Ground-state properties of the disordered spin-1 Bose-Hubbard model: A stochastic mean-field theory study

Jesus Herazo Wames; Eduardo Miranda

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Ground-state properties of the disordered spin-1 Bose-Hubbard model: A stochastic mean-field theory study

机译：自旋1 Bose-Hubbard模型的基态性质：随机平均场理论研究

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We study the ground state of the disordered Bose-Hubbard model for spin-1 particles by means of the stochastic mean-field theory. This approach enables the determination of the probability distributions of various physical quantities, such as the superfluid order parameter, the average site occupation number, the standard deviation of the occupation per site and the square of the spin operator per site. We show how a stochastic method, previously used in the study of localization, can be flexibly used to solve the relevant equations with great accuracy. We have determined the phase diagram, which exhibits three phases: the polar superfiuid, the Mott insulating, and the Bose glass. A complete characterization of the physical properties of these phases has been established.

机译：我们通过随机平均场理论研究了spin-1粒子的无序Bose-Hubbard模型的基态。这种方法可以确定各种物理量的概率分布，例如超流体阶数参数，平均站点占用数，每个站点占用的标准差和每个站点旋转运算符的平方。我们展示了以前在定位研究中使用的随机方法如何可以灵活地高精度地求解相关方程。我们确定了具有三个相位的相图：极性超流体，莫特绝缘体和玻色玻璃。已经建立了这些相的物理性质的完整表征。

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《Physical review》 |2012年第21期|p.214532.1-214532.13|共13页
作者
Jesus Herazo Wames; Eduardo Miranda;
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Instituto de Fisica Gleb Wataghin, Unicamp, Rua Sergio Buarque de Holanda, 777, CEP 13083-859, Campinas, SP, Brazil;

Instituto de Fisica Gleb Wataghin, Unicamp, Rua Sergio Buarque de Holanda, 777, CEP 13083-859, Campinas, SP, Brazil;

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1. Stochastic mean-field theory: Method and application to the disordered Bose-Hubbard model at finite temperature and speckle disorder [J] . Ulf Bissbort, Ronny Thomale, Walter Hofstetter Physical Review, A. Atomic, molecular, and optical physics . 2010,第6aPta2期

机译：随机平均场理论：在有限温度和斑点斑点下无序Bose-Hubbard模型的方法和应用
2. Stochastic mean-field theory for the disordered Bose-Hubbard model [J] . U. BISSBORT, W. HOFSTETTER EPL . 2009,第5期

机译：无序Bose-Hubbard模型的随机平均场理论
3. Phases and transitions in the spin-1 Bose-Hubbard model: Systematics of a mean-field theory [J] . Ramesh V. Pai, K. Sheshadri, Rahul Pandit Physical review. B, Condensed Matter And Materials Physics . 2008,第1期

机译：Spin-1 Bose-Hubbard模型中的相变：均场理论的系统论
4. Mean-Field Theory for Extended Bose-Hubbard Model with Hard-Core Bosons [C] . Nicolas Gheeraert, Shai Chester, Mathias May, International Symposium Self-Organization in Complex Systems . 2016

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5. Applications of effective field theory/density functional theory to ground-state properties of nuclei far from stability. [D] . Huertas Chacon, Marco Antonio. 2003

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6. Real space mean-field theory of a spin-1 Bose gas in synthetic dimensions [O] . Hilary M. Hurst, Justin H. Wilson, J. H. Pixley, -1

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7. Ground-state properties of the disordered spin-1 Bose-Hubbard model: A stochastic mean-field theory study [O] . Warnes, JH, Miranda, E 2015

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8. Studies to the Stochastic Theory of Coupled Reactorkinetic-Thermohydraulic Systems Pt. 2. Multivariable Stochastic Models [R] . Mesko, L. 1983

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Ground-state properties of the disordered spin-1 Bose-Hubbard model: A stochastic mean-field theory study

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