies to the properties of the initial equilibrium system, giving rise to the application of the quantum mechanical sum rules. We demonstrate how an improved version of the conventional sum rule formulas is suitable for an accurate description of the QBM in one- and two-dimensional systems [2, 3].

[1] C.R. McDonald et al., Phys. Rev. Lett. 111, 256801 (2013) [2] J.W. Abraham et al., New J. Phys. 16 013001 (2014) [3] J.W. Abraham et al., Contrib. Plasma Phys., in press