Off-diagonal correlations of lattice impenetrable bosons in one dimension

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

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Statistical Mechanics

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http://salesiana.dossiersoluciones.com/handle/123456789/112135

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/0606319
 http://arxiv.org/abs/cond-mat/0606319
 New Journal of Physics 8, 167 (2006)
 doi:10.1088/1367-2630/8/8/167

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arXiv