Local correlations in a strongly interacting 1D Bose gas

Abstract

We develop an analytical method for calculating local correlations in strongly interacting 1D Bose gases, based on the exactly solvable Lieb-Liniger model. The results are obtained at zero and finite temperatures. They describe the interaction-induced reduction of local many-body correlation functions and can be used for achieving and identifying the strong-coupling Tonks-Girardeau regime in experiments with cold Bose gases in the 1D regime.

8 pages, REVTeX4, published in the New Journal of Physics

References in corpus (1)

• Stability and phase coherence of trapped 1D Bose gases

Cited by in corpus (67)

• Fermi gases in one dimension: From Bethe Ansatz to experiments
• One-Dimensional Quantum Liquids: Beyond the Luttinger Liquid Paradigm
• Short-Distance Correlation Properties of the Lieb-Liniger System and Momentum Distributions of Trapped One-Dimensional Atomic Gases
• Exact coherent states of a harmonically confined Tonks-Girardeau gas
• One-particle dynamical correlations in the one-dimensional Bose gas
• Finite temperature correlations and density profiles of an inhomogeneous interacting 1D Bose gas
• Exact local correlations and full counting statistics for arbitrary states of the one-dimensional interacting Bose gas
• Generalized Hydrodynamics in the 1D Bose gas: theory and experiments
• 1D Lieb-Liniger Bose Gas as Non-Relativistic Limit of the Sinh-Gordon Model
• Expectation Values in the Lieb-Liniger Bose Gas
• Exact three-body local correlations for excited states of the 1D Bose gas
• The effect of atom losses on the distribution of rapidities in the one-dimensional Bose gas
• Fermi-Bose transformation for the time-dependent Lieb-Liniger gas
• Effective interactions, Fermi-Bose duality, and ground states of ultracold atomic vapors in tight de Broglie waveguides
• Dynamics of excitations in a one-dimensional Bose liquid
• Local correlations in the 1D Bose gas from a scaling limit of the XXZ chain
• Non-local pair correlations in the 1D Bose gas at finite temperature
• Polarizability and dynamic structure factor of the one-dimensional Bose gas near the Tonks-Girardeau limit at finite temperatures
• Quantum quenches to the attractive one-dimensional Bose gas: exact results
• The 1D interacting Bose gas in a hard wall box
• Spatial nonlocal pair correlations in a repulsive 1D Bose gas
• Free expansion of a Lieb-Liniger gas: Asymptotic form of the wave functions
• Local Correlations in the Super Tonks-Girardeau Gas
• From the sinh-Gordon field theory to the one-dimensional Bose gas: exact local correlations and full counting statistics
• Ground-state energy and excitation spectrum of the Lieb-Liniger model : accurate analytical results and conjectures about the exact solution
• Relaxation dynamics of the Lieb-Liniger gas following an interaction quench: A coordinate Bethe-ansatz analysis
• Direct Measurements of Collisional Dynamics in Cold Atom Triads
• Free fermions at the edge of interacting systems
• Field-theoretical aspects of one-dimensional Bose and Fermi gases with contact interactions
• Exact formulas for the form factors of local operators in the Lieb-Liniger model
• Local correlations in the attractive 1D Bose gas: from Bethe ansatz to the Gross-Pitaevskii equation
• Momentum distribution of a freely expanding Lieb-Liniger gas
• A coordinate Bethe ansatz approach to the calculation of equilibrium and nonequilibrium correlations of the one-dimensional Bose gas
• Comparative study of one-dimensional Bose and Fermi gases with contact interactions from the viewpoint of universal relations for correlation functions
• One-particle density matrix of a trapped Lieb-Liniger anyonic gas
• Stationary state after a quench to the Lieb-Liniger from rotating BECs
• Higher-order local and non-local correlations for 1D strongly interacting Bose gas
• Correlation lengths of the repulsive one-dimensional Bose gas
• Cold bosons in the Landauer setup
• A connection between non-local one-body and local three-body correlations of the Lieb-Liniger model
• Deviations from Off-Diagonal Long-Range Order in One-Dimensional Quantum Systems
• Three-Body Losses in Trapped Bose-Einstein Condensed Gases
• Analytic thermodynamic properties of the Lieb-Liniger gas
• Correlation properties of a one-dimensional repulsive Bose gas at finite temperature
• Stability of spinor Fermi gases in tight waveguides
• Mott-insulator phase of coupled 1D atomic gases in a 2D optical lattice
• Pair-correlation properties and momentum distribution of finite number of interacting trapped bosons in three dimension
• Full Counting Statistics of the momentum occupation numbers of the Tonks-Girardeau gas
• Single-particle density matrix for a time-dependent strongly interacting one-dimensional Bose gas
• Exact results of dynamical structure factor of Lieb-Liniger model
• Integrability, Non-integrability and confinement
• From hardcore Bosons to free Fermions with Painlev{é} V
• Exploring the growth of correlations in a quasi one-dimensional trapped Bose gas
• Excitations and stability of weakly interacting Bose gases with multi-body interactions
• Density ripples in expanding low-dimensional gases as a probe of correlations
• Strongly interacting one-dimensional bosons in arbitrary-strength optical lattices: from Bose-Hubbard to sine-Gordon and beyond
• Method of difference-differential equations for some Bethe ansatz solvable models
• Determinant formula for the field form factor in the anyonic Lieb-Liniger model
• One-body dynamical correlation function of Lieb-Liniger model at finite temperature
• Probing the quantum state of a 1D Bose gas using off-resonant light scattering
• Binary Mixture of quasi one dimensional dipolar Bose Einstein Condensates with tilted dipoles
• Statistical properties of the momentum occupation numbers of the Tonks-Girardeau gas in a harmonic trap
• 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
• Enhanced performance of sudden-quench quantum Otto cycles via multi-parameter control
• Exact $\mathcal{N}$-point function mapping between pairs of experiments with Markovian open quantum systems