Effective theory and universal relations for Fermi gases near a d-wave-interaction resonance

Pengfei Zhang; Shizhong Zhang; Zhenhua Yu

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Effective theory and universal relations for Fermi gases near a d-wave-interaction resonance

机译：在D波相互作用谐振附近的费米气体的有效理论和普遍关系

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In this work, we present an effective-field theory to describe a two-component Fermi gas near a d-waveinteraction resonance. The effective-field theory is renormalizable by matching with the low-energy d-wave scattering phase shift. Based on the effective-field theory, we derive universal properties of the Fermi gas by the operator-product-expansion method. We find that beyond the contacts defined by adiabatic theorems, the asymptotic expressions of the momentum distribution and the Raman spectroscopy involve two extra contacts which provide additional information on correlations of the system. Our formalism sets the stage for further explorations of many-body effects in a d-wave resonant Fermi gas. Finally, we generalize our effective-field theory for interaction resonances of arbitrary higher partial waves.

机译：在这项工作中，我们提出了一种有效的现场理论来描述D-波动共振附近的双组分费米气体。通过与低能量D波散射相移匹配，有效场理论是更新的。基于有效场理论，我们通过操作员 - 产品 - 扩展方法导出了Fermi气体的通用性质。我们发现超出了绝热定理所定义的联系人，势头分布的渐近表达和拉曼光谱的渐近表达涉及两个额外的触点，其提供有关系统相关性的附加信息。我们的形式主义设定了进一步探索D波共振费米气体的进一步探索的阶段。最后，我们概括了我们对任意较高部分波的相互作用共振的有效场理论。

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来源
《Physical Review, A》 |2017年第2期|共6页
作者
Pengfei Zhang; Shizhong Zhang; Zhenhua Yu;
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作者单位

Institute for Advanced Study Tsinghua University Beijing 100084 China;

Department of Physics and Center of Theoretical and Computational Physics The University of Hong Kong Hong Kong China;

School of Physics and Astronomy and TianQin Research Center for Gravitational Physics Sun Yat-Sen University Zhuhai 519082 China;

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正文语种 eng
中图分类物理学;分子物理学、原子物理学;原子核物理学、高能物理学;光学;
关键词
Effective theory; universal relations for Fermi gases near a; d-wave-interaction resonance;

机译：有效理论;Fermi气体的普遍关系靠近A;D波相互作用共振;

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1. Effective theory and universal relations for Fermi gases near a d-wave-interaction resonance [J] . Pengfei Zhang, Shizhong Zhang, Zhenhua Yu Physical Review, A . 2017,第4aPta2期

机译：在D波相互作用谐振附近的费米气体的有效理论和普遍关系
2. Publisher's Note: BEC-BCS crossover and universal relations in unitary Fermi gases [Phys. Rev. A 83, 041601(R) (2011)] [J] . S. Gandolfi, K. E. Schmidt, J. Carlson Physical Review, A. Atomic, molecular, and optical physics . 2011,第4aPta2期

机译：发行人注：单一费米气体中的BEC-BCS交叉和通用关系[Phys。 Rev A A 83，041601（R）（2011）]
3. New universal quantities characterizing inhomogeneous Fermi gases at the Feshbach resonance [J] . A. Csordás, O. Almásy, P. Szépfalusy EPL . 2007,第5期

机译：在Feshbach共振中表征不均匀费米气体的新通用量
4. Universal thermodynamics of strongly interacting Fermi gases [C] . Peter D. Drummond, Xia-Ji Liu, Hui Hu European Conference on Lasers Electro-Optics and the International Quantum Electronics Conference . 2007

机译：普遍热力学强烈互动的费米气体
5. Strongly interacting Fermi gases, radio frequency spectroscopy and universality. [D] . Zhang, Shizhong. 2009

机译：强相互作用的费米气体，射频光谱和通用性。
6. Enhancement effect of mass imbalance on Fulde-Ferrell-Larkin-Ovchinnikov type of pairing in Fermi-Fermi mixtures of ultracold quantum gases [O] . Jibiao Wang, Yanming Che, Leifeng Zhang, -1

机译：质量不平衡对超冷量子气体费米-费米混合物中Fulde-Ferrell-Larkin-Ovchinnikov型配对的增强作用
7. Effective theory and universal relations for Fermi gases near a size=-1>_d-wave-interaction resonance [O] . Yu ZH, Zhang S, Zhang PF 2017

机译：size = -1> _{d - 波相互作用共振附近费米气体的有效理论和通用关系}

Effective theory and universal relations for Fermi gases near a d-wave-interaction resonance

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