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 consider the finite-temperature properties of the extended Bose-Hubbard model realized recently in an ETH experiment [Nature 532, 476 (2016)]. Competing short- and global-range interactions accommodate fascinating collective phenomena. We formulate a self-consistent mean-field theory to describe ...
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 ...
extended Bose-Hubbard modeleffective ground statepair tunnelingThe extended Bose-Hubbard model for a double-well potential with pair tunneling is studied through both exact diagonalization and mean field theory (MFT). When pair tunneling is strong enough, the ground state wavefunction predicted by the...
Bose-HubbardModel StanimirKondov May5,2008 Abstract TheBose-Hubbardhamiltonianwillbeintroducedandjustifiedasaneffectivedescriptionofsome relevantphysicalsystems(dilutealkaligasesinopticallattices,arraysofJosephsonjunctions).Iwill alsoshowameanfieldtheorysolutionandtheresultingphasediagram.Finally,Iwilldescribeindet...
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, ...
We study the ground state of the attractive one-dimensional Bose-Hubbard model, and in particular the nature of the crossover between the weak interaction and strong interaction regimes for finite system sizes. Indicator properties like the gap between the ground and first excited energy levels, ...
V. Ramakrishnan, Superfluid and insulating phases in an interacting boson model: Mean-field theory and the RPA, Europhys. Lett. 22:257(1993). Google Scholar J. K. Freericks and H. Monien, Phase diagram of the Bose Hubbard model, Europhys. Lett. 26:545(1994). Google Scholar N. ...
This paper is organized as follows: in section 2 we review the bottom-up holographic Bose-Hubbard model of [4], and in particular the lobe-shaped phase structure well-known from the mean-field treatment of the Bose-Hubbard model [2]. We also derive the 1/ρ be- havior of the values ...
BoseHubbardModel M.P.A.Fisheretal., PRB40,546(1989) MeanFieldPhaseDiagram QuantumMonteCarlo BatrouniandScaletter,PRB46,9051(1992) QuantumPhaseTransition TwoComponentBosonsinOL TwocomponentBoseHubbardmodel TwositeHamiltonian (Kuklov&SvistunovPRL2003) ...