One-particle dynamical correlations in the one-dimensional Bose gas

Abstract

The momentum- and frequency-dependent one-body correlation function of the one-dimensional interacting Bose gas (Lieb-Liniger model) in the repulsive regime is studied using the Algebraic Bethe Ansatz and numerics. We first provide a determinant representation for the field form factor which is well-adapted to numerical evaluation. The correlation function is then reconstructed to high accuracy for systems with finite but large numbers of particles, for a wide range of values of the interaction parameter. Our results are extensively discussed, in particular their specialization to the static case.

19 Pages, 7 figures

References in corpus (8)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Dynamical density-density correlations in the one-dimensional Bose gas
• Universal correlations of trapped one-dimensional impenetrable bosons
• Ground-state properties of hard core bosons in one-dimensional harmonic traps
• Polarizability and dynamic structure factor of the one-dimensional Bose gas near the Tonks-Girardeau limit at finite temperatures
• The Dynamic Structure Factor of the 1D Bose Gas near the Tonks-Girardeau Limit
• Analytic solutions of the 1D finite coupling delta function Bose gas
• Off-diagonal correlations of lattice impenetrable bosons in one dimension

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