2006/08/16 by Bernd Schmidt, Michael Fleischhauer · 2 citations
Mathematics · Physics and Astronomy · #Bose gas #Bose–Einstein condensate #Cold Atom Physics and Bose-Einstein Condensates #Density matrix renormalization group #Ground state #Harmonic #Limit (mathematics) #Luttinger liquid #Materials science #Mathematics #Physics #Quantum #Quantum electrodynamics #Quantum many-body systems #Quantum mechanics #Quantum, superfluid, helium dynamics #Range (aeronautics) #Renormalization #Renormalization group #Trapping #cond-mat.other
paper · pdf · doi:10.1103/physreva.75.021601
4 pages, 5 figures
arxiv created 2006/08/16 · openalex publication_date 2007/02/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We analyze the ground-state and low-temperature properties of a one-dimensional Bose gas in a harmonic trapping potential using the numerical density-matrix renormalization group. Calculations cover the whole range from the Bogoliubov limit of weak interactions to the Tonks-Girardeau limit. Local quantities such as density and local three-body correlations are calculated and shown to agree very well with analytic predictions within a local-density approximation. The transition between temperature-dominated to quantum-dominated correlation is determined. It is shown that despite the presence of the harmonic trapping potential, first-order correlations display, over a large range, the algebraic decay of a harmonic fluid with a Luttinger parameter determined by the density at the trap center.