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

Liu, Xia -Ji; Mulkerin, Brendan; He, Lianyi; Hu, Hui

doi:10.1103/PhysRevA.91.043631

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

Journal Article · Mon Apr 27 00:00:00 EDT 2015 · Physical Review A - Atomic, Molecular, and Optical Physics

DOI:https://doi.org/10.1103/PhysRevA.91.043631· OSTI ID:1247143

Liu, Xia -Ji ^[1]; Mulkerin, Brendan ^[1]; He, Lianyi ^[2]; Hu, Hui ^[1]

Swinburne Univ. of Technology, Melbourne (Australia)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

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 4T_c0, where T_c0 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.

View Accepted Manuscript (DOE)

View Accepted Manuscript (Publisher)

Cite

Export

Save

Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: FT140100003; DP140100637; FT130100815; DP140103231; AC02-05CH11231; AC52-06NA25396; DOE-AC02-05CH11231

OSTI ID:: 1247143

Alternate ID(s):: OSTI ID: 1178780

Report Number(s):: LA-UR-15-20742; PLRAAN

Journal Information:: Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 91, Issue 4; ISSN 1050-2947

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 6 works

Citation information provided by
Web of Science

References (58)

Conserving and gapless approximations for an inhomogeneous Bose gas at finite temperatures Griffin, A. Physical Review B, Vol. 53, Issue 14 https://doi.org/10.1103/PhysRevB.53.9341	journal	April 1996
Finite-temperature excitations in a dilute Bose-condensed gas Shi, H. Physics Reports, Vol. 304, Issue 1-2 https://doi.org/10.1016/S0370-1573(98)00015-5	journal	October 1998
Collective oscillations of a confined Bose gas at finite temperature in the random-phase approximation Liu, Xia-Ji; Hu, Hui; Minguzzi, A. Physical Review A, Vol. 69, Issue 4 https://doi.org/10.1103/PhysRevA.69.043605	journal	April 2004
Self-consistent perturbation expansion for Bose-Einstein condensates satisfying Goldstone’s theorem and conservation laws Kita, Takafumi Physical Review B, Vol. 80, Issue 21 https://doi.org/10.1103/PhysRevB.80.214502	journal	December 2009
Nonperturbative Predictions for Cold Atom Bose Gases with Tunable Interactions Cooper, Fred; Chien, Chih-Chun; Mihaila, Bogdan Physical Review Letters, Vol. 105, Issue 24 https://doi.org/10.1103/PhysRevLett.105.240402	journal	December 2010
Auxiliary-field approach to dilute Bose gases with tunable interactions Cooper, Fred; Mihaila, Bogdan; Dawson, John F. Physical Review A, Vol. 83, Issue 5 https://doi.org/10.1103/PhysRevA.83.053622	journal	May 2011
Conserving and gapless Hartree-Fock-Bogoliubov theory for the three-dimensional dilute Bose gas Zhang, Ya-Hui; Li, Dingping Physical Review A, Vol. 88, Issue 5 https://doi.org/10.1103/PhysRevA.88.053604	journal	November 2013
Ground state of a homogeneous Bose gas of hard spheres Yukalov, V. I.; Yukalova, E. P. Physical Review A, Vol. 90, Issue 1 https://doi.org/10.1103/PhysRevA.90.013627	journal	July 2014
Many-Body Problem in Quantum Mechanics and Quantum Statistical Mechanics Lee, T. D.; Yang, C. N. Physical Review, Vol. 105, Issue 3 https://doi.org/10.1103/PhysRev.105.1119	journal	February 1957
Eigenvalues and Eigenfunctions of a Bose System of Hard Spheres and Its Low-Temperature Properties Lee, T. D.; Huang, Kerson; Yang, C. N. Physical Review, Vol. 106, Issue 6 https://doi.org/10.1103/PhysRev.106.1135	journal	June 1957
Many-body physics with ultracold gases Bloch, Immanuel; Dalibard, Jean; Zwerger, Wilhelm Reviews of Modern Physics, Vol. 80, Issue 3 https://doi.org/10.1103/RevModPhys.80.885	journal	July 2008
Three-Body Recombination of Ultracold Atoms to a Weakly Bound $s$ Level Fedichev, P. O.; Reynolds, M. W.; Shlyapnikov, G. V. Physical Review Letters, Vol. 77, Issue 14 https://doi.org/10.1103/PhysRevLett.77.2921	journal	September 1996
Three-Body Recombination at Large Scattering Lengths in an Ultracold Atomic Gas Weber, Tino; Herbig, Jens; Mark, Michael Physical Review Letters, Vol. 91, Issue 12 https://doi.org/10.1103/PhysRevLett.91.123201	journal	September 2003
Energy levels arising from resonant two-body forces in a three-body system Efimov, V. Physics Letters B, Vol. 33, Issue 8 https://doi.org/10.1016/0370-2693(70)90349-7	journal	December 1970
Bragg Spectroscopy of a Strongly Interacting ${}^{85}{Rb}$ Bose-Einstein Condensate Papp, S. B.; Pino, J. M.; Wild, R. J. Physical Review Letters, Vol. 101, Issue 13 https://doi.org/10.1103/PhysRevLett.101.135301	journal	September 2008
