Off-diagonal correlations of lattice impenetrable bosons in one dimension

Details Off-diagonal correlations of lattice impenetrable bosons in one dimension Off-diagonal correlations of lattice impenetrable bosons in one dimension

2006-06-13

arxiv.org/abs/cond-mat/0606319v2

New Journal of Physics 8, 167 (2006)

Physics

Condensed Matter

Statistical Mechanics

10 pages. Submitted to the Focus Issue on 'Cold Atoms in Optical Lattices' of New Journal of Physics

Scientific paper

10.1088/1367-2630/8/8/167

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 (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.

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