Contact interaction in an unitary ultracold Fermi gas
Abstract
An ultracold Fermi atomic gas at unitarity presents universal properties that in the dilute limit can be well described by a contact interaction. By employing a guiding function with correct boundary conditions and making simple modifications to the sampling procedure we are able to calculate the properties of a true contact interaction with the diffusion Monte Carlo method. The results are obtained with small variances. Our calculations for the Bertsch and contact parameters are in excellent agreement with published experiments. The possibility of using a more faithful description of ultracold atomic gases can help uncover additional features of ultracold atomic gases. In addition, this work paves the way to perform quantum Monte Carlo calculations for other systems interacting with contact interactions, where the description using potentials with finite effective range might not be accurate.
- Authors:
-
- Univ. Federal do Goias, GO (Brazil); Arizona State Univ., Tempe, AZ (United States). Dept. of Physics
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Theoretical Division
- Univ. of Campinas (UNICAMP), Sao Paulo (Brazil); Univ. of Colorado, Boulder, CO (United States). National Inst. of Standards and Technology, JILA
- Arizona State Univ., Tempe, AZ (United States). Dept. of Physics
- Publication Date:
- Research Org.:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP); National Science Foundation (NSF)
- OSTI Identifier:
- 1329861
- Alternate Identifier(s):
- OSTI ID: 1234069
- Report Number(s):
- LA-UR-15-23861
Journal ID: ISSN 1050-2947
- Grant/Contract Number:
- AC52-06NA25396; PHY-1404405; AC02-05CH11231
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review A - Atomic, Molecular, and Optical Physics
- Additional Journal Information:
- Journal Volume: 92; Journal Issue: 6; Journal ID: ISSN 1050-2947
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 74 ATOMIC AND MOLECULAR PHYSICS; 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Atomic and Nuclear Physics
Citation Formats
Pessoa, Renato, Gandolfi, Stefano, Vitiello, S. A., and Schmidt, Kevin E. Contact interaction in an unitary ultracold Fermi gas. United States: N. p., 2015.
Web. doi:10.1103/PhysRevA.92.063625.
Pessoa, Renato, Gandolfi, Stefano, Vitiello, S. A., & Schmidt, Kevin E. Contact interaction in an unitary ultracold Fermi gas. United States. https://doi.org/10.1103/PhysRevA.92.063625
Pessoa, Renato, Gandolfi, Stefano, Vitiello, S. A., and Schmidt, Kevin E. Wed .
"Contact interaction in an unitary ultracold Fermi gas". United States. https://doi.org/10.1103/PhysRevA.92.063625. https://www.osti.gov/servlets/purl/1329861.
@article{osti_1329861,
title = {Contact interaction in an unitary ultracold Fermi gas},
author = {Pessoa, Renato and Gandolfi, Stefano and Vitiello, S. A. and Schmidt, Kevin E.},
abstractNote = {An ultracold Fermi atomic gas at unitarity presents universal properties that in the dilute limit can be well described by a contact interaction. By employing a guiding function with correct boundary conditions and making simple modifications to the sampling procedure we are able to calculate the properties of a true contact interaction with the diffusion Monte Carlo method. The results are obtained with small variances. Our calculations for the Bertsch and contact parameters are in excellent agreement with published experiments. The possibility of using a more faithful description of ultracold atomic gases can help uncover additional features of ultracold atomic gases. In addition, this work paves the way to perform quantum Monte Carlo calculations for other systems interacting with contact interactions, where the description using potentials with finite effective range might not be accurate.},
doi = {10.1103/PhysRevA.92.063625},
journal = {Physical Review A - Atomic, Molecular, and Optical Physics},
number = 6,
volume = 92,
place = {United States},
year = {Wed Dec 16 00:00:00 EST 2015},
month = {Wed Dec 16 00:00:00 EST 2015}
}
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Works referenced in this record:
Feshbach resonances in ultracold gases
journal, April 2010
- Chin, Cheng; Grimm, Rudolf; Julienne, Paul
- Reviews of Modern Physics, Vol. 82, Issue 2
Theory of ultracold atomic Fermi gases
journal, October 2008
- Giorgini, Stefano; Pitaevskii, Lev P.; Stringari, Sandro
- Reviews of Modern Physics, Vol. 80, Issue 4
Critical Velocity in the BEC-BCS Crossover
journal, March 2015
- Weimer, Wolf; Morgener, Kai; Singh, Vijay Pal
- Physical Review Letters, Vol. 114, Issue 9
A mixture of Bose and Fermi superfluids
journal, July 2014
- Ferrier-Barbut, I.; Delehaye, M.; Laurent, S.
