Ultracold atoms in one-dimensional optical lattices approaching the Tonks-Girardeau regime

Abstract

Recent experiments on ultracold atomic alkali gases in a one-dimensional optical lattice have demonstrated the transition from a gas of soft-core bosons to a Tonks-Girardeau gas in the hard-core limit, where one-dimensional bosons behave like fermions in many respects. We have studied the underlying many-body physics through numerical simulations which accommodate both the soft-core and hard-core limits in one single framework. We find that the Tonks-Girardeau gas is reached only at the strongest optical lattice potentials. Results for slightly higher densities, where the gas develops a Mott-like phase already at weaker optical lattice potentials, show that these Mott-like short range correlations do not enhance the convergence to the hard-core limit.

4 pages, 3 figures, replaced with published version

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Cited by in corpus (30)

• Many-Body Physics with Ultracold Gases
• One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
• Dynamical density-density correlations in the one-dimensional Bose gas
• Ultracold bosons with short-range interaction in regular optical lattices
• Phase diagram of Bose-Fermi mixtures in one-dimensional optical lattices
• Evidence for the super Tonks-Girardeau gas
• Ferromagnetic behaviour in the strongly interacting two-component Bose gas
• Excitation spectra of strongly correlated lattice bosons and polaritons
• The 1D interacting Bose gas in a hard wall box
• Generalized exclusion statistics and degenerate signature of strongly interacting anyons
• Temperature changes when adiabatically ramping up an optical lattice
• Efficient evaluation of partition functions of frustrated and inhomogeneous spin systems
• Form factors of local operators in a one-dimensional two-component Bose gas
• Collective dispersion relations for the 1D interacting two-component Bose and Fermi gases
• Correlation lengths of the repulsive one-dimensional Bose gas
• Polarization Suppression and Nonmonotonic Local Two-Body Correlations in the Two-Component Bose Gas in One Dimension
• Equilibrium thermodynamic properties of interacting two-component bosons in one dimension
• Fermionization and fractional statistics in the strongly interacting one-dimensional Bose gas
• Fermionization via cavity-assisted infinite-range interactions
• Bosons in optical lattices - from the Mott transition to the Tonks-Girardeau gas
• Levy distribution in many-particle quantum systems
• Temperature-driven crossover in the Lieb-Liniger model
• Efficient Thermodynamic Description of Multi-Component One-Dimensional Bose Gases
• Thermodynamics, density profiles and correlation functions of the inhomogeneous one-dimensional spinor Bose gas
• Ramping fermions in optical lattices across a Feshbach resonance
• Strongly interacting one-dimensional bosons in arbitrary-strength optical lattices: from Bose-Hubbard to sine-Gordon and beyond
• A continuous model for bosonic hard spheres in quasi one-dimensional optical lattices
• Exact Solutions to Two-Component Many-Body Systems in One Dimension
• Characterizing Real-space Topology in Rice-Mele Model by Thermodynamics
• Trapping polar molecules by surface acoustic waves