Variational Monte-Carlo study of the extended Bose-Hubbard model with short- and infinite-range interactions

Bogner, Benjamin; Daniloff, Clément De; Rieger, Heiko

doi:10.1140/epjb/e2019-100017-8

Cited by 13 publications

(10 citation statements)

References 68 publications

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“…When the on-site interaction U s /t > 20, there exists SF, MI, and BG phases, while when U s /t < 20, there exists DW, SF, BG, and DS phases. For the clean system, the SS phase exists when the on-site interaction strength U s /t < 5 [39]. At weak disorder strength, we find that the SS phase exists around 10 < U s /t < 18.…”

Section: B Nearest-neighbor Interactionmentioning

confidence: 69%

“…At disorder strength 9 < ∆/t < 20, the system has a finite superfluid stiffness ρ and a finite structure factor S(π, π), implying that the system is in the SS phase. In the absence of disorder, at U l /t = 10, the DW to SF phase transition happens around U s /t ∼ 15.5 [39]. Interestingly, by adding disorder to the system, the DW phase is transformed to the SS phase at weak disorder strength and the SS phase exists even around U s /t ∼ 22, implying that weak disorder enhances the SS order.…”

Section: Ground State Phase Diagramsmentioning

confidence: 99%

“…In contrast to dipolar interactions which decays as 1/r 3 , cavity-mediated long-range interactions are global, which means that the interaction strength between two bosons does not decay with the distance between them. The ground state phase diagram of the extended BHM with cavitymediated long-range interactions has been investigated extensively with the help of mean-field theory [30][31][32][33][34], Gutzwiller ansatz [35,36], quantum Monte Carlo [33,[36][37][38], Variational Monte-Carlo [39], and exact diagonalization [40,41] in 1D, 2D, and 3D. The results show that by adding cavity-mediated long-range interactions, the extended BHM exhibits a richer phase diagram with additional density wave (DW) and supersolid (SS) phases.…”

Section: Introductionmentioning

confidence: 99%

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Phase diagrams of the disordered Bose-Hubbard model with cavity-mediated long-range and nearest-neighbor interactions

Zhang

Rieger

2020

Eur. Phys. J. B

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Recent experiments with ultracold atoms in an optical lattice have realized cavity-mediated longrange interaction and observed the emergence of a supersolid phase and a density wave phase in addition to Mott insulator and superfluid phases. Here we consider theoretically the effect of uncorrelated disorder on the phase diagram of this system and study the two-dimensional Bose-Hubbard model with cavity-mediated long-range interactions and uncorrelated diagonal disorder. We also study the phase diagram of the extended Bose-Hubbard model with nearest-neighbor interactions in the presence of uncorrelated diagonal disorder. The extended Bose-Hubbard model with nearestneighbor interactions has been realized in the experiment using dipolar interaction recently. With the help of quantum Monte Carlo simulations using the worm algorithm, we determine the phase diagram of those two models. We compare the phase diagrams of cavity-mediated long-range interactions with nearest-neighbor interactions. We show that two kinds of Bose glass phases exist: one with and one without density wave order. We also find that weak disorder enhances the supersolid phase. :1908.11165v1 [cond-mat.dis-nn] arXiv

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Section: B Nearest-neighbor Interactionmentioning

confidence: 69%

Section: Ground State Phase Diagramsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Phase diagrams of the disordered Bose-Hubbard model with cavity-mediated long-range and nearest-neighbor interactions

Zhang

Rieger

2020

Eur. Phys. J. B

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“…a e-mail: johannes@lusi.uni-sb.de next-nearest-neighbor hopping [44], cavity-mediated long-range interactions [22,45,46] and a combination of nearest-neighbor and long-range interactions [21,34,47].…”

Section: Introductionmentioning

confidence: 99%

Haldane insulator in the 1D nearest-neighbor extended Bose-Hubbard model with cavity-mediated long-range interactions

Sicks¹,

Rieger²

2020

Eur. Phys. J. B

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In the one-dimensional Bose-Hubbard model with on-site and nearest-neighbor interactions, a gapped phase characterized by an exotic non-local order parameter emerges, the Haldane insulator. Bose-Hubbard models with cavity-mediated global range interactions display phase diagrams, which are very similar to those with nearest-neighbor repulsive interactions, but the Haldane phase remains elusive there. Here we study the one-dimensional Bose-Hubbard model with nearest-neighbor and cavity-mediated global-range interactions and scrutinize the existence of a Haldane Insulator phase. With the help of extensive quantum Monte-Carlo simulations we find that in the Bose-Hubbard model with only cavity-mediated global-range interactions no Haldane phase exists. For a combination of both interactions, the Haldane Insulator phase shrinks rapidly with increasing strength of the cavity-mediated global-range interactions. Thus, in spite of the otherwise very similar behavior the mean-field like cavity-mediated interactions strongly suppress the non-local order favored by nearest-neighbor repulsion in some regions of the phase diagram. Graphical abstract

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“…In the absence of disorder, with longrange interactions, the BHM exhibits a richer phase di-agram with additional density wave (DW) and supersolid (SS) phases [35][36][37][38]. The ground state phase diagram of the extended BHM with cavity-mediated longrange interactions has been investigated extensively with the help of mean-field theory [37,[39][40][41][42], Gutzwiller ansatz [38,43], quantum Monte Carlo [36,38,41], and Variational Monte-Carlo [44] methods in 1D, 2D, and 3D. The addition of disorder to the BHM with long-range interactions leads to additional phases.…”

Section: Introductionmentioning

confidence: 99%

The Effect of Disorder on the Phase Diagrams of Hard-Core Lattice Bosons With Cavity-Mediated Long-Range and Nearest-Neighbor Interactions

Zhang

Rieger

2020

Front. Phys.

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We use quantum Monte Carlo simulations with the worm algorithm to study the phase diagram of a two-dimensional Bose-Hubbard model with cavity-mediated long-range interactions and uncorrelated disorder in the hard-core limit. Our study shows the system is in a supersolid phase at weak disorder and a disordered solid phase at stronger disorder. Due to long-range interactions, a large region of metastable states exists in both clean and disordered systems. By comparing the phase diagrams for both clean and disordered systems, we find that disorder suppresses metastable states and superfluidity. We compare these results with the phase diagram of the extended Bose-Hubbard model with nearest-neighbor interactions. Here, the supersolid phase does not exist even at weak disorder. We identify two kinds of glassy phases: a Bose glass phase and a disordered solid phase. The glassy phases intervene between the density-wave and superfluid phases as the Griffiths phase of the Bose-Hubbard model. The disordered solid phase intervenes between the density-wave and Bose glass phases since both have a finite structure factor.

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Variational Monte-Carlo study of the extended Bose-Hubbard model with short- and infinite-range interactions

Cited by 13 publications

References 68 publications

Phase diagrams of the disordered Bose-Hubbard model with cavity-mediated long-range and nearest-neighbor interactions

Phase diagrams of the disordered Bose-Hubbard model with cavity-mediated long-range and nearest-neighbor interactions

Haldane insulator in the 1D nearest-neighbor extended Bose-Hubbard model with cavity-mediated long-range interactions

The Effect of Disorder on the Phase Diagrams of Hard-Core Lattice Bosons With Cavity-Mediated Long-Range and Nearest-Neighbor Interactions

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