Two supersolid phases in hard-core extended Bose–Hubbard model

Chen, Yung‐Chung; Yang, Min-Fong

doi:10.1088/2399-6528/aa8bfb

Cited by 16 publications

(28 citation statements)

References 57 publications

(122 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Both specific models have been investigated in numerous studies and predict ordered phases as equilibrium ground states for a suitable choice of the models parameters [44][45][46][47]. We first investigate the equilibrium phase diagram by performing numerical simulations with the variational cluster Gutzwiller approach (CGA) [48][49][50][51][52][53]. Within this method the system is described by a lattice of clusters with each cluster embedded in a self-consistent mean field, hereby factorizing the wave function of the full system into cluster wave functions as…”

Section: B Hamiltonian and Methodsmentioning

confidence: 99%

Extended Bose-Hubbard models with ultracold magnetic atoms

Baier

Mark

Petter

et al. 2016

Science

356

358

View full text Add to dashboard Cite

The Hubbard model underlies our understanding of strongly correlated materials. While its standard form only comprises interaction between particles at the same lattice site, its extension to encompass long-range interaction, which activates terms acting between different sites, is predicted to profoundly alter the quantum behavior of the system. We realize the extended Bose-Hubbard model for an ultracold gas of strongly magnetic erbium atoms in a three-dimensional optical lattice. Controlling the orientation of the atomic dipoles, we reveal the anisotropic character of the onsite interaction and hopping dynamics, and their influence on the superfluidto-Mott insulator quantum phase transition. Moreover, we observe nearest-neighbor interaction, which is a genuine consequence of the long-range nature of dipolar interactions. Our results lay the groundwork for future studies of novel exotic many-body quantum phases. PACS numbers: 67.85.Hj, 37.10.De, 51.60.+a, 05.30.Rt Dipolar interactions, reflecting the forces between a pair of magnetic or electric dipoles, account for many physically and biologically significant phenomena. These range from novel phases appearing at low temperatures in quantum many-body systems [1,2], liquid crystals and ferrofluids in soft condensed matter physics [3,4], to the mechanism underlying protein folding [5]. The distinguishing feature of dipole-dipole interactions (DDI) is their long-range and anisotropic character [6]: a pair of dipoles oriented in parallel will repel each other, while the interaction between two head to tail dipoles will be attractive. While remarkable progress has been made with gases of polar molecules [7] and Rydberg ensembles [8] comprising electric dipoles, it is the recent experimental advances in creating quantum degenerate gases of bosonic and fermionic magnetic atoms, including Cr [9-11] and the Lanthanides Er [12] and Dy [13], which have now opened the door to a study of magnetic dipolar interactions, and their unique role in Hubbard dynamics of a quantum lattice gas.Ultracold Lanthanide atoms with their open electronic fshells, and their anisotropic interactions are characterized by unconventional low energy scattering properties, including the proliferation of Feshbach resonances [14]. This complexity of Lanthanides manifests itself in quantum many-body dynamics: by preparing quantum degenerate Lanthanide gases in optical lattices we realize extended Hubbard models for bosonic and fermionic atoms. Here, in addition to the familiar single particle tunneling and isotropic onsite interactions (as for contact interactions in Alkali) dipolar interactions give rise to anisotropic onsite and nearest-neighbor (offsite) interactions (NNI), and density-assisted tunneling (DAT) [15]. Such extended Hubbard models have been studied extensively in theoretical condensed matter physics and quantum material science [16,17], and it is the competition between these unconventional Hubbard interactions, which underlies the prediction of exotic quantum phases such as super...

show abstract

Section: B Hamiltonian and Methodsmentioning

confidence: 99%

Extended Bose-Hubbard models with ultracold magnetic atoms

Baier

Mark

Petter

et al. 2016

Science

356

358

View full text Add to dashboard Cite

show abstract

“…Earlier than our work, recent two papers [46,47] have studied the EBH model and found HSS with negative t , which causes the frustration of Hamiltonian. This motivates us to wonder if there are other exotic SS or even SF phases once our model is frustrated in a different way, such as positive t with negative t, and if we are able to understand or even predict the existence of distinct SF/SS phases.…”

Section: A Hamiltonian and Order Parametersmentioning

confidence: 60%

“…Besides the structural order of particle density, to see if a phase is SF/SS, one needs to examine its condensate density ρ 0 . We have learned that some SS states carry unconventional patterns of SF density ( b i ) with a sign change on different sites [46,47]. To avoid ambiguity, we simply define our order parameter as the following:…”

Section: A Hamiltonian and Order Parametersmentioning

confidence: 99%

“…Therefore, we apply the simpleupdate iPEPS in capturing exotic phases out of hard-core EBH model. Besides iPEPS, mean-field theory has been shown effective for EBH model [47], and thus for comparison, we also check the mean-field results based on the approach proposed by Matsubara and Matsuda [56]. Exact diagonalization (ED) with extrapolation, based on the finite-size scaling to infer the infinite system, is also considered as a way of providing further evidences of the phases we have found.…”

Section: Introductionmentioning

confidence: 98%

“…SS state can even be seen in the three-dimensional cubic lattice [45]. However, recent works concerning the same model have shown that with the frustration induced by a negative next-nearest-neighbor hopping t , a peculiar SS phase, named after half supersolid (HSS), can be generated [46,47]. Such effect of negative t can hardly be discussed with QMC method due to the sign problem and therefore, one might need other numerical approaches for dealing with it.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Frustration-Induced Supersolid Phases of Extended Bose-Hubbard Model in the Hard-Core Limit

Tu,

Wu,

Suzuki

2019

Preprint

View full text Add to dashboard Cite

The effect of frustration introduced by the competition of hopping terms within the extended Bose-Hubbard Hamiltonian is discussed by numerical means, in search of exotic supersolid phases. We will demonstrate that for various combinations of hopping and interacting amplitudes, many different supersolid phases can be generated and the results agree well within three numerical approaches, infinite projected entangled-pair state, exact diagonalization, and mean-field theory, that we have applied. A further discussion, starting from the mean-field point of view, helps to give a clearer picture of the background mechanism for underlying superfluid/supersolid states to be formed. With this knowledge, we predict and realize the d-wave superfluid and its extended phases, which are important in understanding high-Tc materials. Given the highly-developed techniques for ultracold atoms recently, we believe our results can serve for preliminary understanding for desired target phases in the real-world experimental systems.

show abstract

Quantum phases in the extended Bose–Hubbard ladder

Wang

Song

et al. 2023

Physica A: Statistical Mechanics and its Applications

View full text Add to dashboard Cite

Two supersolid phases in hard-core extended Bose–Hubbard model

Cited by 16 publications

References 57 publications

Extended Bose-Hubbard models with ultracold magnetic atoms

Extended Bose-Hubbard models with ultracold magnetic atoms

Frustration-Induced Supersolid Phases of Extended Bose-Hubbard Model in the Hard-Core Limit

Quantum phases in the extended Bose–Hubbard ladder

Contact Info

Product

Resources

About