Year: 2025
Type: preprint
Abstract: Using a cone-theoretical method, we prove the uniqueness of the ground state for two Bose Hubbard models. The first model is the usual Bose Hubbard model with real hopping coefficients and attractive interactions. The second model is a two-component Bose Hubbard model. Under certain conditions, we show that the ground state in the subspace with particle number $N=2n$($n$ is a positive integer) is unique for both models. For the second model, we show that the ground state has spin along the z-axis $S^{z}=0$. When the hopping coefficients are real, it has zero spin quantum number, i.e., it is a singlet. Our proofs work equally well for any arbitrary finite-size lattice.
Source: arXiv (Cornell University)
Authors: Wei, Zhong-Chao, Zhao, Chong
Institutions: Qingdao Binhai University, Shandong University
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Award: G3616069878
OpenAlex ID: W4415330268
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