Natural Non‐Hermitian Control of High‐Dimensional Rabi Oscillations of Triphoton Using Multidressing Quantization

• Published in: Quantum engineering Vol. 2025; no. 1
• Main Authors: Wei, Jiaxuan, Yang, Qinyue, Wei, Jiajia, Zhuang, Rui, Zhang, Da, Zhang, Lei, Li, Feng, Cai, Yin, Zhang, Yanpeng
• Format: Journal Article
• Language: English
• Published: Hoboken John Wiley & Sons, Inc 01.01.2025
• Subjects: Broken symmetry; Correlation analysis; Eigenvalues; Energy conservation; Energy levels; Hamiltonian functions; Quantum computing; Quantum entanglement; Rabi frequency; Symmetry
• ISSN: 2577-0470; 2577-0470
• DOI: 10.1155/que2/9174040

The concept of non‐Hermitian systems, also known as exceptional points (EPs), has recently emerged as a novel approach for designing the response of systems that exchange energy with the external environment. The system behaves as a non‐Hermitian Hamiltonian (NH Hamiltonian), the real part of which is related to the internal dynamics of the system, and the imaginary part reflects the energy exchange between the system and the outside environment. By utilizing double EIT windows and adjusting the intensity of the dressing field, the number and positions of eigenvalues can be modulated to construct quantum entanglement sources for non‐Hermitian systems, thereby laying the foundation for quantum communication and quantum computing. To prepare photon entanglement sources, it is necessary to study the correlation of high‐dimensional quantized energy levels under PT symmetry and symmetry breaking induced by the dressing field; Hamiltonian correlation matrix of the non‐Hermitian system characterizes the relationship between gain and loss, detuning and dephasing rate in the reaction energy‐level system, and the coupling relationship of the dressing field. The energy‐level system itself is non‐Hermitian, and the study of symmetry breaking is conducted by controlling EPs during the level control process through the dressing field, thus eliminating the need for introducing artificial photonic structures. The third‐order non‐Hermitian characteristics of the PT‐NH system reflect the positional relationship between the cascade field and the nested field. When the Rabi frequency (dephase rate) of the dressing field is the dominant factor, the real (imaginary) part of the eigenvalues is split, resulting in in‐phase (out‐of‐phase) constructive (destructive) transformations of the dressing order.