Quantum many-body scars in the Bose-Hubbard model with a three-body constraint

• URL: http://arxiv.org/abs/2308.12151v2
• Date: Wed, 17 Jan 2024 11:20:06 GMT
• Title: Quantum many-body scars in the Bose-Hubbard model with a three-body constraint
• Authors: Ryui Kaneko, Masaya Kunimi, Ippei Danshita
• Abstract summary: We uncover the exact athermal eigenstates in the Bose-Hubbard (BH) model with a three-body constraint. We find that the QMBS state exists as the lowest-energy eigenstate of the effective model in the highest-energy sector.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We uncover the exact athermal eigenstates in the Bose-Hubbard (BH) model with a three-body constraint, motivated by the exact construction of quantum many-body scar (QMBS) states in the $S=1$ $XY$ model. These states are generated by applying an $\rm SU(2)$ ladder operator consisting of a linear combination of two-particle annihilation operators to the fully occupied state. By using the improved Holstein-Primakoff expansion, we clarify that the QMBS states in the $S=1$ $XY$ model are equivalent to those in the constrained BH model with additional correlated hopping terms. We also find that, in the strong-coupling limit of the constrained BH model, the QMBS state exists as the lowest-energy eigenstate of the effective model in the highest-energy sector. This fact enables us to prepare the QMBS states in a certain adiabatic process and opens up the possibility of observing them in ultracold-atom experiments.

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