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Du, YQ; Lan, SQ; Tian, Y; Zhang, HB; Du, YQ (reprint author), Univ Chinese Acad Sci, Sch Phys, Beijing 100049, Peoples R China.
Dynamical stability of the holographic system with two competing orders
Source PublicationJOURNAL OF HIGH ENERGY PHYSICS
Language英语
KeywordGauge-gravity Correspondence Ads-cft Correspondence Black Holes Holography And Condensed Matter Physics (Ads/cmt)
AbstractWe investigate the dynamical stability of the holographic system with two order parameters, which exhibits competition and coexistence of condensations. In the linear regime, we have developed the gauge dependent formalism to calculate the quasi-normal modes by gauge fixing, which turns out be considerably convenient. Furthermore, by giving different Gaussian wave packets as perturbations at the initial time, we numerically evolve the full nonlinear system until it arrives at the final equilibrium state. Our results show that the dynamical stability is consistent with the thermodynamical stability. Interestingly, the dynamical evolution, as well as the quasi-normal modes, shows that the relaxation time of this model is generically much longer than the simplest holographic system. We also find that the late time behavior can be well captured by the lowest lying quasi-normal modes except for the non-vanishing order towards the single ordered phase. To our knowledge, this exception is the first counter example to the general belief that the late time behavior towards a final stable state can be captured by the lowest lying quasi-normal modes. In particular, a double relation is found for this exception in certain cases.
2016
Issue1Pages:16
Subject AreaPhysics
DOIhttp://dx.doi.org/10.1007/JHEP01(2016)016
Indexed BySCI
Funding OrganizationNatural Science Foundation of China [11475179, 11235003] ; Natural Science Foundation of China [11475179, 11235003] ; Natural Science Foundation of China [11475179, 11235003] ; Natural Science Foundation of China [11475179, 11235003] ; Belgian Federal Science Policy Office through Interuniversity Attraction Pole [P7/37] ; Belgian Federal Science Policy Office through Interuniversity Attraction Pole [P7/37] ; Belgian Federal Science Policy Office through Interuniversity Attraction Pole [P7/37] ; Belgian Federal Science Policy Office through Interuniversity Attraction Pole [P7/37] ; FWO-Vlaanderen [G020714N] ; FWO-Vlaanderen [G020714N] ; FWO-Vlaanderen [G020714N] ; FWO-Vlaanderen [G020714N] ; Vrije Universiteit Brussel through Strategic Research Program "High-Energy Physics" ; Vrije Universiteit Brussel through Strategic Research Program "High-Energy Physics" ; Vrije Universiteit Brussel through Strategic Research Program "High-Energy Physics" ; Vrije Universiteit Brussel through Strategic Research Program "High-Energy Physics" ; [12G3515N] ; [12G3515N] ; [12G3515N] ; [12G3515N]
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Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/21817
CollectionSCI期刊论文
Corresponding AuthorDu, YQ (reprint author), Univ Chinese Acad Sci, Sch Phys, Beijing 100049, Peoples R China.
Recommended Citation
GB/T 7714
Du, YQ,Lan, SQ,Tian, Y,et al. Dynamical stability of the holographic system with two competing orders[J]. JOURNAL OF HIGH ENERGY PHYSICS,2016(1):16.
APA Du, YQ,Lan, SQ,Tian, Y,Zhang, HB,&Du, YQ .(2016).Dynamical stability of the holographic system with two competing orders.JOURNAL OF HIGH ENERGY PHYSICS(1),16.
MLA Du, YQ,et al."Dynamical stability of the holographic system with two competing orders".JOURNAL OF HIGH ENERGY PHYSICS .1(2016):16.
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