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Quantum phases of hardcore bosons with repulsive dipolar density-density interactions on two-dimensional lattices

by J. A. Koziol, G. Morigi, K. P. Schmidt

Submission summary

Authors (as registered SciPost users): Jan Alexander Koziol · Giovanna Morigi · Kai Phillip Schmidt
Submission information
Preprint Link: https://arxiv.org/abs/2311.10632v3  (pdf)
Data repository: https://zenodo.org/records/10126774
Date accepted: 2024-09-17
Date submitted: 2024-09-12 09:57
Submitted by: Koziol, Jan Alexander
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
Specialties:
  • Atomic, Molecular and Optical Physics - Theory
  • Condensed Matter Physics - Theory
  • Condensed Matter Physics - Computational
Approaches: Theoretical, Computational

Abstract

We analyse the ground-state quantum phase diagram of hardcore Bosons interacting with repulsive dipolar potentials. The bosons dynamics is described by the extended-Bose-Hubbard Hamiltonian on a two-dimensional lattice. The ground state results from the interplay between the lattice geometry and the long-range interactions, which we account for by means of a classical spin mean-field approach limited by the size of the considered unit cells. This extended classical spin mean-field theory accounts for the long-range density-density interaction without truncation. We consider three different lattice geometries: square, honeycomb, and triangular. In the limit of zero hopping the ground state is always a devil's staircase of solid (gapped) phases. Such crystalline phases with broken translational symmetry are robust with respect to finite hopping amplitudes. At intermediate hopping amplitudes, these gapped phases melt, giving rise to various lattice supersolid phases, which can have exotic features with multiple sublattice densities. At sufficiently large hoppings the ground state is a superfluid. The stability of phases predicted by our approach is gauged by comparison to the known quantum phase diagrams of the Bose-Hubbard model with nearest-neighbour interactions as well as quantum Monte Carlo simulations for the dipolar case on the square and triangular lattice. Our results are of immediate relevance for experimental realisations of self-organised crystalline ordering patterns in analogue quantum simulators, e.g., with ultracold dipolar atoms in an optical lattice.

Author indications on fulfilling journal expectations

  • Provide a novel and synergetic link between different research areas.
  • Open a new pathway in an existing or a new research direction, with clear potential for multi-pronged follow-up work
  • Detail a groundbreaking theoretical/experimental/computational discovery
  • Present a breakthrough on a previously-identified and long-standing research stumbling block

List of changes

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List of changes
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- Sec. 3.1: We added an entire paragraph at the end of the section outlining a novel numerical tool to efficiently evaluate the resummed couplings.

- Sec. 3.4: We added two statements, the first emphasising the comparison to quantum Monte Carlo results, the second summarising general statements about quantum fluctuations.

- Sec. 7: We added the second paragraph, where we outline how ultracold dipolar atoms or molecules can be used to realize our model. We summarize how to experimentally tune model parameters and how to experimentally probe diagonal and off-diagonal long-range order in the model.

- Sec. 7: We added the second to last paragraph, where we elaborate on potential improvements of the approach.

- Sec. 8: We adjusted the acknowledgements statement.

- Bibliography: We added the reference Epstein1903

- Bibliography: We added the reference Epstein1906

- Bibliography: We added the reference Crandall2012

- Bibliography: We added the reference Buchheit2021

- Bibliography: We added the reference Buchheit2022

- Bibliography: We added the reference Buchheit2024

- Bibliography: We added the reference KoziolDataOld

- Bibliography: We added the reference Buchheit2024Code

- Bibliography: We added the reference Griesmaier2005

- Bibliography: We added the reference Lu2011

- Bibliography: We added the reference Aikawa2012

- Bibliography: We added the reference Ni2008

- Bibliography: We added the reference Danzl2008

- Bibliography: We added the reference Deiglmayr2008

- Bibliography: We added the reference dePaz2013

Current status:
Accepted in target Journal

Editorial decision: For Journal SciPost Physics: Publish
(status: Editorial decision fixed and (if required) accepted by authors)

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