%0 Journal Article %1 Tan2008Large %A Tan, Shina %D 2008 %J Annals of Physics %K contact, fermi\_gases %N 12 %P 2971--2986 %R 10.1016/j.aop.2008.03.005 %T Large momentum part of a strongly correlated Fermi gas %U http://dx.doi.org/10.1016/j.aop.2008.03.005 %V 323 %X It is well known that the momentum distribution of the two-component Fermi gas with large scattering length has a tail proportional to 1/k4 at large k. We show that the magnitude of this tail is equal to the adiabatic derivative of the energy with respect to the reciprocal of the scattering length, multiplied by a simple constant. This result holds at any temperature (as long as the effective interaction radius is negligible) and any large scattering length; it also applies to few-body cases. We then show some more connections between the 1/k4 tail and various physical quantities, including the pressure at thermal equilibrium and the rate of change of energy in a dynamic sweep of the inverse scattering length.

@article{Tan2008Large, abstract = {It is well known that the momentum distribution of the two-component Fermi gas with large scattering length has a tail proportional to 1/k4 at large k. We show that the magnitude of this tail is equal to the adiabatic derivative of the energy with respect to the reciprocal of the scattering length, multiplied by a simple constant. This result holds at any temperature (as long as the effective interaction radius is negligible) and any large scattering length; it also applies to few-body cases. We then show some more connections between the 1/k4 tail and various physical quantities, including the pressure at thermal equilibrium and the rate of change of energy in a dynamic sweep of the inverse scattering length.}, added-at = {2014-01-09T15:14:33.000+0100}, author = {Tan, Shina}, biburl = {https://www.bibsonomy.org/bibtex/28bf9ead403d7eb390b51cadc95cf636c/jaspervh}, citeulike-article-id = {10000769}, citeulike-linkout-0 = {http://dx.doi.org/10.1016/j.aop.2008.03.005}, doi = {10.1016/j.aop.2008.03.005}, interhash = {4e67b4dc83601353d587884573cbbb93}, intrahash = {8bf9ead403d7eb390b51cadc95cf636c}, issn = {00034916}, journal = {Annals of Physics}, keywords = {contact, fermi\_gases}, month = dec, number = 12, pages = {2971--2986}, posted-at = {2011-11-07 15:26:58}, priority = {2}, timestamp = {2014-01-09T15:14:33.000+0100}, title = {Large momentum part of a strongly correlated Fermi gas}, url = {http://dx.doi.org/10.1016/j.aop.2008.03.005}, volume = 323, year = 2008 }