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 ...
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 ...
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···...
Bose-HubbardModel StanimirKondov May5,2008 Abstract TheBose-Hubbardhamiltonianwillbeintroducedandjustifiedasaneffectivedescriptionofsome relevantphysicalsystems(dilutealkaligasesinopticallattices,arraysofJosephsonjunctions).Iwill alsoshowameanfieldtheorysolutionandtheresultingphasediagram.Finally,Iwilldescribeindet...
For small system sizes we numerically investigate the model and observe that there are signatures of both crossovers. We compare with exact results from Bethe ansatz methods in several limiting cases to explore the validity for these numerical and mean-field schemes. The results indicate that for ...
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. ...
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)) ...