Bose–Hubbard phase transition with two- and three-body interaction in a magnetic field

Huang, Beibing; Wan, Shaolong

doi:10.1016/j.physleta.2010.08.057

Cited by 3 publications

(2 citation statements)

References 26 publications

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“…which is in agreement with the results in [17][18][19][20]. Figure 1, the phase diagram in the t/U − µ/U plane for different W/U from ( 14), shows that the effects of threebody interaction on the phase boundary are very dramatic.…”

Section: Superfluid-mi Phase Transitionsupporting

confidence: 90%

“…As a matter of fact, some references [17,18,19,20] have studied superfluid-MI phase transition in the presence of two-and three-body on-site interactions at the mean field level and found some interesting phenomena such as the rotation of phase boundary around a fixed point and extension of MI. Especially the reference [19] also studied the excitation spectrum in MI by functional-integral method.…”

Section: Introductionmentioning

confidence: 99%

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Excitation Spectrum and Momentum Distribution of Bose—Hubbard Model with On-site Two- and Three-Body Interaction

Huang¹,

Wan²

2013

Commun. Theor. Phys.

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An effective action for Bose-Hubbard model with two-and three-body on-site interaction in a square optical lattice is derived in the frame of a strong-coupling approach developed by Sengupta and Dupuis. From this effective action, superfluid-Mott insulator (MI) phase transition, excitation spectrum and momentum distribution for two phases are calculated by taking into account Gaussian fluctuation about the saddle-point approximation. In addition the effects of three-body interaction are also discussed.

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Section: Superfluid-mi Phase Transitionsupporting

confidence: 90%

Section: Introductionmentioning

confidence: 99%

Excitation Spectrum and Momentum Distribution of Bose—Hubbard Model with On-site Two- and Three-Body Interaction

Huang¹,

Wan²

2013

Commun. Theor. Phys.

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Non-standard Hubbard models in optical lattices: a review

et al. 2015

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Originally, the Hubbard model was derived for describing the behavior of strongly correlated electrons in solids. However, for over a decade now, variations of it have also routinely been implemented with ultracold atoms in optical lattices, allowing their study in a clean, essentially defect-free environment. Here, we review some of the vast literature on this subject, with a focus on more recent non-standard forms of the Hubbard model. After giving an introduction to standard (fermionic and bosonic) Hubbard models, we discuss briefly common models for mixtures, as well as the so-called extended Bose-Hubbard models, that include interactions between neighboring sites, next-neighbor sites, and so on. The main part of the review discusses the importance of additional terms appearing when refining the tight-binding approximation for the original physical Hamiltonian. Even when restricting the models to the lowest Bloch band is justified, the standard approach neglects the density-induced tunneling (which has the same origin as the usual on-site interaction). The importance of these contributions is discussed for both contact and dipolar interactions. For sufficiently strong interactions, the effects related to higher Bloch bands also become important even for deep optical lattices. Different approaches that aim at incorporating these effects, mainly via dressing the basis, Wannier functions with interactions, leading to effective, density-dependent Hubbard-type models, are reviewed. We discuss also examples of Hubbard-like models that explicitly involve higher p orbitals, as well as models that dynamically couple spin and orbital degrees of freedom. Finally, we review mean-field nonlinear Schrödinger models of the Salerno type that share with the non-standard Hubbard models nonlinear coupling between the adjacent sites. In that part, discrete solitons are the main subject of consideration. We conclude by listing some open problems, to be addressed in the future.

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Macroscopic quantum tunneling of Bose-Einstein condensate with ϕ⁶ interaction

Huang

2018

J. Phys.: Conf. Ser.

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Bose–Hubbard phase transition with two- and three-body interaction in a magnetic field

Cited by 3 publications

References 26 publications

Excitation Spectrum and Momentum Distribution of Bose—Hubbard Model with On-site Two- and Three-Body Interaction

Excitation Spectrum and Momentum Distribution of Bose—Hubbard Model with On-site Two- and Three-Body Interaction

Non-standard Hubbard models in optical lattices: a review

Macroscopic quantum tunneling of Bose-Einstein condensate with ϕ⁶ interaction

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Bose–Hubbard phase transition with two- and three-body interaction in a magnetic field

Cited by 3 publications

References 26 publications

Excitation Spectrum and Momentum Distribution of Bose—Hubbard Model with On-site Two- and Three-Body Interaction

Excitation Spectrum and Momentum Distribution of Bose—Hubbard Model with On-site Two- and Three-Body Interaction

Non-standard Hubbard models in optical lattices: a review

Macroscopic quantum tunneling of Bose-Einstein condensate with ϕ6 interaction

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Product

Resources

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Macroscopic quantum tunneling of Bose-Einstein condensate with ϕ⁶ interaction