Universal Properties of the Higgs Resonance in (2+1)-Dimensional U(1) Critical Systems

被引：37
作者：
Chen, Kun [1 ,2 ,3 ]
Liu, Longxiang [1 ,2 ]
Deng, Youjin [1 ,2 ,3 ]
Pollet, Lode [4 ,5 ]
Prokof'ev, Nikolay [3 ,6 ]
机构：
[1] Univ Sci & Technol China, Natl Lab Phys Sci Microscale, Hefei 230026, Anhui, Peoples R China
[2] Univ Sci & Technol China, Dept Modern Phys, Hefei 230026, Anhui, Peoples R China
[3] Univ Massachusetts, Dept Phys, Amherst, MA 01003 USA
[4] Univ Munich, Dept Phys, D-80333 Munich, Germany
[5] Univ Munich, Arnold Sommerfeld Ctr Theoret Phys, D-80333 Munich, Germany
[6] Russian Res Ctr, Kurchatov Inst, Moscow 123182, Russia
来源：
PHYSICAL REVIEW LETTERS | 2013年 / 110卷 / 17期
基金：
美国国家科学基金会;
关键词：
QUANTUM; DYNAMICS;
D O I：
10.1103/PhysRevLett.110.170403
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We present spectral functions for the magnitude squared of the order parameter in the scaling limit of the two-dimensional superfluid to Mott insulator quantum phase transition at constant density, which has emergent particle-hole symmetry and Lorentz invariance. The universal functions for the superfluid, Mott insulator, and normal liquid phases reveal a low-frequency resonance which is relatively sharp and is followed by a damped oscillation (in the first two phases only) before saturating to the quantum critical plateau. The counterintuitive resonance feature in the insulating and normal phases calls for deeper understanding of collective modes in the strongly coupled (2 + 1)-dimensional relativistic field theory. Our results are derived from analytically continued correlation functions obtained from path-integral Monte Carlo simulations of the Bose-Hubbard model. DOI: 10.1103/PhysRevLett.110.170403
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页数：5
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