Small harmonically trapped $N$-boson system at unitarity: Transition from $N$-body ``Efimov'' droplet to normal gas

ORAL

Abstract

Using the path integral Monte Carlo technique, we study the temperature dependence of small harmonically trapped Bose systems at unitarity. At low temperature, the system behaves like a $N$-body liquid droplet whose properties are tied to Efimov trimers. At high temperature, the system behaves like a gas consisting of Boltzmann particles. We observe a sharp phase-transition-like change from the droplet to the gas state in the intermediate temperature region. The energy, specific heat, and hyperradial distribution function are monitored as the system evolves from the liquid to the gas state. The connection of the phase-transition-like feature with Efimov physics will be discussed. A simple one-parameter model yields good agreement with the path integral simulation results for the entire temperature region. We use this model to predict the transition temperature for the unitary Bose gas with large number of particles.

–

Authors

  • Yangqian Yan

    Washington State University

  • William H. Dowd

    Oregon State University, University of Washington, University of Hong Kong, University of Tennessee, Oak Ridge National Laboratory, University of British Columbia, Univ of Washington, Univ of Cambridge, Michigan State University, Universit\'e de Caen, Argonne National Laboratory, Texas A\&M University -Commerce, Texas A\&M University, Department of Physics, University of Idaho, Moscow, Idaho 83844, USA, Universidad de Salamanca, E-37008 Salamanca, Spain, Department of Physics, Florida State University, Tallahassee, Florida 32306, USA, University of Cambridge, Institute of Astronomy, University of Cambridge, Canadian Institute for Theoretical Astrophysics, University of Toronto, Seoul National University, Chungnam National University, Department of Physics, Oregon State University, TRIUMF, Roosevelt High School, Department of Physics, University of Washington, Oregon State Department of Chemistry, Oregon State School of Electrical Engineering and Computer Science, Oregon State Department of Physics, University of Idaho, Lawrence Livermore National Laboratory, Idaho National Laboratory, Pacific Northwest National Laboratory, Carnegie Institution of Washington, Department of Chemistry, Oregon State University, School of Electrical Engineering and Computer Science, Oregon State University, Washington State University, Harvard University, Idaho Accelerator Center, Idaho Accelerator Center, Idaho State University, 1500 Alvin Ricken drive, Pocatello, ID 83201, USA, CENPA, University of Washington, Physics Division, ANL, NSCL, Michigan State University, Division, ANL, LPC, CAEN, France, Paul Scherrer Institute, US Geological Survey, 12201 Sunrise Valley Drive, Reston, VA, 20192, USA, University of Calgary Department of Physics and Astronomy, University of Calgary Department of Geoscience, None, University of the Fraser Valley, Univ of California, Berkeley, Simon Fraser University, Los Alamos Natl. Lab., University of Science and Technology of China, Hefei, U of Washington, Georgia Institute of Technology, Washington State Univ, National Institute of Standards and Technology and University of Maryland, American University