A collective statistical potential for identical fermions is repulsive for pairs but develops attractions for N≥3 whose minima coincide with Pauli crystals, providing their energetic origin and revealing inner-shell attraction for large N.
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A post-processing sign-blocking technique mitigates the fermion sign problem by using data blocking to infer system energies from sign-energy correlations in Monte Carlo samples.
Linearized time-dependent BCS theory implemented via the fluctuation-dissipation theorem is the minimal mean-field framework for pair distribution functions in a homogeneous unpolarized superfluid Fermi gas, capturing phonon effects and short-distance corrections missed by static BCS.
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Statistical Potential for Identical Fermions: Emergent Attraction and Pauli Crystal Formation
A collective statistical potential for identical fermions is repulsive for pairs but develops attractions for N≥3 whose minima coincide with Pauli crystals, providing their energetic origin and revealing inner-shell attraction for large N.
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A sign-blocking method for mitigating the fermion sign problem
A post-processing sign-blocking technique mitigates the fermion sign problem by using data blocking to infer system energies from sign-energy correlations in Monte Carlo samples.
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Pair distribution functions of a superfluid spin-1/2 Fermi gas with contact interactions in the linearized time-dependent BCS theory
Linearized time-dependent BCS theory implemented via the fluctuation-dissipation theorem is the minimal mean-field framework for pair distribution functions in a homogeneous unpolarized superfluid Fermi gas, capturing phonon effects and short-distance corrections missed by static BCS.