Abstract
We study quantum phase transitions by measuring the energy level crossing and the number density in the one-dimensional Bose Hubbard model with pairing potential. Using the matrix product operator and the matrix product state, we perform the infinite density matrix renormalization group to determine the ground states. Depending on the chemical potential and the pairing potential, the number density shows clear signatures of the Mott transition. Our results confirm that the U(1)-phase symmetry breaking is associated with superfluidity in the Bose Hubbard model.
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Acknowledgements
This work was partially supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (Grant No. NRF-2021R1F1A1052347). The author would like to thank M. C. Cha for helpful discussions.
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Chung, MH. Quantum phase transitions in the Bose Hubbard model with pairing potential. J. Korean Phys. Soc. 80, 1143–1147 (2022). https://doi.org/10.1007/s40042-022-00473-3
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DOI: https://doi.org/10.1007/s40042-022-00473-3