Physics – Condensed Matter – Quantum Gases
Scientific paper
2009-10-28
Physics
Condensed Matter
Quantum Gases
14 pages, 7 figures
Scientific paper
We consider a cold gas of non-interacting fermions in a two dimensional harmonic trap with two different trapping frequencies $\omega_x \leq \omega_y$, and discuss the effect of rotation on the density profile. Depending on the rotation frequency $\Omega$ and the trap anisotropy $\omega_y/\omega_x$, the density profile assumes two qualitatively different shapes. For small anisotropy ($\omega_y/\omega_x \ll \sqrt{1+4 \Omega^2/\omega_x^2}$), the density consists of elliptical plateaus of constant density, corresponding to Landau levels and is well described by a two dimensional local density approximation. For large anisotropy ($\omega_y/\omega_x \gg \sqrt{1+4 \Omega^2/\omega_x^2}$), the density profile is Gaussian in the strong confining direction and semicircular with prominent Friedel oscillations in the weak direction. In this regime, a one dimensional local density approximation is well suited to describe the system. The crossover between the two regimes is smooth where the step structure between the Landau level edges turn into Friedel oscillations. Increasing the temperature causes the step structure or the Friedel oscillations to wash out leaving a Boltzmann gas density profile.
Ghazanfari N.
Oktel Mehmet O.
No associations
LandOfFree
Rapidly Rotating Fermions in an Anisotropic Trap does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Rapidly Rotating Fermions in an Anisotropic Trap, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Rapidly Rotating Fermions in an Anisotropic Trap will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-718329