Bosons in cigar-shape traps: Thomas-Fermi regime, Tonks-Girardeau regime, and between

Abstract

We present a quantitative analysis of the experimental accessibility of the Tonks-Girardeau gas in the current day experiments with cigar-trapped alkalis. For this purpose we derive, using a Bethe anzats generated local equation of state, a set of hydrostatic equations describing one-dimensional delta-interacting Bose gases trapped in a harmonic potential. The resulting solutions cover the_entire range_ of atomic densities.

4 pages, 4 figures

Cited by in corpus (243)

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• Reflection of a Lieb-Liniger wave packet from the hard-wall potential
• Multiband Effects and the Bose-Hubbard Model in One-Dimensional Lattices
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• Self-trapping dynamics in a 2D optical lattice
• Homogeneous one-dimensional Bose-Einstein Condensate in the Bogoliubov's Regime
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• Quantum Recurrences in a One-Dimensional Gas of Impenetrable Bosons
• The lowest scattering state of one-dimensional Bose gas with attractive interactions
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• Interference of longitudinal and transversal fragmentations in the Josephson tunneling dynamics of Bose-Einstein condensates
• Berry phase for a Bose gas on a one-dimensional ring
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• Beats and Expansion of Two-Component Bose-Einstein Condensates in the Thomas-Fermi Limit
• Quantum transport in the black-hole configuration of an atom condensate outcoupled through an optical lattice
• Phase separation in the trapped spinor gases with anisotropic spin-spin interaction
• Many-body quantum metrology with scalar bosons in a single potential well
• The weakening of fermionization of one dimensional spinor Bose gases induced by spin-exchange interaction
• Gradient corrections to the local density approximation in the one-dimensional Bose gas
• Effect of transverse confinement on a quasi-one dimensional dipolar Bose gas
• The improved Gaussian approximation Calculation of Bogoliubov Mode in One Dimensional Bosonic Gas
• Ground State Properties of Anti-Ferromagnetic Spinor Bose gases in One Dimension
• The granularity of weakly occupied bosonic fields beyond the local density approximation
• Strong interaction induced dimensional crossover in 1D quantum gas
• Finite-temperature phase diagram and collective modes of coherently coupled Bose mixtures
• Periodic Ultranarrow Rods as 1D Subwavelength Optical Lattices
• Gap solitons of a super-Tonks-Girardeau gas in a one-dimensional periodic potential
• Polymer quantization in the Bogoliubov's regime for a homogeneous one-dimensional Bose-Einstein condensate
• Breaking of Huygens-Fresnel principle in inhomogeneous Tomonaga-Luttinger liquids
• Efficient determination of eigenenergies and eigenstates of $N$ ($N=3$--$4$) identical 1D bosons and fermions under external harmonic confinement
• Exact density oscillations in the Tonks-Girardeau gas and their optical detection