DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Ground-State Properties of Unitary Bosons: From Clusters to Matter

Abstract

The properties of cold Bose gases at unitarity have been extensively investigated in the last few years both theoretically and experimentally. In this paper we use a family of interactions tuned to two-body unitarity and very weak three-body binding to demonstrate the universal properties of both clusters and matter. We determine the universal properties of finite clusters up to 60 particles and, for the first time, explicitly demonstrate the saturation of energy and density with particle number and compare with bulk properties. At saturation in the bulk we determine the energy, density, two- and three-body contacts, and the condensate fraction. We find that uniform matter is more bound than three-body clusters by nearly 2 orders of magnitude, the two-body contact is very large in absolute terms, and yet the condensate fraction is also very large, greater than 90%. Finally, equilibrium properties of these systems may be experimentally accessible through rapid quenching of weakly interacting boson superfluids.

Authors:
 [1];  [1];  [2];  [3]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  2. Univ. of Paris-Sud, Orsay (France). Inst. of Nuclear Physics; Univ. of Arizona, Tucson, AZ (United States). Dept. of Physics
  3. Univ. of Campinas (Brazil). Inst. of Physics Gleb Wataghin
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); European Union (EU)
OSTI Identifier:
1415405
Alternate Identifier(s):
OSTI ID: 1412949
Report Number(s):
LA-UR-17-25071
Journal ID: ISSN 0031-9007; TRN: US1800803
Grant/Contract Number:  
AC52-06NA25396; AC02-05CH11231; FG02-04ER41338; 654002
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 119; Journal Issue: 22; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Atomic and Nuclear Physics

Citation Formats

Carlson, J., Gandolfi, S., van Kolck, U., and Vitiello, S. A. Ground-State Properties of Unitary Bosons: From Clusters to Matter. United States: N. p., 2017. Web. doi:10.1103/PhysRevLett.119.223002.
Carlson, J., Gandolfi, S., van Kolck, U., & Vitiello, S. A. Ground-State Properties of Unitary Bosons: From Clusters to Matter. United States. https://doi.org/10.1103/PhysRevLett.119.223002
Carlson, J., Gandolfi, S., van Kolck, U., and Vitiello, S. A. Wed . "Ground-State Properties of Unitary Bosons: From Clusters to Matter". United States. https://doi.org/10.1103/PhysRevLett.119.223002. https://www.osti.gov/servlets/purl/1415405.
@article{osti_1415405,
title = {Ground-State Properties of Unitary Bosons: From Clusters to Matter},
author = {Carlson, J. and Gandolfi, S. and van Kolck, U. and Vitiello, S. A.},
abstractNote = {The properties of cold Bose gases at unitarity have been extensively investigated in the last few years both theoretically and experimentally. In this paper we use a family of interactions tuned to two-body unitarity and very weak three-body binding to demonstrate the universal properties of both clusters and matter. We determine the universal properties of finite clusters up to 60 particles and, for the first time, explicitly demonstrate the saturation of energy and density with particle number and compare with bulk properties. At saturation in the bulk we determine the energy, density, two- and three-body contacts, and the condensate fraction. We find that uniform matter is more bound than three-body clusters by nearly 2 orders of magnitude, the two-body contact is very large in absolute terms, and yet the condensate fraction is also very large, greater than 90%. Finally, equilibrium properties of these systems may be experimentally accessible through rapid quenching of weakly interacting boson superfluids.},
doi = {10.1103/PhysRevLett.119.223002},
journal = {Physical Review Letters},
number = 22,
volume = 119,
place = {United States},
year = {Wed Nov 29 00:00:00 EST 2017},
month = {Wed Nov 29 00:00:00 EST 2017}
}

Journal Article:

Citation Metrics:
Cited by: 20 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Sound Velocity, Density, and Grüneisen Constant in Liquid He 4 : Comparison of Experiment with Theoretically Calculated Results
journal, August 1970

  • Roach, Pat R.; Ketterson, J. B.; Woo, Chia-Wei
  • Physical Review A, Vol. 2, Issue 2
  • DOI: 10.1103/PhysRevA.2.543

Energy levels arising from resonant two-body forces in a three-body system
journal, December 1970


The Interaction Between a Neutron and a Proton and the Structure of H 3
journal, June 1935


