Mean-field analysis of quantum phase transitions in a periodic optical superlattice

Dhar, Arya; Singh, Manpreet; Pai, Ramesh V.; Das, B. P.

doi:10.1103/physreva.84.033631

Cited by 25 publications

(24 citation statements)

References 22 publications

(37 reference statements)

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“…However, in order to qualitatively understand the quantum phase transitions exhibited in this model, we use the self consistent CMFT method. This method is capable of capturing the relevant physics that arises due to quantum correlations, which was not always possible to achieve in the conventional single site mean-field theory decoupling approximation [53][54][55][56][57][58]. The CMFT can account for non-local interaction more accurately by retaining them in the exact form.…”

Section: Model and Methodsmentioning

confidence: 99%

Quantum phases of attractive bosons on a Bose-Hubbard ladder with three-body constraint

et al. 2014

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We obtain the complete quantum phase diagram of bosons on a two-leg ladder in the presence of attractive onsite and repulsive interchain nearest neighbor interactions by imposing the onsite three body constraint. We find three distinct phases, namely, the atomic superfluid(ASF), dimer superfluid (DSF) and the dimer rung insulator (DRI). In the absence of the interchain nearest neighbor repulsion, the system exhibits a transition from the ASF to the DSF phase with increasing onsite attraction. However, the presence of the interchain nearest neighbor repulsion stabilizes a gapped DRI phase, which is flanked by the DSF phase. We also obtain the phase diagram of the system for different values of the interchain nearest neighbor interaction. By evaluating different order parameters, we obtain the complete phase diagram and the properties of the phase transitions using the self consistent cluster mean field theory.

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Section: Model and Methodsmentioning

confidence: 99%

Quantum phases of attractive bosons on a Bose-Hubbard ladder with three-body constraint

et al. 2014

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“…This approach reduces the description to an effective two-site problem where the different order parameters are calculated self-consistently with the ground state of the system using an iterative algorithm [21]. In the experiment, the Z 2 -symmetry will be spontaneously broken and we choose without loss of generality θ ≥ 0.…”

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confidence: 99%

Phase transitions in a Bose-Hubbard model with cavity-mediated global-range interactions

et al. 2016

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We study a system with competing short-and global-range interactions in the framework of the Bose-Hubbard model. Using a mean-field approximation we obtain the phase diagram of the system and observe four different phases: a superfluid, a supersolid, a Mott insulator and a charge density wave, where the transitions between the various phases can be either of first or second order. We qualitatively support these results using Monte-Carlo simulations. An analysis of the low-energy excitations shows that the second-order phase transition from the charge density wave to the supersolid is associated with the softening of particle-and hole-like excitations which give rise to a gapless mode and an amplitude Higgs mode in the supersolid phase. This amplitude Higgs mode is further transformed into a roton mode which softens at the supersolid to superfluid phase transition.

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“…Also approximate techniques were applied to the BHM, like mean-field theory [1,12,13], strong coupling expansion [14], Gutzwiller wave function variational calculation [15,16] and density matrix renormalisation group method [17].…”

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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Mean-field analysis of quantum phase transitions in a periodic optical superlattice

Cited by 25 publications

References 22 publications

Quantum phases of attractive bosons on a Bose-Hubbard ladder with three-body constraint

Quantum phases of attractive bosons on a Bose-Hubbard ladder with three-body constraint

Phase transitions in a Bose-Hubbard model with cavity-mediated global-range interactions

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

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