论文标题
基于Bose-Hubbard模型的旋转速度的量子传感
Quantum sensing of rotation velocity based on Bose-Hubbard model
论文作者
论文摘要
从理论上讲，这项工作从旋转框架中的环几何形状中研究了玻色 - 哈伯德模型。我们通过使用统一变换获得有效的哈密顿量，其中旋转参考框架的效果将额外的阶段引入跳跃常数。在平均场理论中，Bose-Hubbard模型的相变边缘不仅取决于粒子数和环半径，而且还取决于旋转速度。因此，我们提出了使用Bose-Hubbard模型的相变边缘的旋转速度的传感方法。在这种传感方法最敏感的确切相变边缘处，分辨率取决于旋转速度，粒子数和环半径，而与Bose-Hubbard模型中的参数无关，例如跳跃常数和现场相互作用。
This work theoretically study the Bose-Hubbard model in a ring geometry in a rotating frame. We obtain an effective Hamiltonian by using unitary transformation, where the effect of the rotating reference frame is introducing additional phases to the hopping constant. Within the mean-field theory, the phase transition edge of the Bose-Hubbard model not only depends on the particle numbers and the ring radius, but also depends on the rotation velocity. Therefore, we propose a sensing method of the rotation velocity using the phase transition edge of the Bose-Hubbard model. At the exact phase transition edge where this sensing method is most sensitive, the resolution depends on the rotation velocity, the particle numbers and the ring radius, while is independent of the parameters in the Bose-Hubbard model such as the hopping constant and the on-site interaction.
