The European Physical Journal Special Topics

, Volume 224, Issue 3, pp 565–569 | Cite as

Density functional theory of a trapped Bose gas with tunable scattering length: From weak-coupling to unitarity

  • M. Rossi
  • F. Ancilotto
  • L. Salasnich
  • F. Toigo
Regular Article
Part of the following topical collections:
  1. Novel Quantum Phases and Mesoscopic Physics in Quantum Gases


We study an interacting Bose gas at T = 0 under isotropic harmonic confinement within Density Functional Theory in the Local Density approximation. The energy density functional, which spans the whole range of positive scattering lengths up to the unitary regime (infinite scattering length), is obtained by fitting the recently calculated Monte Carlo bulk equation of state [Phys. Rev. A 89, 041602(R) (2014)]. We compare the density profiles of the trapped gas with those obtained by MC calculations. We solve the time-dependent Density Functional equation to study the effect of increasing values of the interaction strength on the frequencies of monopole and quadrupole oscillations of the trapped gas. We find that the monopole breathing mode shows a non-monotonous behavior as a function of the scattering length. We also consider the damping effect of three-body losses on such modes.


Monte Carlo European Physical Journal Special Topic Local Density Approximation Monte Carlo Result Monte Carlo Data 
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Copyright information

© EDP Sciences and Springer 2015

Authors and Affiliations

  • M. Rossi
    • 1
  • F. Ancilotto
    • 1
    • 2
  • L. Salasnich
    • 1
    • 3
  • F. Toigo
    • 1
    • 2
  1. 1.Dipartimento di Fisica e Astronomia “Galileo Galilei” and CNISMUniversità di PadovaPadovaItaly
  2. 2.CNR-IOM DemocritosTriesteItaly
  3. 3.CNR-INOSesto FiorentinoItaly

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