• DOI:10.1103/PhysRevA.105.053310
• Corpus ID: 245986672

Two-particle states in one-dimensional coupled Bose-Hubbard models

@article{Li2022TwoparticleSI,
  title={Two-particle states in one-dimensional coupled Bose-Hubbard models},
  author={Yabo Li and D Schneble and Tzu-Chieh Wei},
  journal={Physical Review A},
  year={2022}
}

• Yabo Li, D. Schneble, T. Wei
• Published 14 January 2022
• Physics
• Physical Review A

We study dynamically coupled one-dimensional Bose-Hubbard models and solve for the wave functions and energies of two-particle eigenstates. Even though the wave functions do not directly follow the form of a Bethe Ansatz, we describe an intuitive construction to express them as combinations of Choy-Haldane states for models with intraand inter-species interaction. We find that the two-particle spectrum of the system with generic interactions comprises in general four different continua and three doublon dispersions. The existence of doublons depends on the coupling strength Ω between two species of bosons, and their energies vary with Ω and interaction strengths. We give details on one specific limit, i.e., with infinite interaction, and derive the spectrum for all types of two-particle states and their spatial and entanglement properties. We demonstrate the difference in time evolution under different coupling strengths, and examine the relation between the long-time behavior of the system and the doublon dispersion. These dynamics can in principle be observed in cold atoms and might also be simulated by digital quantum computers.