Correlation functions of a Lieb-Liniger Bose gas

Abstract

The ground-state correlation functions of a one-dimensional homogeneous Bose system described by the Lieb-Liniger Hamiltonian are investigated by using exact quantum Monte Carlo techniques. This article is an extension of a previous study published in Phys. Rev. A {\bf 68}, 031602 (2003). New results on the local three-body correlator as a function of the interaction strength are included and compared with the measured value from three-body loss experiments. We also carry out a thorough study of the short- and long-range behavior of the one-body density matrix.

10 pages, 8 figures, contribution to Cortona BEC JPB special issue

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Cited by in corpus (34)

• One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
• Exact local correlations and full counting statistics for arbitrary states of the one-dimensional interacting Bose gas
• Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
• Quantum Monte-Carlo study of the Bose polaron problem in a one-dimensional gas with contact interactions
• Nonuniversal prefactors in correlation functions of 1D quantum liquids
• Non-local pair correlations in the 1D Bose gas at finite temperature
• Quantum droplets in one-dimensional Bose mixtures: a quantum Monte-Carlo study
• Spatial nonlocal pair correlations in a repulsive 1D Bose gas
• Universal scaling of density and momentum distributions in Lieb-Liniger gases
• One-dimensional Bose gas in optical lattices of arbitrary strength
• Super-Tonks-Girardeau regime in trapped one-dimensional dipolar gases
• Relaxation dynamics of the Lieb-Liniger gas following an interaction quench: A coordinate Bethe-ansatz analysis
• Reentrant behavior of the breathing-mode-oscillation frequency in a one-dimensional Bose gas
• Relaxation of Bosons in One Dimension and the Onset of Dimensional Crossover
• Correlated dynamics of collective droplet excitations in a one-dimensional harmonic trap
• Low-dimensional weakly interacting Bose gases: non-universal equations of state
• A coordinate Bethe ansatz approach to the calculation of equilibrium and nonequilibrium correlations of the one-dimensional Bose gas
• Luttinger liquid behavior of one-dimensional 3He
• Statistical mechanics of one-dimensional quantum droplets
• Fermionization and fractional statistics in the strongly interacting one-dimensional Bose gas
• Cross-over to quasi-condensation: mean-field theories and beyond
• Analytic thermodynamic properties of the Lieb-Liniger gas
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• Clusterization of weakly-interacting bosons in one dimension: an analytic study at zero temperature
• Off-diagonal Ground State Properties of a 1D Gas of Fermi Hard Rods
• Caustic formation in expanding condensates of cold atoms
• Exploring the growth of correlations in a quasi one-dimensional trapped Bose gas
• Thermal fading of the $1/k^4$-tail of the momentum distribution induced by the hole anomaly
• The relevant excitations for the one-body function in the Lieb-Liniger model
• The granularity of weakly occupied bosonic fields beyond the local density approximation
• Momentum distribution and non-local high order correlation functions of 1D strongly interacting Bose gas
• Pair Distribution Function of One-dimensional "Hard Sphere" Fermi and Bose Systems
• Multicomponent one-dimensional quantum droplets across the mean-field stability regime
• Two-spinon effects on the thermal Tonks-Girardeau gas