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Off-diagonal correlations of lattice impenetrable bosons in one dimension

D. M. Gangardt·G. V. Shlyapnikov
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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 (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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D. M. Gangardt, G. V. Shlyapnikov. 2006-07-20. Off-diagonal correlations of lattice impenetrable bosons in one dimension. https://doi.org/10.1088/1367-2630%2F8%2F8%2F167

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