arXiv:cond-mat/0606319 · New Journal of Physics

Off-diagonal correlations of lattice impenetrable bosons in one dimension

Dimitri M. Gangardt, Gora V. Shlyapnikov

Published Aug 30, 2006• 20 citations

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 a (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.

DOI: 10.1088/1367-2630/8/8/167

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