Theory of ultracold atomic Fermi gases
journal, October 2008

  • Giorgini, Stefano; Pitaevskii, Lev P.; Stringari, Sandro
  • Reviews of Modern Physics, Vol. 80, Issue 4
  • DOI: 10.1103/RevModPhys.80.1215

Two-Body and Three-Body Contacts for Identical Bosons near Unitarity
journal, March 2014


Quenching to unitarity: Quantum dynamics in a three-dimensional Bose gas
journal, February 2014


The three-boson system with short-range interactions
journal, February 1999


N -Body Efimov States from Two-Particle Noise
journal, August 2012


Quantum Monte Carlo studies of superfluid Fermi gases
journal, October 2004


Renormalization of the Three-Body System with Short-Range Interactions
journal, January 1999


Universality in few-body systems with large scattering length
journal, June 2006


Calculations of Ground-State Properties of Liquid He 4 Droplets
journal, May 1983

  • Pandharipande, V. R.; Zabolitzky, J. G.; Pieper, Steven C.
  • Physical Review Letters, Vol. 50, Issue 21
  • DOI: 10.1103/PhysRevLett.50.1676

Efimov physics in bosonic atom-trimer scattering
journal, October 2010


Quantum Monte Carlo simulations of solids
journal, January 2001


Efimov-driven phase transitions of the unitary Bose gas
journal, March 2014

  • Piatecki, Swann; Krauth, Werner
  • Nature Communications, Vol. 5, Issue 1
  • DOI: 10.1038/ncomms4503

Effective field theory for few-boson systems
journal, November 2016


Superfluid Fermi Gases with Large Scattering Length
journal, July 2003


Universal properties of the four-body system with large scattering length
journal, March 2007


Signatures of universal four-body phenomena and their relation to the Efimov effect
journal, April 2009

  • von Stecher, J.; D’Incao, J. P.; Greene, Chris H.
  • Nature Physics, Vol. 5, Issue 6
  • DOI: 10.1038/nphys1253

Spectra of helium clusters with up to six atoms using soft-core potentials
journal, November 2011


General relations for quantum gases in two and three dimensions. II. Bosons and mixtures
journal, November 2012


Monte Carlo simulations of the unitary Bose gas
journal, April 2014


Momentum Distribution in the Unitary Bose Gas from First Principles
journal, November 2016


N -boson spectrum from a discrete scale invariance
journal, September 2014


Two- and three-body contacts in the unitary Bose gas
journal, January 2017


Five- and Six-Body Resonances Tied to an Efimov Trimer
journal, November 2011


Efimov physics: a review
journal, March 2017


Universal Relations for Identical Bosons from Three-Body Physics
journal, April 2011


BEC-BCS crossover and universal relations in unitary Fermi gases
journal, April 2011


Atomic momentum distribution and Bose-Einstein condensation in liquid 4 He under pressure
journal, November 2011


Effective field theory of short-range forces
journal, January 1999


Universal dynamics of a degenerate unitary Bose gas
journal, January 2014

  • Makotyn, P.; Klauss, C. E.; Goldberger, D. L.
  • Nature Physics, Vol. 10, Issue 2
  • DOI: 10.1038/nphys2850

Weakly bound cluster states of Efimov character
journal, May 2010


Two- and three-body contacts in the unitary Bose gas
text, January 2017

  • Fletcher, Rj; Lopes, Raphael; Man, J.
  • Apollo - University of Cambridge Repository
  • DOI: 10.17863/cam.8390

Weakly Bound Cluster States of Efimov Character
text, January 2009


BEC-BCS crossover and universal relations in unitary Fermi gases
text, January 2010


Spectra of helium clusters with up to six atoms using soft core potentials
text, January 2011


Efimov-driven phase transitions of the unitary Bose gas
text, January 2013


Universal dynamics of a degenerate unitary Bose gas
text, January 2013


Monte Carlo Simulations of the Unitary Bose Gas
text, January 2014


$N$-boson spectrum from a Discrete Scale Invariance
text, January 2014


Momentum distribution in the unitary Bose gas from first principles
text, January 2016


Efimov Physics: a review
text, January 2016


Renormalization of the Three-Body System with Short-Range Interactions
text, January 1998


The Three-Boson System with Short-Range Interactions
text, January 1998