Off-diagonal correlations of lattice impenetrable bosons in one dimension

Dimitri Gangardt, GV Shlyapnikov

Research output: Contribution to journalArticle

14 Citations (Scopus)


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.
Original languageEnglish
Article number167
JournalNew Journal of Physics
Publication statusPublished - 30 Aug 2006


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