Generalized harmonic-fluid approach for the off-diagonal correlations of a one-dimensional interacting Bose gas
arXiv:0904.4856 · doi:10.1103/PhysRevA.80.033608
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.
5 pages, 1 figure
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Cited by in corpus (5)
- One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
- Exact prefactors in static and dynamic correlation functions of 1D quantum integrable models: applications to the Calogero-Sutherland, Lieb-Liniger and XXZ models
- Strongly interacting trapped one-dimensional quantum gases: an exact solution
- Caustics in the sine-Gordon model from quenches in coupled 1D Bose gases
- Mesoscopic electron transport and atomic gases, a review of Frank W. J. Hekking's scientific work