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arXiv 1408.0476cond-mat.quant-gascond-mat.supr-con
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有限温度下的准二维费米气体

Quasi-two-dimensional Fermi gases at finite temperature

Andrea M. Fischer, Meera M. Parish

摘要:

本文考虑了具有短程吸引相互作用的费米气体,它被紧谐势限制在一个方向上。对于这种准二维费米气体,我们计算的压力状态方程,射频频谱,和超流临界温度$T_c$使用平均场论,占所有的能级的谐波约束。我们的计算$T_c$提供了一个自然的推广的准二维几何的无偏准则,它正确地减少到3D的表达来自本地密度近似的限制,其中的限制频率$ω_z \to 0$。此外,我们的研究结果表明,$T_c$可以通过放宽限制和扰动远离2D限制。

英文摘要:

We consider a Fermi gas with short-range attractive interactions that is confined along one direction by a tight harmonic potential. For this quasi-two-dimensional (quasi-2D) Fermi gas, we compute the pressure equation of state, radio frequency spectrum, and the superfluid critical temperature $T_c$ using a mean-field theory that accounts for all the energy levels of the harmonic confinement. Our calculation for $T_c$ provides a natural generalization of the Thouless criterion to the quasi-2D geometry, and it correctly reduces to the 3D expression derived from the local density approximation in the limit where the confinement frequency $ω_z \to 0$. Furthermore, our results suggest that $T_c$ can be enhanced by relaxing the confinement and perturbing away from the 2D limit.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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