Excitations at the border of a condensate
arXiv:1504.03164 · doi:10.1088/0953-4075/48/16/165302
Abstract
We solve the Bogoliubov--de Gennes equations for an inhomogeneous condensate in the vicinity of a linear turning point. A stable integration scheme is developed using a transformation into an adiabatic basis. We identify boundary modes trapped in a potential whose shape is similar to a Hartree-Fock mean-field treatment. These modes are non-resonantly excited when bulk modes reflect at the turning point and contribute significantly to the spectrum of local density fluctuations.
References in corpus (16)
- Collective excitations of a trapped Bose-condensed gas
- Extension of Bogoliubov theory to quasi-condensates
- Sub-Poissonian fluctuations in a 1D Bose gas: from the quantum quasi-condensate to the strongly interacting regime
- Order Parameter at the Boundary of a Trapped Bose Gas
- Dynamics of Bose condensed gases in highly deformed traps
- Low-dimensional Bose gases
- Low-energy elementary excitations of a trapped Bose-condensed gas
- Phase fluctuations in atomic Bose gases
- Beyond the Thomas-Fermi approximation for a trapped condensed Bose-Einstein gas
- Local vortex nucleation and the surface mode spectrum of large condensates
- Thermodynamics of Strongly Correlated One-Dimensional Bose Gases
- Properties of edge states in spin-triplet two-band superconductor
- Experimental evidence for the breakdown of a Hartree-Fock approach in a weakly interacting Bose gas
- How to measure the Bogoliubov quasiparticle amplitudes in a trapped condensate
- Ground state correlations in a trapped quasi one-dimensional Bose Gas
- Exploring the growth of correlations in a quasi one-dimensional trapped Bose gas