Pair superfluid and supersolid of correlated hard-core bosons on a triangular lattice

Jiang, Hanchen; Fu, Liang; Xu, Cenke

doi:10.1103/physrevb.86.045129

Cited by 20 publications

(13 citation statements)

References 29 publications

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“…The other difference is that C p > 0 in the PSS phase. We remark that both PSS and PSF phases have been previously observed in numerical calculations for EBH Hamiltonians with density-dependent tunneling 32,57,58 .…”

Section: The Phase Diagram For D = 01supporting

confidence: 67%

Extended Bose-Hubbard model with dipolar and contact interactions

2018

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We study the phase diagram of the one-dimensional boson gas trapped inside an optical lattice with contact and dipolar interaction taking into account next-nearest terms for both tunneling and interaction. Using the density matrix renormalization group, we calculate how the locations of phase transitions change with increasing dipolar interaction strength for average density ρ = 1. Furthermore, we show an emergence of pair-correlated phases for a large dipolar interaction strength and ρ ≥ 2, including a supersolid phase with an incommensurate density wave ordering manifesting the corresponding spontaneous breaking of the translational symmetry. arXiv:1802.08104v2 [cond-mat.quant-gas]

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Section: The Phase Diagram For D = 01supporting

confidence: 67%

Extended Bose-Hubbard model with dipolar and contact interactions

2018

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“…The superfluid phase is signalled by the non-vanishing value of single particle correlations â † i âj across the lattice. In particular, we analyse the Fourier transform of the off-diagonal single particle correlations, which is defined as [51]:…”

Section: A Observablesmentioning

confidence: 99%

“…PSF is signalled by a non-vanishing expectation value of the pair-correlation function. In this work we analyse the Fourier transform of the pair correlations â † i â † i âj âj , which we define as [51]:…”

Section: Phasementioning

confidence: 99%

Superfluid phases induced by the dipolar interactions

Kraus,

Biedroń,

Zakrzewski

et al. 2020

Preprint

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We determine the quantum ground state of dipolar bosons in a quasi one-dimensional optical lattice and interacting via s-wave scattering. The Hamiltonian is an extended Bose-Hubbard model which includes hopping terms due to the interactions. We identify the parameter regime for which the coefficients of the interaction-induced hopping terms become negative. For these parameters we numerically determine the phase diagram for a canonical ensemble and by means of DMRG. We show that at sufficiently large values of the dipolar strength there is a quantum interference between the tunnelling due to single-particle effects and the one due to the interactions. Because of this phenomenon, incompressible phases appear at relatively large values of the single-particle tunnelling rates. This quantum interference cuts the phase diagram into two different, disconnected superfluid phases. In particular, at vanishing kinetic energy the phase is always superfluid with a staggered superfluid order parameter. These dynamics emerge from quantum interference phenomena between quantum fluctuations and interactions and shed light into their role in determining the thermodynamic properties of quantum matter.

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“…Besides, the Hubbard model with this term has an exact solution in a special point of the parameter space [22][23][24][25]. On the other hand, the extended boson Hubbard model with a density-dependent hopping is an effective Hamiltonian for bosonic molecules, typically polar species [26][27][28], in optical lattices [29][30][31][32][33][34][35][36]. Further, general correlated hop-ping hard-core bosonic Hamiltonians are investigated to understand the physics of frustrated insulating magnetic materials [29][30][31]37].…”

Section: Introductionmentioning

confidence: 99%

The role of density-dependent magnon hopping and magnon-magnon repulsion in ferrimagnetic spin-(1/2, $S$) chains in a magnetic field

da Silva,

Montenegro-Filho

2021

Preprint

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We compare the ground-state features of alternating ferrimagnetic chains (1/2, S) with S = 1, 3/2, 2, 5/2 in a magnetic field and the corresponding Holstein-Primakoff bosonic models up to order s/S, with s = 1/2, considering the fully polarized magnetization as the boson vacuum. The singleparticle Hamiltonian is a Rice-Mele model with uniform hopping and modified boundaries, while the interactions have a correlated (density-dependent) hopping term and magnon-magnon repulsion. The magnon-magnon repulsion increases the many-magnon energy and the density-dependent hopping decreases the kinetic energy. We use density matrix renormalization group calculations to investigate the effects of these two interaction terms in the bosonic model, and display the quantitative agreement between the results from the spin model and the full bosonic approximation. In particular, we verify the good accordance in the behavior of the edge states, associated with the ferrimagnetic plateau, from the spin and from the bosonic models. Furthermore, we show that the boundary magnon density strongly depends on the interactions and particle statistics..

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Pair superfluid and supersolid of correlated hard-core bosons on a triangular lattice

Cited by 20 publications

References 29 publications

Extended Bose-Hubbard model with dipolar and contact interactions

Extended Bose-Hubbard model with dipolar and contact interactions

Superfluid phases induced by the dipolar interactions

The role of density-dependent magnon hopping and magnon-magnon repulsion in ferrimagnetic spin-(1/2, $S$) chains in a magnetic field

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