We develop an inhomogeneous mean-field theory for the extended Bose-Hubbard model with a quadratic, confining potential. In the absence of this potential, our mean-field theory yields the phase diagram of the homogeneous extended Bose-Hubbard model. This phase diagram shows a superfluid (SF) ...
We study the quantum phases of a Bose-Hubbard model with staggered magnetic flux in two dimensions, as was realized recently [M. Aidelsburger, M. Atala, M. Lohse, J. T. Barreiro, B. Paredes, and I. Bloch, Phys. Rev. Lett. 107, 255301 (2011), 10.1103/PhysRevLett.107.255301]. With...
关键词:Bose-Hubbard模型;动力学平均场理论;Mott绝缘体;Bose-Einstein 凝聚相 1 2 /U Abstract Inthisdissertation,wefirstpresentanintroductionofthestudy ontheBose-Hubbardmodel,includingthebackgroundandtheoretical methods.Thenwebrieflyintroducethedynamicalmeanfieldtheoryand itsdevelopment.Thedynamicalmeanfieldtheory(...
1. The Bose-Hubbard model is a basic model which contains main features in the strongly interacting Bose systems. 本文研究的是不存在无规势时的一维Bose-Hubbard模型,本模型中仅考虑了玻色子最邻近格点间跳迁,而同一格点上玻色子相互排斥作用强度不依赖于格点,且为一维环状晶格或格点周期为p的情形。
The dynamical evolution of a Bose-Einstein condensate trapped in a one-dimensional lattice potential is investigated theoretically in the framework of the Bose-Hubbard model. The emphasis is set on the far-from-equilibrium evolution in a case where the gas is strongly interacting. This is realized...
Mott Hubbard transition of cold atoms in optical lattices. J. Opt. B: Quantum Semiclass. Opt. 5, S9–S16 (2003). Article ADS CAS Google Scholar Krauth, W., Caffarel, M. & Bouchaud, J. P. Gutzwiller wave function for a model of strongly interacting bosons. Phys. Rev. B 45, ...
hubbardbosehamiltonianmodelphasetunneling Bose-HubbardModel StanimirKondov May5,2008 Abstract TheBose-Hubbardhamiltonianwillbeintroducedandjustifiedasaneffectivedescriptionofsome relevantphysicalsystems(dilutealkaligasesinopticallattices,arraysofJosephsonjunctions).Iwill alsoshowameanfieldtheorysolutionandtheresultin...
Motivated by the experimental realization of synthetic spin-orbit coupling for ultracold atoms, we investigate the phase diagram of the Bose-Hubbard model in a non-Abelian gauge field in two dimensions. Using a strong coupling expansion in the combined presence of spin-orbit coupling and tunable in...
Energetic balance of the superconducting transition across the BCS—Bose Einstein crossover in the attractive Hubbard model We investigate by means of Dynamical mean-field theory the crossover from BCS superconductivity to Bose-Einstein (BE) condensation of preformed pairs which... A Toschi,M Capone...
andPart III: An analogue model of an acoustic Black Hole in Bose-Einstein condensates.In part I we present a phase-space method for the Bose-Hubbard model based on the Qfunctionrepresentation. In particular, we consider two model Hamiltonians in the mean-fieldapproximation; the first is the ...