Corpus ID: 235458004

Solving the Bose-Hubbard model in new ways

@inproceedings{Sowa2021SolvingTB,
  title={Solving the Bose-Hubbard model in new ways},
  author={A. Sowa and J. Fransson},
  year={2021}
}
We introduce a new method for analysing the Bose-Hubbard model for an array of bosons with nearest neighbor interactions. It is based on a number-theoretic implementation of the creation and annihilation operators that constitute the model. One of the advantages of this approach is that it facilitates computation with arbitrary accuracy, enabling nearly perfect numerical experimentation. In particular, we provide a rigorous computer assisted proof of quantum phase transitions in finite systems… Expand

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References

SHOWING 1-10 OF 18 REFERENCES
Dynamical mean-field theory for the Bose-Hubbard model
The dynamical mean field theory (DMFT), which is successful in the study of strongly correlated fermions, was recently extended to boson systems [Phys. Rev. B {\textbf 77}, 235106 (2008)]. In thisExpand
Quantum phases of a one-dimensional Majorana-Bose-Hubbard model
Majorana zero modes (MZM-s) occurring at the edges of a one-dimensional (1D), $p$-wave, spinless superconductor, in the absence of fluctuations of the phase of the superconducting order parameter,Expand
The Two-Site Bose–Hubbard Model
Abstract.The two-site Bose–Hubbard model is a simple model used to study Josephson tunneling between two Bose–Einstein condensates. In this work we give an overview of some mathematical aspects ofExpand
Yang-Baxter integrable models in experiments: from condensed matter to ultracold atoms
The Yang-Baxter equation has long been recognised as the masterkey to integrability, providing the basis for exactly solved models which capture the fundamental physics of a number of realisticExpand
Superfluid weight and polarization amplitude in the one-dimensional bosonic Hubbard model
We calculate the superfluid weight and the polarization amplitude for the one-dimensional bosonic Hubbard model focusing on the strong-coupling regime. Other than analytic calculations we apply twoExpand
The one-dimensional Bose-Hubbard Model with nearest-neighbor interaction
We study the one-dimensional Bose-Hubbard model using the Density-Matrix Renormalization Group (DMRG). For the cases of on-site interactions and additional nearest-neighbor interactions the phaseExpand
Quantum dynamics of a model for two Josephson-coupled Bose–Einstein condensates
In this work, we investigate the quantum dynamics of a model for two singlemode Bose-Einstein condensates which are coupled via Josephson tunnelling. Using direct numerical diagonalization of theExpand
Phases of the one-dimensional Bose-Hubbard model
The zero-temperature phase diagram of the one-dimensional Bose-Hubbard model with nearest-neighbor interaction is investigated using the density-matrix renormalization group. Recently normal phasesExpand
Quantization of the Optical Phase Space S^2 = {phi mod 2pi, I > 0} in Terms of the Group SO(1,2)
The problem of quantizing the canonical pair angle and action variables phi and I is almost as old as quantum mechanics itself and since decades a strongly debated but still unresolved issue inExpand
Phase diagram of spin-1 bosons on one-dimensional lattices.
TLDR
The density matrix renormalization group is applied to accurately determine the phase diagram for spin-1 bosons loaded on a one-dimensional lattice and it is shown that for odd fillings the insulating phase is always in a dimerized state. Expand
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