Off-diagonal correlations of lattice impenetrable bosons in one dimension

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.

arXiv comment10 pages. Submitted to the Focus Issue on 'Cold Atoms in Optical Lattices' of New Journal of Physics

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• One-particle density matrix and momentum distribution function of one-dimensional anyon gases
• Are Bosonic Replicas Faulty?
• One-body reduced density matrix of trapped impenetrable anyons in one dimension
• Off-diagonal correlations in one-dimensional anyonic models: A replica approach
• Ground states of hard-core bosons in one dimensional periodic potentials
• Unconventional quantum phases of lattice bosonic mixtures
• Exact spectral function of the Tonks-Girardeau gas at finite temperature
• The single-particle density matrix and the momentum distribution of dark "solitons" in a Tonks-Girardeau gas
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