Clock Shift in a Strongly Interacting Two-Dimensional Fermi Gas
Clock Shift in a Strongly Interacting Two-Dimensional Fermi Gas
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DOI：
10.1103/physrevlett.108.060402
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发表时间：
2012-02-09
影响因子：
8.6
通讯作者：
Braaten, Eric
中科院分区：
文献类型：
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作者：
Langmack, Christian;Barth, Marcus;Braaten, Eric
我们推导了二维费米气体的射频光谱的通用关系，该气体由两个自旋态通过s波散射长度相互作用组成。rf跃迁率具有与接触成正比的高频尾，并显示对数尺度违规，如1/(ω (2)ln(2) ω)渐近减小。其系数与ln(2)(a（2D)‘/a(2D)）成正比，其中a（2D）和a(2D)’是与初始状态和最终状态相互作用相关的二维散射长度。时钟位移与接触和ln(a（2D)'/a(2D)）成正比。如果|ln(a(2D)'/a(2D))| >> 1，则时钟移位出现在与有界和无界rf跃迁成正比的ln(2)(a（2D)'/a(2D)）之间的抵消。
We derive universal relations for the rf spectroscopy of a two-dimensional Fermi gas consisting of two spin states interacting through an S-wave scattering length. The rf transition rate has a high-frequency tail that is proportional to the contact and displays logarithmic scaling violations, decreasing asymptotically like 1/(omega(2)ln(2)omega). Its coefficient is proportional to ln(2)(a(2D)'/a(2D)), where a(2D) and a(2D)' are the two-dimensional scattering lengths associated with initial-state and final-state interactions. The clock shift is proportional to the contact and to ln(a(2D)'/a(2D)). If |ln(a(2D)'/a(2D))| >> 1, the clock shift arises as a cancellation between much larger contributions proportional to ln(2)(a(2D)'/a(2D)) from bound-bound and bound-free rf transitions.