Universal relations for dipolar quantum gases

被引:8
|
作者
Hofmann, Johannes [1 ,2 ,3 ]
Zwerger, Wilhelm [4 ]
机构
[1] Univ Cambridge, Ctr Math Sci, Dept Appl Math & Theoret Phys, Cambridge CB3 0WA, England
[2] Univ Cambridge, Cavendish Lab, TCM Grp, Cambridge CB3 0HE, England
[3] Gothenburg Univ, Dept Phys, S-41296 Gothenburg, Sweden
[4] Tech Univ Munich, Phys Dept, James Franck Str, D-85748 Garching, Germany
来源
PHYSICAL REVIEW RESEARCH | 2021年 / 3卷 / 01期
基金
瑞典研究理事会;
关键词
HARD-SPHERE;
D O I
10.1103/PhysRevResearch.3.013088
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We establish that two-dimensional dipolar quantum gases admit a universal description, i.e., their thermodynamic properties are independent of details of the interaction at short distances. The only relevant parameters are the dipole length as well as the scattering length of the combined short-range plus dipolar interaction potential. We derive adiabatic relations that link the change in the thermodynamic potentials with respect to the scattering length and the dipole length to a generalized Tan contact parameter and a new dipolar contact, which involves an integral of a short-distance regularized pair distribution function. These two quantities determine the scale anomaly in the difference between pressure and energy density and also the internal energy in the presence of a harmonic confinement. For a weak transverse confinement, configurations with attractive interactions appear, which lead to a density-wave instability beyond a critical strength of the dipolar interaction. We show that this instability essentially coincides with the onset of a roton minimum in the excitation spectrum and may be understood in terms of a quantum analog of the Hansen-Verlet criterion for freezing of a classical fluid.
引用
收藏
页数:16
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