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) ...
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...
We obtain the excitation spectra of the following three generalized Bose-Hubbard (BH) models: (1) a two-species generalization of the spinless BH model, (2) a single-species, spin-1 BH model, and (3) the extended Bose-Hubbard model (EBH) for spinless interacting bosons of one species...
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, ...
Here, we show how to realize the two-dimensional (2D) hard-core Bose–Hubbard model (HCB) illustrated in Fig. 1 using an array of transmon qubits21, the current workhorse qubit design in superconducting circuits. The HCB is a strongly interacting system that displays some of the critical pro...
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 ...
E. Niederle, Mean-field dynamics of a non-Hermitian Bose-Hubbard dimer, Phys. Rev. Lett. 101(15), 150408 (2008) Article ADS Google Scholar E. M. Graefe, U. Günther, H. J. Korsch, and A. E. Niederle, A non-HermitianPT symmetric Bose-Hubbard model: Eigenvalue rings from ...
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...