Dynamics and Thermodynamics of the Low-Temperature Strongly Interacting Bose Gas Navon, Nir; Piatecki, Swann; Günter, Kenneth Physical Review Letters, Vol. 107, Issue 13 https://doi.org/10.1103/PhysRevLett.107.135301	journal	September 2011
Lifetime of the Bose Gas with Resonant Interactions Rem, B. S.; Grier, A. T.; Ferrier-Barbut, I. Physical Review Letters, Vol. 110, Issue 16 https://doi.org/10.1103/PhysRevLett.110.163202	journal	April 2013
Stability of a Unitary Bose Gas Fletcher, Richard J.; Gaunt, Alexander L.; Navon, Nir Physical Review Letters, Vol. 111, Issue 12 https://doi.org/10.1103/PhysRevLett.111.125303	journal	September 2013
Universal dynamics of a degenerate unitary Bose gas Makotyn, P.; Klauss, C. E.; Goldberger, D. L. Nature Physics, Vol. 10, Issue 2 https://doi.org/10.1038/nphys2850	journal	January 2014
Limits on Universality in Ultracold Three-Boson Recombination D’Incao, J. P.; Suno, H.; Esry, B. D. Physical Review Letters, Vol. 93, Issue 12 https://doi.org/10.1103/PhysRevLett.93.123201	journal	September 2004
Cold Bose Gases with Large Scattering Lengths Cowell, S.; Heiselberg, H.; Mazets, I. E. Physical Review Letters, Vol. 88, Issue 21 https://doi.org/10.1103/PhysRevLett.88.210403	journal	May 2002
Ground State Properties of Cold Bosonic Atoms at Large Scattering Lengths Song, Jun Liang; Zhou, Fei Physical Review Letters, Vol. 103, Issue 2 https://doi.org/10.1103/PhysRevLett.103.025302	journal	July 2009
Universality and stability for a dilute Bose gas with a Feshbach resonance Lee, Yu-Li; Lee, Yu-Wen Physical Review A, Vol. 81, Issue 6 https://doi.org/10.1103/PhysRevA.81.063613	journal	June 2010
Ground state of a resonantly interacting Bose gas Diederix, J. M.; van Heijst, T. C. F.; Stoof, H. T. C. Physical Review A, Vol. 84, Issue 3 https://doi.org/10.1103/PhysRevA.84.033618	journal	September 2011
Three-dimensional Bose gas near a Feshbach resonance Borzov, Dmitry; Mashayekhi, Mohammad S.; Zhang, Shizhong Physical Review A, Vol. 85, Issue 2 https://doi.org/10.1103/PhysRevA.85.023620	journal	February 2012
Bose Gases near Unitarity Li, Weiran; Ho, Tin-Lun Physical Review Letters, Vol. 108, Issue 19 https://doi.org/10.1103/PhysRevLett.108.195301	journal	May 2012
Quench dynamics of a strongly interacting resonant Bose gas Yin, Xiao; Radzihovsky, Leo Physical Review A, Vol. 88, Issue 6 https://doi.org/10.1103/PhysRevA.88.063611	journal	December 2013
Efimov-driven phase transitions of the unitary Bose gas Piatecki, Swann; Krauth, Werner Nature Communications, Vol. 5, Issue 1 https://doi.org/10.1038/ncomms4503	journal	March 2014
Two-Body and Three-Body Contacts for Identical Bosons near Unitarity Smith, D. Hudson; Braaten, Eric; Kang, Daekyoung Physical Review Letters, Vol. 112, Issue 11 https://doi.org/10.1103/PhysRevLett.112.110402	journal	March 2014
Quenching to unitarity: Quantum dynamics in a three-dimensional Bose gas Sykes, A. G.; Corson, J. P.; D'Incao, J. P. Physical Review A, Vol. 89, Issue 2 https://doi.org/10.1103/PhysRevA.89.021601	journal	February 2014
Universal Bose gases near resonance: A rigorous solution Jiang, Shao-Jian; Liu, Wu-Ming; Semenoff, Gordon W. Physical Review A, Vol. 89, Issue 3 https://doi.org/10.1103/PhysRevA.89.033614	journal	March 2014
Monte Carlo simulations of the unitary Bose gas Rossi, Maurizio; Salasnich, Luca; Ancilotto, Francesco Physical Review A, Vol. 89, Issue 4 https://doi.org/10.1103/PhysRevA.89.041602	journal	April 2014
Momentum Distribution of a Dilute Unitary Bose Gas with Three-Body Losses Laurent, Sébastien; Leyronas, Xavier; Chevy, Frédéric Physical Review Letters, Vol. 113, Issue 22 https://doi.org/10.1103/PhysRevLett.113.220601	journal	November 2014
Renormalization-group fixed points, universal phase diagram, and $1 ∕ N$ expansion for quantum liquids with interactions near the unitarity limit Nikolić, Predrag; Sachdev, Subir Physical Review A, Vol. 75, Issue 3 https://doi.org/10.1103/PhysRevA.75.033608	journal	March 2007
Large- $N$ expansion for unitary superfluid Fermi gases Veillette, Martin Y.; Sheehy, Daniel E.; Radzihovsky, Leo Physical Review A, Vol. 75, Issue 4 https://doi.org/10.1103/PhysRevA.75.043614	journal	April 2007
Quantum critical transport in the unitary Fermi gas Enss, Tilman Physical Review A, Vol. 86, Issue 1 https://doi.org/10.1103/PhysRevA.86.013616	journal	July 2012
Equation of state of an interacting Bose gas at finite temperature: A path-integral Monte Carlo study Pilati, S.; Sakkos, K.; Boronat, J. Physical Review A, Vol. 74, Issue 4 https://doi.org/10.1103/PhysRevA.74.043621	journal	October 2006
