Operator product expansion beyond leading order for two-component fermions

Emmons, Samuel B.; Kang, Daekyoung; Platter, Lucas

doi:10.1103/PhysRevA.94.043615

Title: Operator product expansion beyond leading order for two-component fermions

Journal Article · Mon Oct 10 00:00:00 EDT 2016 · Physical Review A

DOI:https://doi.org/10.1103/PhysRevA.94.043615· OSTI ID:1564233

Emmons, Samuel B. ^[1]; Kang, Daekyoung ^[2]; Platter, Lucas ^[3]

Univ. of Tennessee, Knoxville, TN (United States)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Univ. of Tennessee, Knoxville, TN (United States) ; Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

Here, we consider a homogeneous, balanced gas of strongly interacting fermions in two spin states interacting through a large scattering length. Finite-range corrections are needed for a quantitative description of data which experiments and numerical simulations have provided. We use a perturbative field-theoretical framework and a tool called the operator product expansion (OPE), which together allow for the expression of finite-range corrections to the universal relations and momentum distribution. By using the OPE, we derive the 1/k⁶ part of the momentum tail, which is related to the sum of the derivative of the energy with respect to the finite range and the averaged kinetic energy of opposite spin pairs. By comparing the 1/k⁴ term and the 1/k⁶ correction in the momentum distribution to provided quantum Monte Carlo (QMC) data, we show that including the 1/k⁶ part offers marked improvements. Our field-theoretical approach enables for a clear understanding of the role of the scattering length and finite effective range in the universal relations and the momentum distribution.

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Research Organization:: Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: AC05-00OR22725; AC52-06NA25396

OSTI ID:: 1564233

Alternate ID(s):: OSTI ID: 1328512

Journal Information:: Physical Review A, Vol. 94, Issue 4; ISSN 2469-9926

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 9 works

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Cold atom quantum simulator for dilute neutron matter Horikoshi, Munekazu; Kuwata-Gonokami, Makoto International Journal of Modern Physics E, Vol. 28, Issue 01n02 https://doi.org/10.1142/s0218301319300017	journal	February 2019
Cold Atom Quantum Simulator for Dilute Neutron Matter Horikoshi, Munekazu; Kuwata-Gonokami, Makoto arXiv https://doi.org/10.48550/arxiv.1901.00985	text	January 2019

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