非简谐势阱中快速旋转玻色气体的TF极限
The TF Limit for Rapidly Rotating Bose Gases in Anharmonic Traps
摘要：
从多体哈密顿量出发，导出了当Gross-Pitaevskii耦合参数和/或旋转速度趋于无穷大时，在“Thomas Fermi”（TF）极限下，非简谐势阱中旋转的稀玻色气体的基态的首阶能量和密度渐近性质.虽然多体波函数被认为具有复杂的相位，但是对能量的首阶贡献可以通过最小化仅密度的简单泛函来计算。
英文摘要：
Starting from the full many body Hamiltonian we derive the leading order energy and density asymptotics for the ground state of a dilute, rotating Bose gas in an anharmonic trap in the ` Thomas Fermi' (TF) limit when the Gross-Pitaevskii coupling parameter and/or the rotation velocity tend to infinity. Although the many-body wave function is expected to have a complicated phase, the leading order contribution to the energy can be computed by minimizing a simple functional of the density alone.
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