Singleparticle spectral density of the unitary Fermi gas: Novel approach based on the operator product expansion, sum rules and the maximum entropy method
Abstract
Making use of the operator product expansion, we derive a general class of sum rules for the imaginary part of the singleparticle selfenergy of the unitary Fermi gas. The sum rules are analyzed numerically with the help of the maximum entropy method, which allows us to extract the singleparticle spectral density as a function of both energy and momentum. These spectral densities contain basic information on the properties of the unitary Fermi gas, such as the dispersion relation and the superfluid pairing gap, for which we obtain reasonable agreement with the available results based on quantum MonteCarlo simulations.
 Authors:

 ECT*, Villa Tambosi, 38123 Villazzano (Trento) (Italy)
 Department of Physics, Keio University, Yokohama 2238522 (Japan)
 RIKEN Nishina Center, Wako, Saitama 3510198 (Japan)
 Department of Physics, Tokyo Institute of Technology, Meguro, Tokyo 1528551 (Japan)
 Publication Date:
 OSTI Identifier:
 22451176
 Resource Type:
 Journal Article
 Journal Name:
 Annals of Physics
 Additional Journal Information:
 Journal Volume: 356; Other Information: Copyright (c) 2015 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 00034916
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; COMPUTERIZED SIMULATION; ENTROPY; FERMI GAS; MONTE CARLO METHOD; OPERATOR PRODUCT EXPANSION; SELFENERGY; SPECTRAL DENSITY; SUM RULES; SUPERFLUIDITY
Citation Formats
Gubler, Philipp, RIKEN Nishina Center, Wako, Saitama 3510198, Yamamoto, Naoki, Hatsuda, Tetsuo, RIKEN iTHES Research Group, Wako, Saitama 3510198, and Nishida, Yusuke. Singleparticle spectral density of the unitary Fermi gas: Novel approach based on the operator product expansion, sum rules and the maximum entropy method. United States: N. p., 2015.
Web. doi:10.1016/J.AOP.2015.03.007.
Gubler, Philipp, RIKEN Nishina Center, Wako, Saitama 3510198, Yamamoto, Naoki, Hatsuda, Tetsuo, RIKEN iTHES Research Group, Wako, Saitama 3510198, & Nishida, Yusuke. Singleparticle spectral density of the unitary Fermi gas: Novel approach based on the operator product expansion, sum rules and the maximum entropy method. United States. doi:10.1016/J.AOP.2015.03.007.
Gubler, Philipp, RIKEN Nishina Center, Wako, Saitama 3510198, Yamamoto, Naoki, Hatsuda, Tetsuo, RIKEN iTHES Research Group, Wako, Saitama 3510198, and Nishida, Yusuke. Fri .
"Singleparticle spectral density of the unitary Fermi gas: Novel approach based on the operator product expansion, sum rules and the maximum entropy method". United States. doi:10.1016/J.AOP.2015.03.007.
@article{osti_22451176,
title = {Singleparticle spectral density of the unitary Fermi gas: Novel approach based on the operator product expansion, sum rules and the maximum entropy method},
author = {Gubler, Philipp and RIKEN Nishina Center, Wako, Saitama 3510198 and Yamamoto, Naoki and Hatsuda, Tetsuo and RIKEN iTHES Research Group, Wako, Saitama 3510198 and Nishida, Yusuke},
abstractNote = {Making use of the operator product expansion, we derive a general class of sum rules for the imaginary part of the singleparticle selfenergy of the unitary Fermi gas. The sum rules are analyzed numerically with the help of the maximum entropy method, which allows us to extract the singleparticle spectral density as a function of both energy and momentum. These spectral densities contain basic information on the properties of the unitary Fermi gas, such as the dispersion relation and the superfluid pairing gap, for which we obtain reasonable agreement with the available results based on quantum MonteCarlo simulations.},
doi = {10.1016/J.AOP.2015.03.007},
journal = {Annals of Physics},
issn = {00034916},
number = ,
volume = 356,
place = {United States},
year = {2015},
month = {5}
}
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