Correlation functions and momentum distribution of one-dimensional Bose systems

Abstract

The ground-state correlation properties of a one-dimensional Bose system described by the Lieb-Liniger Hamiltonian are investigated by using exact quantum Monte Carlo techniques. The pair distribution function, static structure factor, one-body density matrix and momentum distribution of a homogeneous system are calculated for different values of the gas parameter ranging from the Tonks-Girardeau to the mean-field regime. Results for the momentum distribution of a harmonically trapped gas in configurations relevant to experiments are also presented.

4 pages, 5 figures

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Cited by in corpus (77)

• One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
• Ultradilute low-dimensional liquids
• Continuous Matrix Product States for Quantum Fields
• Dynamical density-density correlations in the one-dimensional Bose gas
• Fermi-Bose mapping for one-dimensional Bose gases
• Reduced density matrices and coherence of trapped interacting bosons
• One-particle dynamical correlations in the one-dimensional Bose gas
• Exact local correlations and full counting statistics for arbitrary states of the one-dimensional interacting Bose gas
• Universal properties of hard-core bosons confined on one-dimensional lattices
• Expectation Values in the Lieb-Liniger Bose Gas
• 1D Lieb-Liniger Bose Gas as Non-Relativistic Limit of the Sinh-Gordon Model
• Evolution from a Bose-Einstein condensate to a Tonks-Girardeau gas: An exact diagonalization study
• Correlations in Ultracold Trapped Few-Boson Systems: Transition from Condensation to Fermionization
• Exact prefactors in static and dynamic correlation functions of 1D quantum integrable models: applications to the Calogero-Sutherland, Lieb-Liniger and XXZ models
• 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
• Nonperturbative dynamical many-body theory of a Bose-Einstein condensate
• Nonuniversal prefactors in correlation functions of 1D quantum liquids
• Quantum Monte-Carlo study of the Bose polaron problem in a one-dimensional gas with contact interactions
• Exact ground state of finite Bose-Einstein condensates on a ring
• Dynamics of excitations in a one-dimensional Bose liquid
• Non-local pair correlations in the 1D Bose gas at finite temperature
• Interacting bosons in one dimension and Luttinger liquid theory
• Beyond Lee-Huang-Yang description of self-bound Bose mixtures
• Polarizability and dynamic structure factor of the one-dimensional Bose gas near the Tonks-Girardeau limit at finite temperatures
• The 1D interacting Bose gas in a hard wall box
• Universal scaling of density and momentum distributions in Lieb-Liniger gases
• Quantum droplets of bosonic mixtures in a one-dimensional optical lattice
• Free expansion of a Lieb-Liniger gas: Asymptotic form of the wave functions
• One-dimensional Bose gas in optical lattices of arbitrary strength
• Momentum distribution of 1D Bose gases at the quasi-condensation crossover: theoretical and experimental investigation
• Super-Tonks-Girardeau regime in trapped one-dimensional dipolar gases
• Ground-state energy and excitation spectrum of the Lieb-Liniger model : accurate analytical results and conjectures about the exact solution
• Dynamical Mean Field Theory for the Bose-Hubbard Model
• One-particle density matrix of trapped one-dimensional impenetrable bosons from conformal invariance
• Correlation functions of a Lieb-Liniger Bose gas
• Exact numerical simulations of a one-dimensional, trapped Bose gas
• Relaxation dynamics of the Lieb-Liniger gas following an interaction quench: A coordinate Bethe-ansatz analysis
• Ultracold atoms in one-dimensional optical lattices approaching the Tonks-Girardeau regime
• Interacting bosons in an optical lattice
• Reentrant behavior of the breathing-mode-oscillation frequency in a one-dimensional Bose gas
• Off-diagonal correlations of the Calogero-Sutherland model
• Exponentially decaying correlations in a gas of strongly interacting spin-polarized 1D fermions with zero-range interactions
• Spin dynamics and Andreev-Bashkin effect in mixtures of one-dimensional Bose gases
• 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
• Unitary dynamics of strongly-interacting Bose gases with time-dependent variational Monte Carlo in continuous space
• Momentum distribution of a freely expanding Lieb-Liniger gas
• Comparative study of one-dimensional Bose and Fermi gases with contact interactions from the viewpoint of universal relations for correlation functions
• One-dimensional fermionic gases with attractive p-wave interaction in a hard-wall trap
• Luttinger liquid behavior of one-dimensional 3He
• Quantum Monte Carlo study of quasi-one-dimensional Bose gases
• Exact Results for the Boundary Energy of One-Dimensional Bosons
• Beyond-Luttinger-Liquid thermodynamics of a one-dimensional contact repulsive Bose gas
• Particle partition entanglement of bosonic Luttinger liquids
• Variational Bethe Ansatz approach for dipolar one-dimensional bosons
• Fermionization and fractional statistics in the strongly interacting one-dimensional Bose gas
• Contact and Structure Factor for Bosonic and Fermionic Mixtures
• Analytic thermodynamic properties of the Lieb-Liniger gas
• Quantum quench dynamics of the attractive one-dimensional Bose gas via the coordinate Bethe ansatz
• Correlation properties of a one-dimensional repulsive Bose gas at finite temperature
• Quantum vortices in optical lattices
• Off-diagonal Ground State Properties of a 1D Gas of Fermi Hard Rods
• 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
• Single-particle density matrix for a time-dependent strongly interacting one-dimensional Bose gas
• Density fluctuations of a hard-core Bose gas in a one-dimensional lattice
• Density ripples in expanding low-dimensional gases as a probe of correlations
• 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 single-particle density matrix and the momentum distribution of dark "solitons" in a Tonks-Girardeau gas
• Ultracold bosons in one-dimensional harmonic and multi-well traps: a Quantum Monte Carlo vs a correlated pair approach
• 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
• Universal properties and dynamical bosonization of strongly interacting one-dimensional anyons
• Reflection phase shifts of bouncing Bogoliubov waves
• Two-spinon effects on the thermal Tonks-Girardeau gas