- Science, Vol. 345, Issue 6200
Second sound and the superfluid fraction in a Fermi gas with resonant interactions
journal, May 2013
- Sidorenkov, Leonid A.; Tey, Meng Khoon; Grimm, Rudolf
- Nature, Vol. 498, Issue 7452
Effective-range dependence of resonantly interacting fermions
journal, November 2012
- Forbes, Michael McNeil; Gandolfi, Stefano; Gezerlis, Alexandros
- Physical Review A, Vol. 86, Issue 5
Superfluid Fermi Gases with Large Scattering Length
journal, July 2003
- Carlson, J.; Chang, S. -Y.; Pandharipande, V. R.
- Physical Review Letters, Vol. 91, Issue 5
Equation of State of a Fermi Gas in the BEC-BCS Crossover: A Quantum Monte Carlo Study
journal, November 2004
- Astrakharchik, G. E.; Boronat, J.; Casulleras, J.
- Physical Review Letters, Vol. 93, Issue 20
Normal State of a Polarized Fermi Gas at Unitarity
journal, November 2006
- Lobo, C.; Recati, A.; Giorgini, S.
- Physical Review Letters, Vol. 97, Issue 20
BEC-BCS crossover and universal relations in unitary Fermi gases
journal, April 2011
- Gandolfi, S.; Schmidt, K. E.; Carlson, J.
- Physical Review A, Vol. 83, Issue 4
High-fidelity pseudopotentials for the contact interaction
journal, September 2014
- Bugnion, P. O.; López Ríos, P.; Needs, R. J.
- Physical Review A, Vol. 90, Issue 3
Ferromagnetism in the upper branch of the Feshbach resonance and the hard-sphere Fermi gas
journal, December 2010
- Chang, Soon-Yong; Randeria, Mohit; Trivedi, Nandini
- Proceedings of the National Academy of Sciences, Vol. 108, Issue 1
Itinerant Ferromagnetism of a Repulsive Atomic Fermi Gas: A Quantum Monte Carlo Study
journal, July 2010
- Pilati, S.; Bertaina, G.; Giorgini, S.
- Physical Review Letters, Vol. 105, Issue 3
Monte Carlo simulations of the unitary Bose gas
journal, April 2014
- Rossi, Maurizio; Salasnich, Luca; Ancilotto, Francesco
- Physical Review A, Vol. 89, Issue 4
Quantum Monte Carlo Study of a Resonant Bose-Fermi Mixture
journal, March 2013
- Bertaina, G.; Fratini, E.; Giorgini, S.
- Physical Review Letters, Vol. 110, Issue 11
Quantum Monte Carlo simulations of solids
journal, January 2001
- Foulkes, W. M. C.; Mitas, L.; Needs, R. J.
- Reviews of Modern Physics, Vol. 73, Issue 1
Quantum Monte Carlo studies of superfluid Fermi gases
journal, October 2004
- Chang, S. Y.; Pandharipande, V. R.; Carlson, J.
- Physical Review A, Vol. 70, Issue 4
Monte Carlo Calculations for Fermi Gases in the Unitary Limit with a Zero-Range Interaction
journal, February 2015
- Pessoa, Renato; Vitiello, S. A.; Schmidt, K. E.
- Journal of Low Temperature Physics, Vol. 180, Issue 1-2
Generalized Lanczos algorithm for variational quantum Monte Carlo
journal, June 2001
- Sorella, Sandro
- Physical Review B, Vol. 64, Issue 2
Incorporating exact two-body propagators for zero-range interactions into -body Monte Carlo simulations
journal, April 2015
- Yan, Yangqian; Blume, D.
- Physical Review A, Vol. 91, Issue 4
Quantum Monte Carlo approaches to nuclear and atomic physics
journal, January 2012
- Carlson, J.; Gandolfi, Stefano; Gezerlis, Alexandros
- Progress of Theoretical and Experimental Physics, Vol. 2012, Issue 1
Quantum Monte Carlo methods for nuclear physics
journal, September 2015
- Carlson, J.; Gandolfi, S.; Pederiva, F.
- Reviews of Modern Physics, Vol. 87, Issue 3
Revealing the Superfluid Lambda Transition in the Universal Thermodynamics of a Unitary Fermi Gas
journal, January 2012
- Ku, M. J. H.; Sommer, A. T.; Cheuk, L. W.
- Science, Vol. 335, Issue 6068
Precise Characterization of Feshbach Resonances Using Trap-Sideband-Resolved RF Spectroscopy of Weakly Bound Molecules
journal, March 2013
- Zürn, G.; Lompe, T.; Wenz, A. N.
- Physical Review Letters, Vol. 110, Issue 13
Resonantly Interacting Fermions in a Box
journal, June 2011
- Forbes, Michael McNeil; Gandolfi, Stefano; Gezerlis, Alexandros
- Physical Review Letters, Vol. 106, Issue 23
Auxiliary-field quantum Monte Carlo method for strongly paired fermions
journal, December 2011
- Carlson, J.; Gandolfi, Stefano; Schmidt, Kevin E.
