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Title: Equation of state and contact of a strongly interacting Bose gas in the normal state

Abstract

Here, we theoretically investigate the equation of state and Tan's contact of a nondegenerate three-dimensional Bose gas near a broad Feshbach resonance, within the framework of large-N expansion. Our results agree with the path-integral Monte Carlo simulations in the weak-coupling limit and recover the second-order virial expansion predictions at strong interactions and high temperatures. At resonance, we find that the chemical potential and energy are significantly enhanced by the strong repulsion, while the entropy does not change significantly. With increasing temperature, the two-body contact initially increases and then decreases like T–1 at large temperature, and therefore exhibits a peak structure at about 4Tc0, where Tc0 is the Bose-Einstein condensation temperature of an ideal, noninteracting Bose gas. These results may be experimentally examined with a nondegenerate unitary Bose gas, where the three-body recombination rate is substantially reduced. In particular, the nonmonotonic temperature dependence of the two-body contact could be inferred from the momentum distribution measurement.

Authors:
 [1];  [1];  [2];  [1]
  1. Swinburne Univ. of Technology, Melbourne (Australia)
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1247143
Alternate Identifier(s):
OSTI ID: 1178780
Report Number(s):
LA-UR-15-20742
Journal ID: ISSN 1050-2947; PLRAAN
Grant/Contract Number:  
FT140100003; DP140100637; FT130100815; DP140103231; AC02-05CH11231; AC52-06NA25396; DOE-AC02-05CH11231
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review A - Atomic, Molecular, and Optical Physics
Additional Journal Information:
Journal Volume: 91; Journal Issue: 4; Journal ID: ISSN 1050-2947
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; strongly interacting Bose gas; Tan's contact; large-N expansion

Citation Formats

Liu, Xia -Ji, Mulkerin, Brendan, He, Lianyi, and Hu, Hui. Equation of state and contact of a strongly interacting Bose gas in the normal state. United States: N. p., 2015. Web. doi:10.1103/PhysRevA.91.043631.
Liu, Xia -Ji, Mulkerin, Brendan, He, Lianyi, & Hu, Hui. Equation of state and contact of a strongly interacting Bose gas in the normal state. United States. https://doi.org/10.1103/PhysRevA.91.043631
Liu, Xia -Ji, Mulkerin, Brendan, He, Lianyi, and Hu, Hui. Mon . "Equation of state and contact of a strongly interacting Bose gas in the normal state". United States. https://doi.org/10.1103/PhysRevA.91.043631. https://www.osti.gov/servlets/purl/1247143.
@article{osti_1247143,
title = {Equation of state and contact of a strongly interacting Bose gas in the normal state},
author = {Liu, Xia -Ji and Mulkerin, Brendan and He, Lianyi and Hu, Hui},
abstractNote = {Here, we theoretically investigate the equation of state and Tan's contact of a nondegenerate three-dimensional Bose gas near a broad Feshbach resonance, within the framework of large-N expansion. Our results agree with the path-integral Monte Carlo simulations in the weak-coupling limit and recover the second-order virial expansion predictions at strong interactions and high temperatures. At resonance, we find that the chemical potential and energy are significantly enhanced by the strong repulsion, while the entropy does not change significantly. With increasing temperature, the two-body contact initially increases and then decreases like T–1 at large temperature, and therefore exhibits a peak structure at about 4Tc0, where Tc0 is the Bose-Einstein condensation temperature of an ideal, noninteracting Bose gas. These results may be experimentally examined with a nondegenerate unitary Bose gas, where the three-body recombination rate is substantially reduced. In particular, the nonmonotonic temperature dependence of the two-body contact could be inferred from the momentum distribution measurement.},
doi = {10.1103/PhysRevA.91.043631},
journal = {Physical Review A - Atomic, Molecular, and Optical Physics},
number = 4,
volume = 91,
place = {United States},
year = {Mon Apr 27 00:00:00 EDT 2015},
month = {Mon Apr 27 00:00:00 EDT 2015}
}

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Cited by: 6 works
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Works referenced in this record:

Conserving and gapless approximations for an inhomogeneous Bose gas at finite temperatures
journal, April 1996


Finite-temperature excitations in a dilute Bose-condensed gas
journal, October 1998


Collective oscillations of a confined Bose gas at finite temperature in the random-phase approximation
journal, April 2004


Nonperturbative Predictions for Cold Atom Bose Gases with Tunable Interactions
journal, December 2010


Auxiliary-field approach to dilute Bose gases with tunable interactions
journal, May 2011


Conserving and gapless Hartree-Fock-Bogoliubov theory for the three-dimensional dilute Bose gas
journal, November 2013


Ground state of a homogeneous Bose gas of hard spheres
journal, July 2014


Many-Body Problem in Quantum Mechanics and Quantum Statistical Mechanics
journal, February 1957


