Unconventional pairing in few-fermion systems at finite temperature

• URL: http://arxiv.org/abs/2202.07639v3
• Date: Wed, 23 Aug 2023 08:49:05 GMT
• Title: Unconventional pairing in few-fermion systems at finite temperature
• Authors: Daniel P\k{e}cak and Tomasz Sowi\'nski
• Abstract summary: Two-component mixtures of fermionic particles confined in a one-dimensional harmonic trap are investigated. Specific non-classical pairing correlations are analyzed in terms of the noise correlations. 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.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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.

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