1,732 research outputs found
Universal Sound Absorption in Amorphous Solids: A Theory of Elastically Coupled Generic Blocks
Glasses are known to exhibit quantitative universalities at low temperatures,
the most striking of which is the ultrasonic attenuation coefficient 1/Q. In
this work we develop a theory of coupled generic blocks with a certain
randomness property to show that universality emerges essentially due to the
interactions between elastic blocks, regardless of their microscopic nature.Comment: (Revised) 16 pages, 2 figures. To appear in Journal of
Non-Crystalline Solid
Universal Properties of the Ultra-Cold Fermi Gas
We present some general considerations on the properties of a two-component
ultra-cold Fermi gas along the BEC-BCS crossover. It is shown that the
interaction energy and the ground state energy can be written in terms of a
single dimensionless function , where and
. The function incorporates all the many-body physics
and naturally occurs in other physical quantities as well. In particular, we
show that the RF-spectroscopy shift \bar{\d\o}(\xi,\tau) and the molecular
fraction in the closed channel can be expressed in terms of
and thus have identical temperature dependence. The conclusions
should have testable consequences in future experiments
BEC-BCS Crossover with Feshbach Resonance for a Three-Hyperfine-Species Model
We consider the behavior of an ultracold Fermi gas across a narrow Feshbach
resonance, where the occupation of the closed channel may not be negligible.
While the corrections to the single-channel formulae associated with the
nonzero chemical potential and with particle conservation have been considered
in the existing literature, there is a further effect, namely the
"inter-channel Pauli exclusion principle" associated with the fact that a
single hyperfine species may be common to the two channels. We focus on this
effect and show that, as intuitively expected, the resulting corrections are of
order , where is the Fermi energy of the gas in the absence of
interactions and is the Zeeman energy difference between the two
channels. We also consider the related corrections to the fermionic excitation
spectrum, and briefly discuss the collective modes of the system
- …