Squeezing the Efimov effect

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    J. H. Sandoval, F. F. Bellotti, M. T. Yamashita, Univ Estadual Paulista, Universidade Estadual Paulista, UNESP, Inst Fis Teor, T. Frederico, Inst Tecnol Aeronaut, Comando-Geral de Tecnologia Aeroespacial (CTA), Instituto Tecnologico de Aeronautica (ITA),
  • D. V. Fedorov
  • A. S. Jensen
  • N. T. Zinner

The quantum mechanical three-body problem is a source of continuing interest due to its complexity and not least due to the presence of fascinating solvable cases. The prime example is the Efimov effect where infinitely many bound states of identical bosons can arise at the threshold where the two-body problem has zero binding energy. An important aspect of the Efimov effect is the effect of spatial dimensionality; it has been observed in three dimensional systems, yet it is believed to be impossible in two dimensions. Using modern experimental techniques, it is possible to engineer trap geometry and thus address the intricate nature of quantum few-body physics as function of dimensionality. Here we present a framework for studying the three-body problem as one (continuously) changes the dimensionality of the system all the way from three, through two, and down to a single dimension. This is done by considering the Efimov favorable case of a mass-imbalanced system and with an external confinement provided by a typical experimental case with a (deformed) harmonic trap.

Original languageEnglish
Article number065004
JournalJournal of Physics B: Atomic, Molecular and Optical Physics
Issue number6
Number of pages10
StatePublished - 28 Mar 2018

    Research areas

  • three-body problem, efimov effect, low-dimensional structures, ULTRACOLD GASES, BODY PHYSICS, 2 DIMENSIONS, SCATTERING, STATES, RENORMALIZATION, SYSTEMS, TRIMER, HALOS

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