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在囚禁离子系统中，基于范德波尔振子机制的单离子声子激光态已在微弱电场测量和弱力检测等领域得到应用。声子激光态作为一种与光子激光的性质类似的相干声子态，通过激光相干边带激励和冷却技术，可以精确调控离子的振动状态，并有望在连续变量量子计算、量子非线性动力学和量子精密测量等领域展现进一步的应用。本文采用三能级模型对单离子量子区域内的声子激光态进行理论研究，通过求解主方程，获得了声子激光态的稳态相图，分析了系统的Wigner准概率分布和二阶关联特性。本文针对离子阱体系提出了实验实现方案，即通过蓝边带激光和红边带激光构成的双色光场共同作用于囚禁的单个40Ca+离子，从而在量子区域内产生声子激光态，并采用特征函数测量法对振动量子态进行表征。In trapped ion systems, single-ion phonon lasers based on the van der Pol oscillator mechanism have been applied in fields such as weak electric field measurement and weak force detection. As a coherent source analogous to photon lasers, phonon lasers precisely control the vibrational states of the ions through sideband excitation and cooling techniques, aiming to further extend their applications to areas such as continuous-variable quantum computing, quantum nonlinear dynamics, and quantum precision measurement. This paper presents a theoretical study of single-ion phonon laser in the quantum regime using a three-level model. By solving the master equation, we obtain the steady-state phase diagram for generating the phonon laser and analyze the system's Wigner quasi-probability distribution and second-order correlation properties. Based on the ion trap system, this paper proposes an experimental scheme, namely, using a bichromatic light field composed of a blue-sideband laser and a red-sideband laser acting on a trapped40Ca+ ion, thereby generating a phonon laser in the quantum regime. The vibrational quantum state is then characterized using the characteristic function measurement method.
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Keywords:
- Trapped ions /
- Wigner function /
- phonon laser
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