Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2007-12-21
Physics
Condensed Matter
Statistical Mechanics
5 figures
Scientific paper
10.1103/PhysRevA.77.043632
A variational Monte Carlo calculation of the one-body density matrix and momentum distribution of a system of Fermi hard rods (HR) is presented and compared with the same quantities for its bosonic counterpart. The calculation is exact within statistical errors since we sample the exact ground state wave function, whose analytical expression is known. The numerical results are in good agreement with known asymptotic expansions valid for Luttinger liquids. We find that the difference between the absolute value of the bosonic and fermionic density matrices becomes marginally small as the density increases. In this same regime, the corresponding momentum distributions merge into a common profile that is independent of the statistics. Non-analytical contributions to the one--body density matrix are also discussed and found to be less relevant with increasing density.
Astrakharchik G. E.
Boronat Jordi
Casulleras Joaquim
Mazzanti F.
No associations
LandOfFree
Off-diagonal Ground State Properties of a 1D Gas of Fermi Hard Rods 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 Off-diagonal Ground State Properties of a 1D Gas of Fermi Hard Rods, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Off-diagonal Ground State Properties of a 1D Gas of Fermi Hard Rods will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-695602