Unconventional pairing in few-fermion systems at finite temperature

Abstract

Attractively interacting two-component mixtures of fermionic particles confined in a one-dimensional harmonic trap are investigated. Properties of balanced and imbalanced systems are systematically explored with the exact diagonalization approach, focusing on the finite-temperature effects. Using single- and two-particle density distributions, specific non-classical pairing correlations are analyzed in terms of the noise correlations -- quantity directly accessible in state-of-the-art experiments with ultra-cold atoms. It is shown that along with increasing temperature, any imbalanced system hosting Fulde-Ferrel-Larkin-Ovchinnikov pairs crossovers to a standard Bardeen-Cooper-Schrieffer one characterized by zero net momentum of resulting pairs. By performing calculations for systems with different imbalances, the approximate boundary between the two phases on a phase diagram is determined.

All data generated or analysed during this study are available in Zenodo repository DOI:10.5281/zenodo.8220783 see https://zenodo.org/record/8220784

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Cited by in corpus (2)

• Atomic boson-fermion mixtures in 1D box potentials: Few-body and mean-field many-body analyses
• Composite Bosons Superposition Ansatz Approach to One-Dimensional Trapped Few-Fermion Systems