Physics – Condensed Matter – Quantum Gases
Scientific paper
2009-04-30
Phys. Rev. A 80, 033608 (2009)
Physics
Condensed Matter
Quantum Gases
5 pages, 1 figure
Scientific paper
10.1103/PhysRevA.80.033608
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.
Didier Nicolas
Hekking Frank W. J.
Minguzzi Anna
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