Thermodynamics of Trapped Imbalanced Fermi Gases at Unitarity

Diederix, J. M.; Stoof, H. T. C.

doi:10.1007/978-3-642-21978-8_13

“…It was shown in Ref. [226] that the effect of this anisotropy is actually small, which also agrees with the experimental results of Shin et al that find a gas cloud which follow the equipotential lines of the trap very closely. To get the order-parameter profile for ∆ (r), we solve the Euler-Lagrange equation for the spherically symmetric case with γ determined by Eq.…”

Section: Resultssupporting

confidence: 90%

“…(100) and computing the difference with Ω[0; µ, h c ] then results after division by the area in the surface tension. There is also a more elegant way to compute the surface tension σ, which does not explicitly require the shape of the interface [226]. Namely, we have that…”

Section: Surface Tensionmentioning

confidence: 99%

Imbalanced Fermi gases at unitarity

Gubbels

¹

,

Stoof

²

2013

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We consider imbalanced Fermi gases with strong attractive interactions, for which Cooper-pair formation plays an important role. The two-component mixtures consist either of identical fermionic atoms in two different hyperfine states, or of two different atomic species both occupying only a single hyperfine state. In both cases, the number of atoms for each component is allowed to be different, which leads to a spin imbalance, or spin polarization. Two different atomic species also lead to a mass imbalance. Imbalanced Fermi gases are relevant to condensed-matter physics, nuclear physics and astroparticle physics. They have been studied intensively in recent years, following their experimental realization in ultracold atomic Fermi gases. The experimental control in such a system allows for a systematic study of the equation of state and the phase diagram as a function of temperature, spin polarization and interaction strength. In this review, we discuss the progress in understanding strongly-interacting imbalanced Fermi gases, where a main goal is to describe the results of the highly controlled experiments. We start by discussing Feshbach resonances, after which we treat the imbalanced Fermi gas in mean-field theory to give an introduction to the relevant physics. We encounter several unusual superfluid phases, including phase-separation, gapless Sarma superfluidity, and supersolidity. To obtain a more quantitative description of the experiments, we review also more sophisticated techniques, such as diagrammatic methods and the renormalization-group theory. We end the review by discussing two theoretical approaches to treat the inhomogeneous imbalanced Fermi gas, namely the Landau-Ginzburg theory and the Bogoliubov-de Gennes approach.

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“…There is also a more elegant way to compute the surface tension σ, which does not explicitly require the shape of the interface [226]. Namely, we have that…”

Section: Surface Tensionmentioning

confidence: 99%

Imbalanced Fermi Gases at Unitarity

Gubbels,

Stoof

2012

Preprint

Self Cite

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We consider imbalanced Fermi gases with strong attractive interactions, for which Cooper-pair formation plays an important role. The two-component mixtures consist either of identical fermionic atoms in two different hyperfine states, or of two different atomic species both occupying only a single hyperfine state. In both cases, the number of atoms for each component is allowed to be different, which leads to a spin imbalance, or spin polarization. Two different atomic species also lead to a mass imbalance. Imbalanced Fermi gases are relevant to condensed-matter physics, nuclear physics and astroparticle physics. They have been studied intensively in recent years, following their experimental realization in ultracold atomic Fermi gases. The experimental control in such a system allows for a systematic study of the equation of state and the phase diagram as a function of temperature, spin polarization and interaction strength. In this review, we discuss the progress in understanding strongly-interacting imbalanced Fermi gases, where a main goal is to describe the results of the highly controlled experiments. We start by discussing Feshbach resonances, after which we treat the imbalanced Fermi gas in mean-field theory to give an introduction to the relevant physics. We encounter several unusual superfluid phases, including phase-separation, gapless Sarma superfluidity, and supersolidity. To obtain a more quantitative description of the experiments, we review also more sophisticated techniques, such as diagrammatic methods and the renormalization-group theory. We end the review by discussing two theoretical approaches to treat the inhomogeneous imbalanced Fermi gas, namely the Landau-Ginzburg theory and the Bogoliubov-de Gennes approach.

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A critical review of microbiological colonisation of nano- and microplastics (NMP) and their significance to the food chain

Walker¹,

Baker‐Austin²,

Smith³

et al. 2022

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Microplastics are extremely small mixed shaped plastic debris in the environment. These plastics are manufactured (primary microplastics) or formed from the breakdown of larger plastics once they enter the terrestrial, freshwater and marine environments (secondary microplastics). Over time, a combination of physical, photochemical and biological processes can reduce the structural integrity of plastic debris to produce microplastics and even further to produce nanoplastics. NMPs have been detected in both the aquatic and terrestrial environments and can be easily spread by water, soil and air and can be ingested by a wide range of organisms. For example, NMPs have been found in the guts of fish and bivalve shellfish. Microplastics have also been detected in food and in human faeces. Therefore, NMPs are not only found in the environment, but they may contaminate the food supply chain and be ingested by consumers. There is evidence suggesting that microorganisms are able to colonise the surfaces of microplastics and aggregates of nanoplastics. However, the risk to consumers posed by NMPs colonised with microorganisms (including those that are AMR) which enter the food supply chain is currently unknown.

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Thermodynamics of Trapped Imbalanced Fermi Gases at Unitarity

Cited by 3 publications

References 28 publications

Imbalanced Fermi gases at unitarity

Imbalanced Fermi gases at unitarity

Imbalanced Fermi Gases at Unitarity

A critical review of microbiological colonisation of nano- and microplastics (NMP) and their significance to the food chain

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