Virial Expansion for a Strongly Correlated Fermi Gas Liu, Xia-Ji; Hu, Hui; Drummond, Peter D. Physical Review Letters, Vol. 102, Issue 16 https://doi.org/10.1103/PhysRevLett.102.160401	journal	April 2009
Three attractively interacting fermions in a harmonic trap: Exact solution, ferromagnetism, and high-temperature thermodynamics Liu, Xia-Ji; Hu, Hui; Drummond, Peter D. Physical Review A, Vol. 82, Issue 2 https://doi.org/10.1103/PhysRevA.82.023619	journal	August 2010
Exact few-body results for strongly correlated quantum gases in two dimensions Liu, Xia-Ji; Hu, Hui; Drummond, Peter D. Physical Review B, Vol. 82, Issue 5 https://doi.org/10.1103/PhysRevB.82.054524	journal	August 2010
Le troisième coefficient du viriel du gaz de Bose unitaire Castin, Yvan; Werner, Félix Canadian Journal of Physics, Vol. 91, Issue 5 https://doi.org/10.1139/cjp-2012-0569	journal	May 2013
Virial expansion for a strongly correlated Fermi system and its application to ultracold atomic Fermi gases Liu, Xia-Ji Physics Reports, Vol. 524, Issue 2 https://doi.org/10.1016/j.physrep.2012.10.004	journal	March 2013
Energetics of a strongly correlated Fermi gas Tan, Shina Annals of Physics, Vol. 323, Issue 12 https://doi.org/10.1016/j.aop.2008.03.004	journal	December 2008
Large momentum part of a strongly correlated Fermi gas Tan, Shina Annals of Physics, Vol. 323, Issue 12 https://doi.org/10.1016/j.aop.2008.03.005	journal	December 2008
Strongly interacting Bose gas: Nozières and Schmitt-Rink theory and beyond Koetsier, Arnaud; Massignan, P.; Duine, R. A. Physical Review A, Vol. 79, Issue 6 https://doi.org/10.1103/PhysRevA.79.063609	journal	June 2009
Possible Pairing without Superconductivity at Low Carrier Concentrations in Bulk and Thin-Film Superconducting Semiconductors Eagles, D. M. Physical Review, Vol. 186, Issue 2 https://doi.org/10.1103/PhysRev.186.456	journal	October 1969
Bose condensation in an attractive fermion gas: From weak to strong coupling superconductivity Nozi�res, P.; Schmitt-Rink, S. Journal of Low Temperature Physics, Vol. 59, Issue 3-4 https://doi.org/10.1007/BF00683774	journal	May 1985
Crossover from BCS to Bose superconductivity: Transition temperature and time-dependent Ginzburg-Landau theory Sá de Melo, C. A. R.; Randeria, Mohit; Engelbrecht, Jan R. Physical Review Letters, Vol. 71, Issue 19 https://doi.org/10.1103/PhysRevLett.71.3202	journal	November 1993
Equation of state of a superfluid Fermi gas in the BCS-BEC crossover Hu, H.; Liu, X. -J; Drummond, P. D. Europhysics Letters (EPL), Vol. 74, Issue 4 https://doi.org/10.1209/epl/i2006-10023-y	journal	May 2006
Low-density repulsive Fermi gas in two dimensions: Bound-pair excitations and Fermi-liquid behavior Engelbrecht, Jan R.; Randeria, Mohit Physical Review B, Vol. 45, Issue 21 https://doi.org/10.1103/PhysRevB.45.12419	journal	June 1992
Nature and Properties of a Repulsive Fermi Gas in the Upper Branch of the Energy Spectrum Shenoy, Vijay B.; Ho, Tin-Lun Physical Review Letters, Vol. 107, Issue 21 https://doi.org/10.1103/PhysRevLett.107.210401	journal	November 2011
Measurements of Tan’s Contact in an Atomic Bose-Einstein Condensate Wild, R. J.; Makotyn, P.; Pino, J. M. Physical Review Letters, Vol. 108, Issue 14 https://doi.org/10.1103/PhysRevLett.108.145305	journal	April 2012
Universal contact of strongly interacting fermions at finite temperatures Hu, Hui; Liu, Xia-Ji; Drummond, Peter D. New Journal of Physics, Vol. 13, Issue 3 https://doi.org/10.1088/1367-2630/13/3/035007	journal	March 2011
Comparative study of strong-coupling theories of a trapped Fermi gas at unitarity Hu, Hui; Liu, Xia-Ji; Drummond, Peter D. Physical Review A, Vol. 77, Issue 6 https://doi.org/10.1103/PhysRevA.77.061605	journal	June 2008
Universal thermodynamics of a strongly interacting Fermi gas: theory versus experiment Hu, Hui; Liu, Xia-Ji; Drummond, Peter D. New Journal of Physics, Vol. 12, Issue 6 https://doi.org/10.1088/1367-2630/12/6/063038	journal	June 2010
Comparison between theory and experiment for universal thermodynamics of a homogeneous, strongly correlated Fermi gas Hu, Hui; Liu, Xia-Ji; Drummond, Peter D. Physical Review A, Vol. 83, Issue 6 https://doi.org/10.1103/PhysRevA.83.063610	journal	June 2011
The quantum theory of the non-ideal gas. II. Behaviour at low temperatures Beth, Erich; Uhlenbeck, George E. Physica, Vol. 4, Issue 10 https://doi.org/10.1016/S0031-8914(37)80189-5	journal	October 1937
Precise Determination of the Structure Factor and Contact in a Unitary Fermi Gas Hoinka, Sascha; Lingham, Marcus; Fenech, Kristian Physical Review Letters, Vol. 110, Issue 5 https://doi.org/10.1103/PhysRevLett.110.055305	journal	January 2013

