Spectrum of density and spin density fluctuations of an attractive two-dimensional Fermi gas
arxiv(2024)
摘要
We leverage unbiased auxiliary-field quantum Monte Carlo methods interfaced
with cutting-edge analytic continuation tools to compute from first-principles
dynamical correlations for a dilute homogeneous two-dimensional attractive
Fermi gas. Our main purpose is to quantitatively study the collective
excitations of the system to shed light into fermionic superfluidity in the
strongly correlated regime. Despite the fact that we are somewhat limited by
finite-size effects, our study pinpoints a clear peak in the spin channel at
low momentum, and we discuss the possibility that such a peak can be
interpreted as the Higgs mode in the superfluid. Our study is complemented by a
systematic comparison with the predictions of generalized random phase
approximation, with the dual purpose to directly compare with auxiliary-field
quantum Monte Carlo and to quantitatively study finite-size effects.
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