Tan relations in one dimension

Details Tan relations in one dimension Tan relations in one dimension

2011-01-28

arxiv.org/abs/1101.5594v3

Annals of Physics 326 (2011), pp. 2544-2565

Physics

Condensed Matter

Quantum Gases

8 figures, 27 pages - Updated to status of published version

Scientific paper

10.1016/j.aop.2011.05.010

We derive exact relations that connect the universal $C/k^4$-decay of the momentum distribution at large $k$ with both thermodynamic properties and correlation functions of two-component Fermi gases in one dimension with contact interactions. The relations are analogous to those obtained by Tan in the three-dimensional case and are derived from an operator product expansion of the one- and two-particle density matrix. They extend earlier results by Olshanii and Dunjko [Phys. Rev. Lett. 91, 090401 (2003)] for the bosonic Lieb-Liniger gas. As an application, we calculate the pair distribution function at short distances and the dimensionless contact in the limit of infinite repulsion. The ground state energy approaches a universal constant in this limit, a behavior that also holds in the three-dimensional case. In both one and three dimensions, a Stoner instability to a saturated ferromagnet for repulsive fermions with zero range interactions is ruled out at any finite coupling.

Affiliated with

Also associated with

No associations

Rating

Tan relations in one dimension 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 Tan relations in one dimension, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Tan relations in one dimension will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-552707