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) ...
The 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 MFT is complex and doubly degenerate while the quantum ...
Bose-HubbardModel StanimirKondov May5,2008 Abstract TheBose-Hubbardhamiltonianwillbeintroducedandjustifiedasaneffectivedescriptionofsome relevantphysicalsystems(dilutealkaligasesinopticallattices,arraysofJosephsonjunctions).Iwill alsoshowameanfieldtheorysolutionandtheresultingphasediagram.Finally,Iwilldescribeindet...
Finally,wediscusstheresultsofBose-Fermimixturethroughmean fieldtheory,andtheopenproblemsfromourwork. Keywords:BoseHubbardmodel;dynamicalmeanfieldtheory;Mott insulator;Bose-Einsteincondensedphase 目录 第1章引言···1 第2章BOSE-HUBBARD模型的研究综述···4 2.1模型背景···...
At the SF-MI transitions in the spin-1 BH model, $u_s$ goes to zero continuously (discontinuously) for MI phases with an odd (even) number of bosons per site; this is consistent with the natures of these transition in mean-field theory. In the SF phases of these models, our ...
The pursuit of superconducting-based quantum computers has advanced the fabrication of and experimentation with custom lattices of qubits and resonators. Here, we describe a roadmap to use present experimental capabilities to simulate an interacting many
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 ...
dimer superfluid DSF atomic superfluid (ASF) The system is described by the attractive Bose-Hubbard Hamiltonian: with the constraint Mean field result for one dimensional chain: U<0 note that there is no hopping of dimers in H. Daley et al. (PRL 102, (2009)) ...
The vertical dashed line denotes the critical lattice depth of the Mott transition30 according to the mean-field theory for a homogeneous system. (c) The site-occupancy resolved spectrum in a deep lattice. The large attractive interaction of Uge,0 gives sidebands corresponding to the excitations...
The overall predictions of mean field theory are in excellent agreement with exact diagonalization and we provide details of superfluid fractions, density fluctuations, and finite size effects. We highlight connections to recent work on coupled cavity arrays. Full-Text Contact Us service@oalib.com ...