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

2006/04/30 by Frank Deuretzbacher, F. Deuretzbacher, Kai Bongs +3 · 2 citations
Physics and Astronomy · #Atomic and Subatomic Physics Research #Bose gas #Bose–Einstein condensate #Boson #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Feshbach resonance #Ground state #Physics #Quantum mechanics #Quantum, superfluid, helium dynamics #Scaling #cond-mat.other

paper · pdf · doi:10.1103/physreva.75.013614

published as Phys. Rev. A 75, 013614 (2007) · 5 pages, 5 figures

openalex publication_date 2007/01/12 · arxiv created 2007/01/14 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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.

Citations

• Exact ground state of finite Bose-Einstein condensates on a ring
• Bose-Einstein condensation of two interacting particles
• Exciting Collective Oscillations in a Trapped 1D Gas
• Structure of a quantized vortex in boson systems
• Ultracold few-boson systems in a double-well trap
• Low-Dimensional Bose Liquids: Beyond the Gross-Pitaevskii Approximation
• Correlation functions and momentum distribution of one-dimensional Bose systems
• High-momentum tail in the Tonks gas under harmonic confinement
• Correlations in ultracold trapped few-boson systems: Transition from condensation to fermionization
• Spatial quantum noise interferometry in expanding ultracold atom clouds

Cited by

• Ultracold bosons in one-dimensional harmonic and multi-well traps: a quantum Monte Carlo versus a correlated-pair approach
• Correlation versus commensurability effects for finite bosonic systems in one-dimensional lattices