Abstract:For over twenty years, ultra‐cold atomic systems have formed an almost perfect arena for simulating different quantum many‐body phenomena and exposing their non‐obvious and very often counterintuitive features. Thanks to extremely precise controllability of different parameters they are able to capture different quantum properties which were previously recognized only as theoretical curiosities. Herein, the current experimental progress in exploring the curious 1D quantum world of fermions is traced from the p… Show more
“…It is argued that systems with reduced dimensionality (particularly one-dimensional systems) may serve as a promising bypassing platforms for FFLO detection 20 – 27 . For recent reviews see 28 , 29 . The universal nature of such correlations in different number of spatial dimensions can be seen through the variety of physical systems that are studied.…”
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.
“…It is argued that systems with reduced dimensionality (particularly one-dimensional systems) may serve as a promising bypassing platforms for FFLO detection 20 – 27 . For recent reviews see 28 , 29 . The universal nature of such correlations in different number of spatial dimensions can be seen through the variety of physical systems that are studied.…”
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.
“…It is argued that systems with reduced dimensionality (particularly one-dimensional systems) may serve as a promising bypassing platforms for FFLO detection [20][21][22][23][24][25][26][27]. For recent reviews see [28,29].…”
Attractively interacting two-component mixtures of fermionic particles confined in a onedimensional 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 nonclassical 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.
“…The high degree of control over cold-atom setups has allowed experimentalists to generate asymmetries in the spin populations [67][68][69][70][71], making such systems ideal for observing the elusive unconventional pairing mechanism * jsilvav@unal.edu.co named after Fulde, Ferrell, Larkin, and Ovchinnikov (FFLO) [72,73]. However, the effect of spin population imbalance on Bose-Fermi mixtures has been barely explored.…”
We investigate an imbalanced mixture composed of two-color fermions and scalar bosons in the hard-core limit, considering repulsive and attractive interspecies and intraspecies interactions. The interplay between commensurability, repulsive interactions and imbalance generates three insulating phases: a mixed Mott state and two spin-selective insulators characterized by the commensurability relations ρB + ρ ↑,(↓) F = 1. For an attractive coupling between fermions and bosons, we found the relations ρB − ρ ↑,(↓) F = 0 for the spin-selective insulators. State-of-the-art cold-atoms setups constitute ideal platforms to implement these unveiled insulating states and verify their commensurability relations.
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