Quantum fluctuations in the BCS-BEC crossover of two-dimensional Fermi gases
Abstract
We present a theoretical study of the ground state of the BCS-BEC crossover in dilute two-dimensional Fermi gases. While the mean-field theory provides a simple and analytical equation of state, the pressure is equal to that of a noninteracting Fermi gas in the entire BCS-BEC crossover, which is not consistent with the features of a weakly interacting Bose condensate in the BEC limit and a weakly interacting Fermi liquid in the BCS limit. The inadequacy of the two-dimensional mean-field theory indicates that the quantum fluctuations are much more pronounced than those in three dimensions. In this work, we show that the inclusion of the Gaussian quantum fluctuations naturally recovers the above features in both the BEC and the BCS limits. In the BEC limit, the missing logarithmic dependence on the boson chemical potential is recovered by the quantum fluctuations. Near the quantum phase transition from the vacuum to the BEC phase, we compare our equation of state with the known grand canonical equation of state of two-dimensional Bose gases and determine the ratio of the composite boson scattering length aB to the fermion scattering length a2D. We find aB ≃ 0.56a2D, in good agreement with the exact four-body calculation. Asmore »
- Authors:
-
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Univ. of Electronic Science and Technology of China, Chengdu (China)
- Tsinghua Univ., Beijing (China)
- Swinburne Univ. of Technology, Melbourne (Australia)
- Publication Date:
- Research Org.:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1247301
- Alternate Identifier(s):
- OSTI ID: 1210112
- Report Number(s):
- LA-UR-15-24447
Journal ID: ISSN 1050-2947; PLRAAN
- Grant/Contract Number:
- AC02-05CH11231; 61474018; 11335005; 2013CB922000; 2014CB845400; FT130100815; FT140100003; DP140103231; DP140100637; AC52-06NA25396
- Resource Type:
- Journal Article: Accepted Manuscript
- Journal Name:
- Physical Review A - Atomic, Molecular, and Optical Physics
- Additional Journal Information:
- Journal Volume: 92; Journal Issue: 2; 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; BCS-BEC crossover; two-dimensional Fermi gas; quantum fluctuation
Citation Formats
He, Lianyi, Lu, Haifeng, Cao, Gaoqing, Hu, Hui, and Liu, Xia -Ji. Quantum fluctuations in the BCS-BEC crossover of two-dimensional Fermi gases. United States: N. p., 2015.
Web. doi:10.1103/PhysRevA.92.023620.
He, Lianyi, Lu, Haifeng, Cao, Gaoqing, Hu, Hui, & Liu, Xia -Ji. Quantum fluctuations in the BCS-BEC crossover of two-dimensional Fermi gases. United States. https://doi.org/10.1103/PhysRevA.92.023620
He, Lianyi, Lu, Haifeng, Cao, Gaoqing, Hu, Hui, and Liu, Xia -Ji. 2015.
"Quantum fluctuations in the BCS-BEC crossover of two-dimensional Fermi gases". United States. https://doi.org/10.1103/PhysRevA.92.023620. https://www.osti.gov/servlets/purl/1247301.
