原子-腔系统中的合成贝里曲率
Synthetic Berry curvature in atom-cavity systems
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- State Key Laboratory of Quantum Optics Technologies and Devices, Institute of Theoretical Physics, Shanxi University（山西大学理论物理研究所量子光学技术与器件国家重点实验室）
- Hefei National Research Center for Physical Sciences at the Microscale and School of Physical Sciences, University of Science and Technology of China（中国科学技术大学物理科学学院微观尺度物理国家研究中心）
- Intelligent Quantum Inception Co., Ltd.（智能量子创想有限公司）
- iFLYTEK Research（科大讯飞研究院）
- CAS Center for Excellence in Quantum Information and Quantum Physics, University of Science and Technology of China（中国科学技术大学中国科学院量子信息与量子物理学前沿卓越中心）
- Hefei National Laboratory, University of Science and Technology of China（中国科学技术大学合肥国家实验室）
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中文总结 AI 辅助
本研究揭示原子-腔系统中平均场理论因忽略合成维度贝里曲率而失效，该曲率导致有限原子电流及类Laughlin光子产生。
中文摘要 AI 辅助
在原子-腔系统中，平均场理论被广泛使用，其中量子腔算符被替换为经典振幅。然后问题转化为原子在自洽势中的运动。平均场处理捕捉了腔介导相互作用的物理，并预测了自组织的超辐射相。然而，在本工作中，我们表明它对于某些原子-腔耦合是失效的：它预测零基态原子电流，而全量子计算显示出有限的电流。我们发现这种失效的起源是合成维度中非零的贝里曲率，该维度由光子Fock阶梯和实空间张成。在这种合成图像中，原子电流可以被理解为腔失谐的霍尔响应，而平均场坍缩了这一维度并丢弃了其霍尔响应所需的原子-光子关联。同样的超越平均场几何预测了在绝热磁通插入下的类Laughlin光子产生。我们的工作确定了合成贝里曲率作为原子-腔物理中静态平均场失效的具体机制。
英文摘要
In atom-cavity systems, mean field theory is widely used, in which the quantum cavity operator is replaced by a classical amplitude. Then the problem is converted into atoms moving in a self-consistent potential. The mean field treatment captures the physics of cavity mediated interactions, and predicts the self-organized superradiant phase. In this work, however, we show that it fails for certain atom-cavity coupling: it predicts zero ground state atomic current where the fully quantum calculation exhibits a finite one. We find that the origin of this failure is the non-zero Berry curvature in the synthetic dimension spanned by the photon Fock ladder and real space. In this synthetic picture, the atomic current can be understood as Hall response of cavity detuning, whereas mean field collapses this dimension and discards the atom--photon correlations required for its Hall response. The same beyond-mean-field geometry predicts Laughlin-like photon generation under adiabatic flux insertion. Our work identifies synthetic Berry curvature as a concrete mechanism for the breakdown of static mean field in atom--cavity physics.
