Competing quantum phases of hard-core bosons with tilted dipole-dipole interaction

Wu, Huan-Kuang; Tu, Wei-Lin

doi:10.1103/physreva.102.053306

Cited by 24 publications

(12 citation statements)

References 65 publications

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“…Meanwhile, the same physical polarisation angle θ causes the polarisation to be along the φ lattice vector at φ c = π 2 , 3π 2 , which supports a stripe density wave state [47,48] and a supersolid with the same density order for soft-core bosons [63][64][65]. At intermediate θ and φ c , the polarisation can point diagonally between ẑ and φ with a perpendicular component in R providing isotropic repulsion, which has recently been shown to support diagonal stripe and superstripe phases with a 3 × 3 unit cell driven by next-nearest-neighbour interactions [66]. For large L c , the spatially-dependent interactions would enable study of the coexistence and self-organised interfaces between the local states which are supported by given physical values of θ.…”

Section: A Additional Parametersmentioning

confidence: 60%

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

Hughes,

Jaksch

2021

Preprint

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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 hardcore 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 polarisations 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 as a function of interaction strength to be staggered according to the azimuthal sublattices.

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Section: A Additional Parametersmentioning

confidence: 60%

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

Hughes,

Jaksch

2021

Preprint

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“…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%

“…a star solid at n = 1/4, 3/4 (see e.g. [28]), for larger dipolar interaction strength (not explored here).…”

Section: Ground-state Phase Diagramsmentioning

confidence: 99%

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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“…1. At zero temperature, the physics of the system is well described by the lowest band BHM with the dipolar interaction and the Hamiltonian of the system is [19,24,[59][60][61]…”

Section: Theoretical Modelmentioning

confidence: 99%

Quantum quench dynamics of tilted dipolar bosons in 2D optical lattices

Sable¹,

Gaur²,

Bandyopadhyay³

et al. 2021

Preprint

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We investigate the quench dynamics of the dipolar bosons in two dimensional optical lattice of square geometry using the time dependent Gutzwiller method. The system exhibits different density orders like the checkerboard and the striped pattern, depending upon the polarization angle of the dipoles. We quench the hopping parameter across the striped density wave (SDW) to striped supersolid (SSS) phase transition, and obtain the scaling laws for the correlation length and topological vortex density, as function of the quench rate. The results are reminiscent of the Kibble-Zurek mechanism (KZM). We also investigate the dynamics from the striped supersolid phase to the checkerboard supersolid phase, obtained by quenching the dipole tilt angle θ. This is a first order structural quantum phase transition, and we study the non-equilibrium dynamics from the perspective of the KZM. In particular, we find the number of the domains with checkerboard order follows a power law scaling with the quench rate. This indicates the applicability of the KZM to this first order quantum phase transition.

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Competing quantum phases of hard-core bosons with tilted dipole-dipole interaction

Cited by 24 publications

References 65 publications

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

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

Supersolid phases of lattice dipoles tilted in three-dimensions

Quantum quench dynamics of tilted dipolar bosons in 2D optical lattices

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