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@ARTICLE{He:890689,
author = {He, Rongzheng and Li, Ning and Lu, Bing-Nan and Lee, Dean},
title = {{S}uperfluid condensate fraction and pairing wave function
of the unitary {F}ermi gas},
journal = {Physical review / A},
volume = {101},
number = {6},
issn = {2469-9926},
address = {Woodbury, NY},
publisher = {Inst.},
reportid = {FZJ-2021-01131},
pages = {063615},
year = {2020},
abstract = {The unitary Fermi gas is a many-body system of
two-component fermions with zero-range interactions tuned to
infinite scattering length. Despite much activity and
interest in unitary Fermi gases and its universal
properties, there have been great difficulties in performing
accurate calculations of the superfluid condensate fraction
and pairing wave function. In this work we present
auxiliary-field lattice Monte Carlo simulations using a
novel lattice interaction which accelerates the approach to
the continuum limit, thereby allowing for robust
calculations of these difficult observables. As a benchmark
test we compute the ground state energy of 33 spin-up and 33
spin-down particles. As a fraction of the free Fermi gas
energy $E_{FG}$, we find $E_0/E_{FG}=0.369(2),0.372(2)$,
using two different definitions of the finite-system energy
ratio, in agreement with the latest theoretical and
experimental results. We then determine the condensate
fraction by measuring off-diagonal long-range order in the
two-body density matrix. We find that the fraction of
condensed pairs is $α=0.43(2)$. We also extract the pairing
wave function and find the pair correlation length to be
$ζ_pk_F=1.8(3)ℏ$, where $k_F$ is the Fermi momentum.
Provided that the simulations can be performed without
severe sign oscillations, the methods we present here can be
applied to superfluid neutron matter as well as more exotic
P-wave and D-wave superfluids.},
ddc = {530},
pnm = {Nuclear Lattice Simulations $(jara0015_20200501)$},
pid = {$G:(DE-Juel1)jara0015_20200501$},
typ = {PUB:(DE-HGF)16},
doi = {10.1103/PhysRevA.101.063615},
url = {https://juser.fz-juelich.de/record/890689},
}