Off-diagonal correlations of lattice impenetrable bosons in one dimension
Statistical Mechanics
2007-05-23 v2
Abstract
We consider off-diagonal correlation functions of impenetrable bosons on a lattice. By using the Jordan-Wigner transformation the one-body density matrix is represented as (Toeplitz) determinant of a matrix of fermionic Green functions. Using the replica method we calculate exactly the full long-range asymptotic behaviour of the one-body density matrix. We discuss how subleading oscillating terms, originating from short-range correlations give rise to interesting features in the momentum distribution.
Keywords
Cite
@article{arxiv.cond-mat/0606319,
title = {Off-diagonal correlations of lattice impenetrable bosons in one dimension},
author = {D. M. Gangardt and G. V. Shlyapnikov},
journal= {arXiv preprint arXiv:cond-mat/0606319},
year = {2007}
}
Comments
10 pages. Submitted to the Focus Issue on 'Cold Atoms in Optical Lattices' of New Journal of Physics