@article{osti_1247301,
title = {Quantum fluctuations in the BCS-BEC crossover of two-dimensional Fermi gases},
author = {He, Lianyi and Lu, Haifeng and Cao, Gaoqing and Hu, Hui and Liu, Xia -Ji},
abstractNote = {We present a theoretical study of the ground state of the BCS-BEC crossover in dilute two-dimensional Fermi gases. While the mean-field theory provides a simple and analytical equation of state, the pressure is equal to that of a noninteracting Fermi gas in the entire BCS-BEC crossover, which is not consistent with the features of a weakly interacting Bose condensate in the BEC limit and a weakly interacting Fermi liquid in the BCS limit. The inadequacy of the two-dimensional mean-field theory indicates that the quantum fluctuations are much more pronounced than those in three dimensions. In this work, we show that the inclusion of the Gaussian quantum fluctuations naturally recovers the above features in both the BEC and the BCS limits. In the BEC limit, the missing logarithmic dependence on the boson chemical potential is recovered by the quantum fluctuations. Near the quantum phase transition from the vacuum to the BEC phase, we compare our equation of state with the known grand canonical equation of state of two-dimensional Bose gases and determine the ratio of the composite boson scattering length aB to the fermion scattering length a2D. We find aB ≃ 0.56a2D, in good agreement with the exact four-body calculation. As a result, we compare our equation of state in the BCS-BEC crossover with recent results from the quantum Monte Carlo simulations and the experimental measurements and find good agreements.},
doi = {10.1103/PhysRevA.92.023620},
url = {https://www.osti.gov/biblio/1247301},
journal = {Physical Review A - Atomic, Molecular, and Optical Physics},
issn = {1050-2947},
number = 2,
volume = 92,
place = {United States},
year = {Fri Aug 14 00:00:00 EDT 2015},
month = {Fri Aug 14 00:00:00 EDT 2015}
}
Web of Science
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- Physical Review A, Vol. 101, Issue 1
Theory of strongly paired fermions with arbitrary short-range interactions
journal, January 2020
- Hu, Jianshen; Wu, Fan; He, Lianyi
- Physical Review A, Vol. 101, Issue 1
Diffusion Monte Carlo study of strongly interacting two-dimensional Fermi gases
journal, February 2016
- Galea, Alexander; Dawkins, Hillary; Gandolfi, Stefano
- Physical Review A, Vol. 93, Issue 2
Strongly correlated Fermi superfluid near an orbital Feshbach resonance: Stability, equation of state, and Leggett mode
journal, October 2016
- He, Lianyi; Wang, Jia; Peng, Shi-Guo
- Physical Review A, Vol. 94, Issue 4
Dimensional crossover in a strongly interacting ultracold atomic Fermi gas
journal, October 2017
- Toniolo, Umberto; Mulkerin, Brendan C.; Vale, Chris J.
- Physical Review A, Vol. 96, Issue 4
Visualizing the BEC-BCS crossover in a two-dimensional Fermi gas: Pairing gaps and dynamical response functions from ab initio computations
journal, December 2017
- Vitali, Ettore; Shi, Hao; Qin, Mingpu
- Physical Review A, Vol. 96, Issue 6
Strongly interacting Sarma superfluid near orbital Feshbach resonances
journal, April 2018
- Zou, Peng; He, Lianyi; Liu, Xia-Ji
- Physical Review A, Vol. 97, Issue 4
Effect of weak disorder on the BCS–BEC crossover in a two-dimensional Fermi gas
journal, April 2017
- Khan, Ayan; Tanatar, B.
- International Journal of Modern Physics B, Vol. 31, Issue 09
Going beyond the BCS level in the superfluid path integral: A consistent treatment of electrodynamics and thermodynamics
journal, May 2016
- Anderson, Brandon M.; Boyack, Rufus; Wu, Chien-Te
- Physical Review B, Vol. 93, Issue 18
Equation of State of Ultracold Fermions in the 2D BEC-BCS Crossover Region
text, January 2015
- Boettcher, I.; Bayha, L.; Kedar, D.
- arXiv
Diffusion Monte Carlo study of strongly interacting two-dimensional Fermi gases
text, January 2015
- Galea, Alexander; Dawkins, Hillary; Gandolfi, Stefano
- arXiv
Strongly correlated Fermi superfluid near an orbital Feshbach resonance: Stability, equation of state and Leggett mode
text, January 2016
- He, Lianyi; Wang, Jia; Peng, Shi-Guo
- arXiv
Pressure profiles of nonuniform two-dimensional atomic Fermi gases
text, January 2016
- Martiyanov, Kirill; Barmashova, Tatiana; Makhalov, Vasiliy
- arXiv
Effect of Weak Disorder on the BCS-BEC crossover in a two-dimensional Fermi Gas
text, January 2016
- Khan, Ayan; Tanatar, B.
- arXiv
Dimensional crossover in a strongly interacting ultracold atomic Fermi gas
text, January 2017
- Toniolo, Umberto; Mulkerin, Brendan C.; Vale, Chris J.
- arXiv
Visualizing the BEC-BCS crossover in the two-dimensional Fermi gas: pairing gaps and dynamical response functions from ab initio computations
text, January 2017
- Vitali, Ettore; Shi, Hao; Qin, Mingpu
- arXiv
A strongly interacting Sarma superfluid near orbital Feshbach resonances
text, January 2018
- Zou, Peng; He, Lianyi; Liu, Xia-Ji
- arXiv
Theory of strongly paired fermions with arbitrary short-range interactions
text, January 2019
- Hu, Jianshen; Wu, Fan; He, Lianyi
- arXiv