Cited By (2)

Large- N properties of a non-ideal Bose gas Hryhorchak, Orest; Pastukhov, Volodymyr Journal of Physics A: Mathematical and Theoretical, Vol. 52, Issue 2 https://doi.org/10.1088/1751-8121/aaede7	journal	December 2018
Large-$N$ properties of a non-ideal Bose gas Hryhorchak, Orest; Pastukhov, Volodymyr arXiv https://doi.org/10.48550/arxiv.1805.10142	text	January 2018

Similar Records

Two-band description of resonant superfluidity in atomic Fermi gases

Journal Article · Mon Feb 23 00:00:00 EST 2015 · Physical Review A - Atomic, Molecular, and Optical Physics · OSTI ID:1247143

He, Lianyi; Hu, Hui; Liu, Xia -Ji

Quantum fluctuations in the BCS-BEC crossover of two-dimensional Fermi gases

Journal Article · Fri Aug 14 00:00:00 EDT 2015 · Physical Review A - Atomic, Molecular, and Optical Physics · OSTI ID:1247143

He, Lianyi; Lu, Haifeng; Cao, Gaoqing; +2 more

Superfluid density and Berezinskii-Kosterlitz-Thouless transition of a spin-orbit-coupled Fulde-Ferrell superfluid

Journal Article · Mon Feb 09 00:00:00 EST 2015 · Physical Review A - Atomic, Molecular, and Optical Physics · OSTI ID:1247143

Cao, Ye; Liu, Xia -Ji; He, Lianyi; +2 more

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
strongly interacting Bose gas
Tan's contact
large-N expansion

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

Citation Formats

References (58)

Cited By (2)

Similar Records

Related Subjects