Operator product expansion beyond leading order for two-component fermions
- 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.
- 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
Web of Science
Cold atom quantum simulator for dilute neutron matter
|
journal | February 2019 |
Cold Atom Quantum Simulator for Dilute Neutron Matter | text | January 2019 |
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