BCS-BEC crossover with a finite-range interaction
Meera M. Parish, Bogdan Mihaila, Eddy M. Timmermans, Krastan B., Blagoev, and Peter B. Littlewood

TL;DR
This paper investigates the BEC-BCS crossover in dilute systems using a realistic finite-range interaction, highlighting spectral changes and convergence to zero-range pseudo-potential results.
Contribution
It provides a detailed analysis of the crossover with finite-range interactions and compares it to zero-range models, offering new insights into the spectral evolution.
Findings
Spectral changes distinguish BEC and BCS regimes.
Finite-range interactions affect crossover characteristics.
Results converge to zero-range pseudo-potential predictions.
Abstract
We study the crossover from BEC to BCS pairing for dilute systems but with a realistic finite-range interaction. We exhibit the changes in the excitation spectrum that provide a clean qualitative distinction between the two limits. We also study how the dilute system converges to the results from a zero-range pseudo-potential derived by Leggett.
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