Dimers, trimers, tetramers, and other multimers in a multiband Bose-Hubbard model

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2022-10-01

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Iskin, M.
Keleş, Ahmet

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We study the bound states of N identical bosons that are described by a multiband Bose-Hubbard model with generic hoppings and an attractive on-site interaction. Using a variational approach, we first derive exact integral equations for the dimers, trimers, tetramers, and other multimers, and then apply them to a one-dimensional sawtooth model that features two bands. In particular we reveal the presence of not only the off-site dimer states which consist of two monomers on different sites even in the strong-coupling limit but also the off-site trimer states which consist of either a dimer on one site and a monomer on another site or three monomers on three different sites. Our variational calculations for the ground states of on-site dimers, on-site trimers and off-site trimers benchmark perfectly well with the density matrix renormalization group (DMRG) simulations. We also present DMRG results for the ground states of on-site tetramers, off-site tetramers, on-site pentamers, off-site pentamers, and other multimers.

URI

https://hdl.handle.net/11511/101796

Journal

Physical Review A

DOI

https://doi.org/10.1103/physreva.106.043315

Collections

Department of Physics, Article

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Citation Formats

M. Iskin and A. Keleş, “Dimers, trimers, tetramers, and other multimers in a multiband Bose-Hubbard model,” Physical Review A, vol. 106, no. 4, pp. 0–0, 2022, Accessed: 00, 2023. [Online]. Available: https://hdl.handle.net/11511/101796.