Composite Boson Mapping for Lattice Boson Systems

Huerga, Daniel; Dukelsky, J.; Scuseria, Gustavo E.

doi:10.1103/physrevlett.111.045701

Cited by 25 publications

(39 citation statements)

References 18 publications

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“…In particular, the energy obtained is variational, and the groundstate phase diagram can be obtained by monitoring the ground-state energy and its derivatives. In addition, low-lying excitations over the ground state can be analyzed within the CBMFT framework self-consistently [53]. Nevertheless, this analysis is out of the scope of the present work.…”

Section: Two-dimensional Square Latticesmentioning

confidence: 99%

“…Each quantum state of each cluster can be represented by the action of a creation composite boson (CB) over a CB vacuum. Since the mapping relating the original bosons {b † r ,b r } to the new CBs is canonical [53], one can rewrite (1) in terms of CBs and approach it by standard many-body techniques, with the advantage that short-range quantum correlations are exactly computed by construction.…”

Section: Two-dimensional Square Latticesmentioning

confidence: 99%

“…In the following, we will use the composite boson mean-field theory (CBMFT) [53,54], which is a useful tool to unveil strongly correlated phases of spin and boson lattice models, where other methods face significant problems.…”

Section: Two-dimensional Square Latticesmentioning

confidence: 99%

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Density-dependent synthetic magnetism for ultracold atoms in optical lattices

et al. 2015

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Raman-assisted hopping can allow for the creation of density-dependent synthetic magnetism for cold neutral gases in optical lattices. We show that the density-dependent fields lead to a nontrivial interplay between density modulations and chirality. This interplay results in a rich physics for atoms in two-leg ladders, characterized by a density-driven Meissner-superfluid to vortex-superfluid transition, and a nontrivial dependence of the density imbalance between the legs. Density-dependent fields also lead to intriguing physics in square lattices. In particular, it leads to a density-driven transition between a nonchiral and a chiral superfluid, both characterized by nontrivial charge density-wave amplitude. We finally show how the physics due to the density-dependent fields may be easily probed in experiments by monitoring the expansion of doublons and holes in a Mott insulator, which presents a remarkable dependence on quantum fluctuations.

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Section: Two-dimensional Square Latticesmentioning

confidence: 99%

Section: Two-dimensional Square Latticesmentioning

confidence: 99%

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Density-dependent synthetic magnetism for ultracold atoms in optical lattices

et al. 2015

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“…Within this approach, the spins in the lattice are grouped into small clusters which are exactly diagonalized, while each cluster is mean-field coupled to the other ones (see Fig. 1(a)) [18][19][20][21]. This ansatz clearly constitutes a step forward as compared to the Gutzwiller mean-field approach since it exactly treats quantum correlations between all sites belonging to the same cluster.…”

Section: Introductionmentioning

confidence: 99%

Case study of the uniaxial anisotropic spin-1 bilinear-biquadratic Heisenberg model on a triangular lattice

Moreno-Cardoner

Perrin²,

Paganelli³

et al. 2014

Phys. Rev. B

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We study the spin-1 model in a triangular lattice in presence of a uniaxial anisotropy field using a Cluster Mean-Field approach (CMF). The interplay between antiferromagnetic exchange, lattice geometry and anisotropy forces Gutzwiller mean-field approaches to fail in a certain region of the phase diagram. There, the CMF yields two supersolid (SS) phases compatible with those present in the spin-1/2 XXZ model onto which the spin-1 system maps. Between these two SS phases, the three-sublattice order is broken and the results of the CMF depend heavily on the geometry and size of the cluster. We discuss the possible presence of a spin liquid in this region.

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“…In a realistic experimental system, the number of particles in each lattice site may break this con-straint. In addition, the ground-state phase diagrams of BH systems have been obtained by the analytical meanfield approach [38], the cell strong-coupling perturbation technique [39] and the composite boson mean-field theory [40,41] etc.…”

Section: Introductionmentioning

confidence: 99%

Cluster Gutzwiller study of the Bose-Hubbard ladder: Ground-state phase diagram and many-body Landau-Zener dynamics

et al. 2015

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We present a cluster Gutzwiller mean-field study for ground states and time-evolution dynamics in the Bose-Hubbard ladder (BHL), which can be realized by loading Bose atoms in double-well optical lattices. In our cluster mean-field approach, we treat each double-well unit of two lattice sites as a coherent whole for composing the cluster Gutzwiller ansatz, which may remain some residual correlations in each two-site unit. For a unbiased BHL, in addition to conventional superfluid phase and integer Mott insulator phases, we find that there are exotic fractional insulator phases if the inter-chain tunneling is much stronger than the intra-chain one. The fractional insulator phases can not be found by using a conventional mean-field treatment based upon the single-site Gutzwiller ansatz. For a biased BHL, we find there appear single-atom tunneling and interaction blockade if the system is dominated by the interplay between the on-site interaction and the inter-chain bias. In the many-body Landau-Zener process, in which the inter-chain bias is linearly swept from negative to positive or vice versa, our numerical results are qualitatively consistent with the experimental observation [Nat. Phys. 7, 61 (2011)]. Our cluster bosonic Gutzwiller treatment is of promising perspectives in exploring exotic quantum phases and time-evolution dynamics of bosonic particles in superlattices.

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Composite Boson Mapping for Lattice Boson Systems

Cited by 25 publications

References 18 publications

Density-dependent synthetic magnetism for ultracold atoms in optical lattices

Density-dependent synthetic magnetism for ultracold atoms in optical lattices

Case study of the uniaxial anisotropic spin-1 bilinear-biquadratic Heisenberg model on a triangular lattice

Cluster Gutzwiller study of the Bose-Hubbard ladder: Ground-state phase diagram and many-body Landau-Zener dynamics

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