Ground states of two-dimensional tilted dipolar bosons with density-induced hopping

Zhang, Chao; Zhang, Jin; Yang, Jin Min; Capogrosso-Sansone, Barbara

doi:10.1103/physreva.103.043333

Cited by 10 publications

(13 citation statements)

References 58 publications

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“…(A6) from Ref. [27], it is easy to prove that U dd = 0 at sin 2 (θ) = 2/3, independent of other experimental parameters. For off-site interactions, the values are all close to the approximation…”

Section: Hamiltonianmentioning

confidence: 77%

“…Throughout this section, we fix U/t = 20 and flattening constant κ = 10, and study under which experimental parameters supersolids and other phases are stabilized for filling factors n < 1. The results presented are an extended investigation of what discussed in [27], where dipoles are tilted within the x-z plane, that is, the azimuthal angle is fixed at φ = 0. In this work, dipoles are parallel to each other and can freely orientate in 3D.…”

Section: Ground-state Phase Diagramsmentioning

confidence: 91%

“…Supersolid structures have also been theoretically predicted in dipolar gases trapped in optical lattices [19][20][21][22][23][24][25][26][27][28][29]. As optical lattices already impose a crystalline structure, solid order in these systems is realized when a discrete symmetry is also broken as particles arrange themselves in a crystalline structure different than the one of the underlining optical lattice, e.g.…”

Section: Introductionmentioning

confidence: 92%

“…Gaussian part of the wavefunction) [27], so the values of U c , V c , T c for all g and κ are easy to calculate. We set κ = 10 in all our calculations.…”

Section: Hamiltonianmentioning

confidence: 99%

“…(3) becomes exact for nearest-neighbor interactions in both directions at φ = π/4. The off-site interactions V dd i,j has little dependence on the value of κ for κ 6 [27], indicating that the system can be approximated as a 2D one. One can see that T dd i,i+x and T dd i,i+ŷ are close to zero and increase slowly with increasing θ for both values of φ and κ = 10.…”

Section: Hamiltonianmentioning

confidence: 99%

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Supersolid phases of lattice dipoles tilted in three-dimensions

Zhang,

Yang

et al. 2022

Preprint

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By means of quantum Monte Carlo simulations we study phase diagrams of dipolar bosons in a square optical lattice. The dipoles in the system can freely orientate in three dimensions. Starting from experimentally tunable parameters like scattering length and dipolar interaction strength, we derive the parameters entering the effective Hamiltonian. Depending on the direction of the dipoles, various types of supersolids (e.g. checkerboard, stripe) and solids (checkerboard, stripe, diagonal stripe, and an incompressible phase) can be stabilized. Remarkably, we find a cluster supersolid characterized by the formation of horizontal clusters of particles. These clusters order along a direction at an angle with the horizontal. Moreover, we find what we call a grain-boundary superfluid. In this phase, regions with solid order are separated by extended defects -grain boundaries-which support superfluidity. We also investigate the robustness of the stripe supersolid against thermal fluctuations. Finally, we comment on the experimental realization of the phases found.

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Section: Hamiltonianmentioning

confidence: 77%

Section: Ground-state Phase Diagramsmentioning

confidence: 91%

Section: Introductionmentioning

confidence: 92%

“…Gaussian part of the wavefunction) [27], so the values of U c , V c , T c for all g and κ are easy to calculate. We set κ = 10 in all our calculations.…”

Section: Hamiltonianmentioning

confidence: 99%

Section: Hamiltonianmentioning

confidence: 99%

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Supersolid phases of lattice dipoles tilted in three-dimensions

Zhang,

Yang

et al. 2022

Preprint

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Field-induced Bose-Einstein condensation and supersolid in the two-dimensional Kondo necklace

Moon

Lee

et al. 2022

Commun Phys

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The application of an external magnetic field of sufficient strength to a spin system composed of a localized singlet can overcome the energy gap and trigger bosonic condensation and so provide an alternative method to realize exotic phases of matter in real materials. Previous research has indicated that a spin Hamiltonian with on-site Kondo coupling may be the effective many-body Hamiltonian for Ba2NiO2(AgSe)2 (BNOAS) and here we study such a Hamiltonian using a tensor network ansatz in two dimensions. Our results unveil a phase diagram which indicates the underlying phases of BNOAS. We propose, in response to the possible doping-induced superconductivity of BNOAS, a fermionic model for further investigation. We hope that our discovery can bring up further interest in both theoretical and experimental researches for related nickelate compounds.

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Dipolar Bose-Hubbard model in finite-size real-space cylindrical lattices

Hughes

Jaksch

2022

Phys. Rev. A

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Recent experimental progress in magnetic atoms and polar molecules has created the prospect of simulating dipolar Hubbard models with off-site interactions. When applied to real-space cylindrical optical lattices, these anisotropic dipole-dipole interactions acquire a tunable spatially dependent component while they remain translationally invariant in the axial direction, creating a sublattice structure in the azimuthal direction. We numerically study how the coexistence of these classes of interactions affects the ground state of hard-core dipolar bosons at half filling in a finite-size cylindrical optical lattice with octagonal rings. When these two interaction classes cooperate, we find a solid state where the density order is determined by the azimuthal sublattice structure and builds smoothly as the interaction strength increases. For dipole polarizations where the axial interactions are sufficiently repulsive, the repulsion competes with the sublattice structure, significantly increasing entanglement and creating two distinct ordered density patterns. The spatially varying interactions cause the emergence of these ordered states in small lattices as a function of interaction strength to be staggered according to the azimuthal sublattices.

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Ground states of two-dimensional tilted dipolar bosons with density-induced hopping

Cited by 10 publications

References 58 publications

Supersolid phases of lattice dipoles tilted in three-dimensions

Supersolid phases of lattice dipoles tilted in three-dimensions

Field-induced Bose-Einstein condensation and supersolid in the two-dimensional Kondo necklace

Dipolar Bose-Hubbard model in finite-size real-space cylindrical lattices

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