Generalized harmonic-fluid approach for the off-diagonal correlations of a one-dimensional interacting Bose gas
Abstract
We develop a generalized harmonic-fluid approach, based on a regularization of the effective low-energy Luttinger-liquid Hamiltonian, for a one-dimensional Bose gas with repulsive contact interactions. The method enables us to compute the complete series corresponding to the large-distance, off-diagonal behavior of the one-body density matrix for any value of the Luttinger parameter K. We compare our results with the exact ones known in the Tonks-Girardeau limit of infinitely large interactions (corresponding to K=1) and, different from the usual harmonic-fluid approach, we recover the full structure of the series. The structure is conserved for arbitrary values of the interaction strength, with power laws fixed by the universal parameter K and a sequence of subleading corrections.
Keywords
Cite
@article{arxiv.0904.4856,
title = {Generalized harmonic-fluid approach for the off-diagonal correlations of a one-dimensional interacting Bose gas},
author = {N. Didier and A. Minguzzi and F. W. J. Hekking},
journal= {arXiv preprint arXiv:0904.4856},
year = {2010}
}
Comments
5 pages, 1 figure