Universal correlations of trapped one-dimensional impenetrable bosons

Details Universal correlations of trapped one-dimensional impenetrable bosons Universal correlations of trapped one-dimensional impenetrable bosons

2004-04-05

arxiv.org/abs/cond-mat/0404104v4

J.Phys. A37 (2004) 9335-9356

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

18 pages, 3 figures. Published version

Scientific paper

10.1088/0305-4470/37/40/002

We calculate the asymptotic behaviour of the one body density matrix of one-dimensional impenetrable bosons in finite size geometries. Our approach is based on a modification of the Replica Method from the theory of disordered systems. We obtain explicit expressions for oscillating terms, similar to fermionic Friedel oscillations. These terms are universal and originate from the strong short-range correlations between bosons in one dimension.

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