Quantum phases of the Bose-Hubbard model in optical superlattices

Chen, Bo-Lun; Kou, Su-Peng; Zhang, Yunbo; Chen, Shu

doi:10.1103/physreva.81.053608

Cited by 36 publications

(47 citation statements)

References 43 publications

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“…The Gutzwiller meanfield approach has been used in several papers to study the Bose-Hubbard model in quantum lattices [2,10,11]. In this paper, we have applied the decoupling approximation to a d-dimensional periodic optical superlattice with a periodicity of two sites [12].…”

Section: Introductionmentioning

confidence: 99%

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Mean-field analysis of quantum phase transitions in a periodic optical superlattice

et al. 2011

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Section: Introductionmentioning

confidence: 99%

“…A number of papers on the ultracold atoms in different types of optical superlattices have been published in the past few years [12][13][14][15][16][17]. Experiments on this subject have been proposed and carried out in different laboratories [18][19][20].…”

Section: Introductionmentioning

confidence: 99%

Mean-field analysis of quantum phase transitions in a periodic optical superlattice

et al. 2011

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“…See Appendix A for detailed calculations. By means of Landau theory, based on the geometry knowledge, when the Gaussian curvature of the energy-order parameters surface is zero at the point ψ A = ψ B = 0, the phase transition occurs [32]. Therefore, we can obtain a function of phase-transition line readily by…”

Section: B Superfluid-mott Insulator Transitionmentioning

confidence: 99%

Bogoliubov excitations in the Bose-Hubbard extension of a Weyl semimetal

Zhou

Kou

2017

Phys. Rev. A

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In this paper, a Bose-Hubbard extension of a Weyl semimetal is proposed that can be realized for ultracold atoms using laser assisted tunneling and Feshbach resonance technique in three dimensional optical lattices. The global phase diagram is obtained consisting of a superfluid phase and various Mott insulator phases by using Landau theory. The Bogoliubov excitation modes for the weakly interacting case have nontrivial properties (Weyl nodes, bosonic surface arc, etc.) analogs of those in Weyl semimetals of electronic systems, which are smoothly carried over to that of Bloch bands for the noninteracting case. The properties of the insulating phases for the strongly interacting case are explored by calculating both the quasiparticle and quasihole dispersion relation, which shows two quasiparticle spectra touch at Weyl nodes. PACS number(s): 37.10. JK, 03.75.Fi, 32.80.Pj

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“…Earlier works on ultracold bosons in optical superlattice have shown the existence of phases with density wave-like configurations [12][13][14][15][16][17]. Later studies of softcore bosons in optical superlattices [18,19] termed these phases as superlattice induced Mott insulator(SLMI) phases.…”

Section: Introductionmentioning

confidence: 99%

Hard-core bosons in a zig-zag optical superlattice

et al. 2013

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We study a system of hard-core bosons at half-filling in a one-dimensional optical superlattice. The bosons are allowed to hop to nearest and next-nearest neighbor sites. We obtain the ground state phase diagram as a function of microscopic parameters using the finite-size density matrix renormalization group (FS-DMRG) method. Depending on the sign of the next-nearest neighbor hopping and the strength of the superlattice potential the system exhibits three different phases, namely the bond-order (BO) solid, the superlattice induced Mott insulator (SLMI) and the superfluid (SF) phase. When the signs of both hopping amplitudes are the same (the "unfrustrated" case), the system undergoes a transition from the SF to the SLMI at a non-zero value of the superlattice potential. On the other hand, when the two amplitudes differ in sign (the "frustrated" case), the SF is unstable to switching on a superlattice potential and also exists only up to a finite value of the next nearest neighbor hopping. This part of the phase diagram is dominated by the BO phase which breaks translation symmetry spontaneously even in the absence of the superlattice potential and can thus be characterized by a bond order parameter. The transition from BO to SLMI appears to be first order.

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Quantum phases of the Bose-Hubbard model in optical superlattices

Cited by 36 publications

References 43 publications

Mean-field analysis of quantum phase transitions in a periodic optical superlattice

Mean-field analysis of quantum phase transitions in a periodic optical superlattice

Bogoliubov excitations in the Bose-Hubbard extension of a Weyl semimetal

Hard-core bosons in a zig-zag optical superlattice

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