Entanglement of Hard‐Core Bosons on the Honeycomb Lattice

@article{Zhang2019EntanglementOH,
  title={Entanglement of Hard‐Core Bosons on the Honeycomb Lattice},
  author={Xue-Feng Zhang and Raoul Dillenschneider and Sebastian Eggert},
  journal={physica status solidi (b)},
  year={2019}
}
The entanglement of hard-core bosons in square and honeycomb lattices with nearest-neighbor interactions is estimated by means of quantum Monte Carlo simulations and spin-wave analysis. The particular U(1)-invariant form of the concurrence is used to establish a connection with observables such as density and superfluid density. For specific regimes the concurrence is expressed as a combination of boson density and superfluid density. 

Figures from this paper

References

SHOWING 1-10 OF 97 REFERENCES
Supersolid order from disorder: hard-core bosons on the triangular lattice.
TLDR
It is demonstrated that superfluidity survives for arbitrarily large repulsion, and that diagonal solid order emerges in the strongly correlated regime from an order-by-disorder mechanism.
Ground-state entanglement in the XXZ model
In this paper, we investigate spin entanglement in the XXZ model defined on a d-dimensional bipartite lattice. The concurrence, a measure of the entanglement between two spins, is analyzed. We prove
Supersolid phase transitions for hard-core bosons on a triangular lattice
Hard-core bosons on a triangular lattice with nearest-neighbor repulsion are a prototypical example of a system with supersolid behavior on a lattice. We show that in this model the physical origin
Supersolid hard-core bosons on the triangular lattice.
TLDR
The emergence of the supersolid on the triangular lattice reflects a novel and interesting way for a quantum system to avoid classical frustration, similar to an order-by-disorder mechanism and offers an exciting possibility of realizing such phenomena in ultracold atoms on optical lattices.
Concurrence in the two-dimensional XXZ- and transverse field Ising-models
Abstract Numerical results for the concurrence and bounds on the localizable entanglement are obtained for the square lattice spin-1/2 XXZ-model and the transverse field Ising-model at low
Entanglement and spontaneous symmetry breaking in quantum spin models
It is shown that spontaneous symmetry breaking does not modify the ground-state entanglement of two spins, as defined by the concurrence, in the XXZ chain and the transverse field Ising chain.
Quantum discord and quantum phase transition in spin chains
Quantum phase transitions of the transverse Ising and antiferromagnetic $XXZ$ spin $S=1/2$ chains are studied using quantum discord. Quantum discord allows the measure of quantum correlations present
Entangled Rings
Consider a ring of N qubits in a translationally invariant quantum state. We ask to what extent each pair of nearest neighbors can be entangled. Under plausible assumptions about the form of the
Continuous Easy-Plane Deconfined Phase Transition on the Kagome Lattice.
TLDR
Evidence that the phase transition is continuous at exactly 1/3 filling is provided, and a careful finite size scaling analysis reveals an unconventional scaling behavior hinting at deconfined quantum criticality.
Quantum Domain Walls Induce Incommensurate Supersolid Phase on the Anisotropic Triangular Lattice.
TLDR
The extended hard-core Bose-Hubbard model on the triangular lattice is investigated as a function of spatial anisotropy with respect to both hopping and nearest-neighbor interaction strength, and the structure factor has peaks at wave vectors, which are linearly related to the number of domain walls in a finite system in agreement with extensive quantum Monte Carlo simulations.
...
1
2
3
4
5
...