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Off-diagonal correlations of lattice impenetrable bosons in one dimension | | D.M. Gangardt
; G.V. Shlyapnikov
; | | Date: |
13 Jun 2006 | | Subject: | Statistical Mechanics | | 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. | | Source: | arXiv, cond-mat/0606319 | | Services: | Forum | Review | PDF | Favorites | |
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