Three-dimensional quasi-Tonks gas in a harmonic trap
arXiv:cond-mat/0304141 · doi:10.1103/PhysRevLett.91.110401
Abstract
We analyze the macroscopic dynamics of a Bose gas in a harmonic trap with a superimposed two-dimensional optical lattice, assuming a weak coupling between different lattice sites. We consider the situation in which the local chemical potential at each lattice site can be considered as that provided by the Lieb-Liniger solution. Due to the weak coupling between sites and the form of the chemical potential, the three-dimensional ground-state density profile and the excitation spectrum acquire remarkable properties different from both 1D and 3D gases. We call this system a quasi-Tonks gas. We discuss the range of applicability of this regime, as well as realistic experimental situations where it can be observed.
4 pages, 3 figures, misprints corrected
References in corpus (18)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Realization of Bose-Einstein condensates in lower dimensions
- Stable 85Rb Bose-Einstein Condensates with Widely Tunable Interactions
- A quasi-pure Bose-Einstein condensate immersed in a Fermi sea
- Josephson Junction Arrays with Bose-Einstein Condensates
- Regimes of quantum degeneracy in trapped 1D gases
- Bloch oscillations and mean-field effects of Bose-Einstein condensates in 1-D optical lattices
- Strongly enhanced inelastic collisions in a Bose-Einstein condensate near Feshbach resonances
- Bosons in cigar-shape traps: Thomas-Fermi regime, Tonks-Girardeau regime, and between
- Collective oscillations of a 1D trapped Bose gas
- Stability and phase coherence of trapped 1D Bose gases
- 1/2-Anyons in small atomic Bose-Einstein condensates
- Ground state properties of a one-dimensional condensate of hard core bosons in a harmonic trap
- Spin-charge separation in ultra-cold quantum gases
- Macroscopic dynamics of a trapped Bose-Einstein condensate in the presence of 1D and 2D optical lattices
- Cold Bose gases with large scattering lengths
- Quasi 2D Bose-Einstein condensation in an optical lattice
- Dynamical transition from a quasi-one dimensional Bose-Einstein condensate to a Tonks-Girardeau gas
Cited by in corpus (11)
- Fermi gases in one dimension: From Bethe Ansatz to experiments
- Exciting Collective Oscillations in a Trapped 1D Gas
- Deconfinement in a 2D optical lattice of coupled 1D boson systems
- Observable Signature of the Berezinskii-Kosterlitz-Thouless Transition in a Planar Lattice of Bose-Einstein Condensates
- Collective oscillations of one-dimensional Bose-Einstein gas in a time-varying trap potential and atomic scattering length
- Quantum fluctuations and collective oscillations of a Bose-Einstein condensate in a 2D optical lattice
- Collective excitation of Bose-Einstein condensates in the transition region between 3D and 1D
- Splitting and merging an elongated Bose-Einstein condensate at finite temperature
- Mott-insulator phase of coupled 1D atomic gases in a 2D optical lattice
- Collective excitations of a trapped Bose-Einstein condensate in the presence of weak disorder and a two-dimensional optical lattice
- Exact density oscillations in the Tonks-Girardeau gas and their optical detection