- Physical Review A, Vol. 84, Issue 6
Energetics of a strongly correlated Fermi gas
journal, December 2008
- Tan, Shina
- Annals of Physics, Vol. 323, Issue 12
Large momentum part of a strongly correlated Fermi gas
journal, December 2008
- Tan, Shina
- Annals of Physics, Vol. 323, Issue 12
Generalized virial theorem and pressure relation for a strongly correlated Fermi gas
journal, December 2008
- Tan, Shina
- Annals of Physics, Vol. 323, Issue 12
Universal properties of the ultracold Fermi gas
journal, February 2009
- Zhang, Shizhong; Leggett, Anthony J.
- Physical Review A, Vol. 79, Issue 2
Precise Determination of the Structure Factor and Contact in a Unitary Fermi Gas
journal, January 2013
- Hoinka, Sascha; Lingham, Marcus; Fenech, Kristian
- Physical Review Letters, Vol. 110, Issue 5
Breakdown of the Fermi Liquid Description for Strongly Interacting Fermions
journal, February 2015
- Sagi, Yoav; Drake, Tara E.; Paudel, Rabin
- Physical Review Letters, Vol. 114, Issue 7
Verification of Universal Relations in a Strongly Interacting Fermi Gas
journal, June 2010
- Stewart, J. T.; Gaebler, J. P.; Drake, T. E.
- Physical Review Letters, Vol. 104, Issue 23
Precise Determination of the Structure Factor and Contact in a Unitary Fermi Gas
text, January 2013
- Hui, Hu,; Stefano, Gandolfi,; E., Drut, Joaquín
- The University of North Carolina at Chapel Hill University Libraries
Verification of universal relations in a strongly interacting Fermi gas
text, January 2010
- Stewart, J. T.; Gaebler, J. P.; Drake, T. E.
- arXiv
Itinerant ferromagnetism of a repulsive atomic Fermi gas: a quantum Monte Carlo study
text, January 2010
- Pilati, S.; Bertaina, G.; Giorgini, S.
- arXiv
BEC-BCS crossover and universal relations in unitary Fermi gases
text, January 2010
- Gandolfi, S.; Schmidt, K. E.; Carlson, J.
- arXiv
Revealing the Superfluid Lambda Transition in the Universal Thermodynamics of a Unitary Fermi Gas
text, January 2011
- Ku, Mark J. H.; Sommer, Ariel T.; Cheuk, Lawrence W.
- arXiv
Precise determination of the structure factor and contact in a unitary Fermi gas
text, January 2012
- Hoinka, Sascha; Lingham, Marcus; Fenech, Kristian
- arXiv
Quantum Monte Carlo Study of a Resonant Bose-Fermi Mixture
text, January 2012
- Bertaina, G.; Fratini, E.; Giorgini, S.
- arXiv
Monte Carlo Simulations of the Unitary Bose Gas
text, January 2014
- Rossi, Maurizio; Salasnich, Luca; Ancilotto, Francesco
- arXiv
A Mixture of Bose and Fermi Superfluids
text, January 2014
- Ferrier-Barbut, Igor; Delehaye, Marion; Laurent, Sebastien
- arXiv
The critical velocity in the BEC-BCS crossover
text, January 2014
- Weimer, Wolf; Morgener, Kai; Singh, Vijay Pal
- arXiv
Breakdown of Fermi liquid description for strongly interacting fermions
text, January 2014
- Sagi, Yoav; Drake, Tara E.; Paudel, Rabin
- arXiv
Monte Carlo calculations for Fermi gases in the unitary limit with a zero-range interaction
text, January 2014
- Pessoa, Renato; Vitiello, S. A.; Schmidt, K. E.
- arXiv
Incorporating exact two-body propagators for zero-range interactions into $N$-body Monte Carlo simulations
text, January 2015
- Yan, Yangqian; Blume, D.
- arXiv
Generalized Lanczos Algorithm for Variational Quantum Monte Carlo
text, January 2000
- Sorella, S.
- arXiv
Works referencing / citing this record:
Zero-range Fermi gas along the BCS-BEC crossover
journal, November 2019
- Pessoa, Renato; Vitiello, S. A.; Schmidt, K. E.
- Physical Review A, Vol. 100, Issue 5
Bose polaron problem: Effect of mass imbalance on binding energy
journal, December 2016
- Ardila, L. A. Peña; Giorgini, S.
- Physical Review A, Vol. 94, Issue 6
Effective-range dependence of resonant Fermi gases
text, January 2017
- Schonenberg, Lars; Conduit, Gareth
- Apollo - University of Cambridge Repository