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.

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

References in corpus (3)

• Universal properties of hard-core bosons confined on one-dimensional lattices
• Ground-state properties of hard-core bosons confined on one-dimensional optical lattices
• Universal correlations of trapped one-dimensional impenetrable bosons

Cited by in corpus (6)

• Strong correlations in lossy one-dimensional quantum gases: from the quantum Zeno effect to the generalized Gibbs ensemble
• One-particle density matrix and momentum distribution function of one-dimensional anyon gases
• Are Bosonic Replicas Faulty?
• 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