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

引用

页数：5

共 24 条

[1] [Anonymous], 2011, QUANTUM PHASE TRANSI
[2] Non-perturbative renormalization flow in quantum field theory and statistical physics
Berges, J
Tetradis, N
Wetterich, C
[J]. PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2002, 363 (4-6): : 223 - 386
[3] Detecting the Amplitude Mode of Strongly Interacting Lattice Bosons by Bragg Scattering
Bissbort, Ulf
Goetze, Soeren
Li, Yongqiang
Heinze, Jannes
Krauser, Jasper S.
Weinberg, Malte
Becker, Christoph
Sengstock, Klaus
Hofstetter, Walter
[J]. PHYSICAL REVIEW LETTERS, 2011, 106 (20)
[4] High-precision measurement of the thermal exponent for the three-dimensional XY universality class
Burovski, Evgeni
Machta, Jonathan
Prokof'ev, Nikolay
Svistunov, Boris
[J]. PHYSICAL REVIEW B, 2006, 74 (13):
[5] Theoretical estimates of the critical exponents of the superfluid transition in 4He by lattice methods
Campostrini, Massimo
Hasenbusch, Martin
Pelissetto, Andrea
Vicari, Ettore
[J]. PHYSICAL REVIEW B, 2006, 74 (14):
[6] Monte Carlo study of the two-dimensional Bose-Hubbard model
Capogrosso-Sansone, Barbara
Soeyler, Sebnem Guenes
Prokof'ev, Nikolay
Svistunov, Boris
[J]. PHYSICAL REVIEW A, 2008, 77 (01)
[7] THEORY OF 2-DIMENSIONAL QUANTUM HEISENBERG ANTIFERROMAGNETS WITH A NEARLY CRITICAL GROUND-STATE
CHUBUKOV, AV
SACHDEV, S
YE, J
[J]. PHYSICAL REVIEW B, 1994, 49 (17) : 11919 - 11961
[8] Dynamics and thermodynamics of the Bose-Hubbard model
Elstner, N
Monien, H
[J]. PHYSICAL REVIEW B, 1999, 59 (19): : 12184 - 12187
[9] The 'Higgs' amplitude mode at the two-dimensional superfluid/Mott insulator transition
Endres, Manuel
Fukuhara, Takeshi
Pekker, David
Cheneau, Marc
Schauss, Peter
Gross, Christian
Demler, Eugene
Kuhr, Stefan
Bloch, Immanuel
[J]. NATURE, 2012, 487 (7408) : 454 - U64
[10] FISHER MPA, 1989, PHYS REV B, V40, P546, DOI 10.1063/1.38820

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