We study the quantum-classical correspondence of an experimentally accessible system of interacting bosons in a tilted triple-well potential. With the semiclassical analysis, we get a better understanding of the different phases of the quantum system and how they could be used for quantum information science. In the integrable limits, our analysis of the stationary points of the semiclassical Hamiltonian reveals critical points associated with second-order quantum phase transitions. In the nonintegrable domain, the system exhibits crossovers. Depending on the parameters and quantities, the quantum-classical correspondence holds for very few bosons. In some parameter regions, the ground state is robust (highly sensitive) to changes in the interaction strength (tilt amplitude), which may be of use for quantum information protocols (quantum sensing).

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三阱势中相互作用玻色子系统的量子经典对应

我们研究了倾斜三阱势中相互作用玻色子的实验可访问系统的量子经典对应关系。通过半经典分析，我们可以更好地了解量子系统的不同阶段以及它们如何用于量子信息科学。在可积极限中，我们对半经典哈密顿量驻点的分析揭示了与二阶量子相变相关的临界点。在不可积域中，系统表现出交叉。根据参数和数量，量子经典对应关系适用于极少数玻色子。在某些参数区域中，基态对相互作用强度（倾斜幅度）的变化具有鲁棒性（高度敏感），这可能对量子信息协议（量子传感）有用。