Evolution from a Bose-Einstein condensate to a Tonks-Girardeau gas: An exact diagonalization study

Abstract

We study ground state properties of spinless, quasi one-dimensional bosons which are confined in a harmonic trap and interact via repulsive delta-potentials. We use the exact diagonalization method to analyze the pair correlation function, as well as the density, the momentum distribution, different contributions to the energy and the population of single-particle orbitals in the whole interaction regime. In particular, we are able to trace the fascinating transition from bosonic to fermi-like behavior in characteristic features of the momentum distribution which is accessible to experiments. Our calculations yield quantitative measures for the interaction strength limiting the mean-field regime on one side and the Tonks-Girardeau regime on the other side of an intermediate regime.

5 pages, 5 figures

References in corpus (5)

• Spatial quantum noise interferometry in expanding ultracold atom clouds
• Ultracold Few-Boson Systems in a Double-Well Trap
• Ground-state properties of one-dimensional ultracold Bose gases in a hard-wall trap
• Correlations in Ultracold Trapped Few-Boson Systems: Transition from Condensation to Fermionization
• Ground-state properties of hard core bosons in one-dimensional harmonic traps

Cited by in corpus (18)

• Few-boson dynamics in double wells: From single-atom to correlated-pair tunneling
• Exact Solution of Strongly Interacting Quasi-One-Dimensional Spinor Bose Gases
• Exact solution for infinitely strongly interacting Fermi gases in tight waveguides
• Composite fermionization of 1-D Bose-Bose mixtures
• Tunneling dynamics of few bosons in a double well
• Ground-state properties of one-dimensional anyon gases
• Ground-state properties of hard-core anyons in one-dimensional optical lattices
• Excitations of Few-Boson Systems in 1-D Harmonic and Double Wells
• Ground-state properties of interacting two-component Bose gases in a one-dimensional harmonic trap
• Density-functional theory of two-component Bose gases in one-dimensional harmonic traps
• Excitations of attractive 1-D bosons: Binding vs. fermionization
• Ground-state properties of few-Boson system in a one-dimensional hard wall potential with split
• Ground-state properties of interacting two-component Bose gases in a hard-wall trap
• One-dimensional fermionic gases with attractive p-wave interaction in a hard-wall trap
• Binding between two-component bosons in one dimension
• Quantum dynamics of two bosons in an anharmonic trap: Collective vs internal excitations
• The single-particle density matrix and the momentum distribution of dark "solitons" in a Tonks-Girardeau gas
• The granularity of weakly occupied bosonic fields beyond the local density approximation