https://doi.org/10.1140/epjd/e2008-00107-2
Phase theory for binary one-dimensional Fermi gases in harmonic traps
Collective excitations spectra of mass and composition waves
Department of Physics, Universität Ulm, 89069 Ulm, Germany
Corresponding author: a wolfgang.wonneberger@uni-ulm.de
Received:
14
November
2007
Revised:
21
April
2008
Published online:
30
May
2008
The phase theory of two interacting one-dimensional degenerate Fermi gases confined to different harmonic traps is developed based on the concept of bosonization. The excitation spectra of mass and composition waves are calculated and stability boundaries as function of interaction strength and frequency detuning of the traps are found. The experimentally accessible non-local mobilities and their relation to the excitation frequencies are also studied. The problem of the Kohn mode within phase theory is discussed and a solution is proposed. As an example of the simplicity and effectiveness of the new approach the propagation of a composition perturbation across the Fermi seas is calculated analytically.
PACS: 71.10.Pm – Fermions in reduced dimensions (anyons, composite fermions, Luttinger liquid, etc.) / 05.30.Fk – Fermion systems and electron gas / 03.75.Ss – Degenerate Fermi gases
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2008