Eigenvalues and Eigenfunctions of a Bose System of Hard Spheres and Its Low-Temperature Properties
journal, June 1957


Many-body physics with ultracold gases
journal, July 2008

  • Bloch, Immanuel; Dalibard, Jean; Zwerger, Wilhelm
  • Reviews of Modern Physics, Vol. 80, Issue 3
  • DOI: 10.1103/RevModPhys.80.885

Three-Body Recombination of Ultracold Atoms to a Weakly Bound s Level
journal, September 1996


Three-Body Recombination at Large Scattering Lengths in an Ultracold Atomic Gas
journal, September 2003


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


Bragg Spectroscopy of a Strongly Interacting Rb 85 Bose-Einstein Condensate
journal, September 2008


Dynamics and Thermodynamics of the Low-Temperature Strongly Interacting Bose Gas
journal, September 2011


Lifetime of the Bose Gas with Resonant Interactions
journal, April 2013


Stability of a Unitary Bose Gas
journal, September 2013


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

Limits on Universality in Ultracold Three-Boson Recombination
journal, September 2004


Cold Bose Gases with Large Scattering Lengths
journal, May 2002


Ground State Properties of Cold Bosonic Atoms at Large Scattering Lengths
journal, July 2009


Universality and stability for a dilute Bose gas with a Feshbach resonance
journal, June 2010


Ground state of a resonantly interacting Bose gas
journal, September 2011


Three-dimensional Bose gas near a Feshbach resonance
journal, February 2012


Bose Gases near Unitarity
journal, May 2012


Quench dynamics of a strongly interacting resonant Bose gas
journal, December 2013


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

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


Universal Bose gases near resonance: A rigorous solution
journal, March 2014


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


Momentum Distribution of a Dilute Unitary Bose Gas with Three-Body Losses
journal, November 2014


Large- N expansion for unitary superfluid Fermi gases
journal, April 2007


Quantum critical transport in the unitary Fermi gas
journal, July 2012


Equation of state of an interacting Bose gas at finite temperature: A path-integral Monte Carlo study
journal, October 2006


Virial Expansion for a Strongly Correlated Fermi Gas
journal, April 2009


Three attractively interacting fermions in a harmonic trap: Exact solution, ferromagnetism, and high-temperature thermodynamics
journal, August 2010


Exact few-body results for strongly correlated quantum gases in two dimensions
journal, August 2010


Le troisième coefficient du viriel du gaz de Bose unitaire
journal, May 2013


Energetics of a strongly correlated Fermi gas
journal, December 2008


Large momentum part of a strongly correlated Fermi gas
journal, December 2008


Strongly interacting Bose gas: Nozières and Schmitt-Rink theory and beyond
journal, June 2009


Bose condensation in an attractive fermion gas: From weak to strong coupling superconductivity
journal, May 1985

  • Nozi�res, P.; Schmitt-Rink, S.
  • Journal of Low Temperature Physics, Vol. 59, Issue 3-4
  • DOI: 10.1007/BF00683774

Crossover from BCS to Bose superconductivity: Transition temperature and time-dependent Ginzburg-Landau theory
journal, November 1993

  • Sá de Melo, C. A. R.; Randeria, Mohit; Engelbrecht, Jan R.
  • Physical Review Letters, Vol. 71, Issue 19
  • DOI: 10.1103/PhysRevLett.71.3202

Equation of state of a superfluid Fermi gas in the BCS-BEC crossover
journal, May 2006


Low-density repulsive Fermi gas in two dimensions: Bound-pair excitations and Fermi-liquid behavior
journal, June 1992


Nature and Properties of a Repulsive Fermi Gas in the Upper Branch of the Energy Spectrum
journal, November 2011


Measurements of Tan’s Contact in an Atomic Bose-Einstein Condensate
journal, April 2012


Universal contact of strongly interacting fermions at finite temperatures
journal, March 2011


Comparative study of strong-coupling theories of a trapped Fermi gas at unitarity
journal, June 2008


Universal thermodynamics of a strongly interacting Fermi gas: theory versus experiment
journal, June 2010


Comparison between theory and experiment for universal thermodynamics of a homogeneous, strongly correlated Fermi gas
journal, June 2011


The quantum theory of the non-ideal gas. II. Behaviour at low temperatures
journal, October 1937


Precise Determination of the Structure Factor and Contact in a Unitary Fermi Gas
journal, January 2013


Works referencing / citing this record:

Large- N properties of a non-ideal Bose gas
journal, December 2018

  • Hryhorchak, Orest; Pastukhov, Volodymyr
  • Journal of Physics A: Mathematical and Theoretical, Vol. 52, Issue 2
  • DOI: 10.1088/1751-8121/aaede7

Large-$N$ properties of a non-ideal Bose gas
text, January 2018