Bipartite and tripartite entanglement in the two-qubit quantum Rabi model

doi:10.1088/1674-1056/ae85f7

中国物理B ›› 2026, Vol. 35 ›› Issue (8): 80303-080303.doi: 10.1088/1674-1056/ae85f7

Bipartite and tripartite entanglement in the two-qubit quantum Rabi model

Lijun Mao(毛丽君)†, Hongmei Wang(王红梅), Yaoyao Zhou(周瑶瑶), and Hui Guo(郭慧)

Department of Physics, Taiyuan Normal University, Jinzhong 030619, China

收稿日期:2026-02-24 修回日期:2026-05-16 接受日期:2026-07-03 发布日期:2026-08-06
通讯作者: Lijun Mao E-mail:maolijun516@163.com
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11847111 and 11804246), the Scientific and Technological Innovation Program of Higher Education Institutions in Shanxi, China (Grant Nos. 2019L0822 and 2022L409), and the Natural Science Foundation of Shanxi Province, China (Grant No. 202203021221214).

Bipartite and tripartite entanglement in the two-qubit quantum Rabi model

Lijun Mao(毛丽君)†, Hongmei Wang(王红梅), Yaoyao Zhou(周瑶瑶), and Hui Guo(郭慧)

Department of Physics, Taiyuan Normal University, Jinzhong 030619, China

Received:2026-02-24 Revised:2026-05-16 Accepted:2026-07-03 Published:2026-08-06
Contact: Lijun Mao E-mail:maolijun516@163.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11847111 and 11804246), the Scientific and Technological Innovation Program of Higher Education Institutions in Shanxi, China (Grant Nos. 2019L0822 and 2022L409), and the Natural Science Foundation of Shanxi Province, China (Grant No. 202203021221214).

摘要/Abstract

摘要： This study investigates the entanglement dynamics of the two-qubit quantum Rabi model (QRM) with both homogeneous and inhomogeneous couplings using the adiabatic approximation. The quantized field is initially prepared in a coherent state, while a separable state and a maximally entangled Bell state are selected as the initial two-qubit states. We characterize distinct types of entanglement generated among the subsystems through qubit-field interactions, with a focus on the bipartite entanglement between a single qubit and the field. Building on this, we examine tripartite correlations through the I-residual tangle, a measure that conclusively verifies the presence of genuine tripartite entanglement among the two qubits and the field. This work provides insights into the generation of tunable multipartite entanglement and the detection of quantum phase transitions in light-matter systems, such as circuit quantum electrodynamics (QED).

关键词: I-residual tangle, tripartite entanglement, bipartite entanglement, two-qubit QRM

Abstract: This study investigates the entanglement dynamics of the two-qubit quantum Rabi model (QRM) with both homogeneous and inhomogeneous couplings using the adiabatic approximation. The quantized field is initially prepared in a coherent state, while a separable state and a maximally entangled Bell state are selected as the initial two-qubit states. We characterize distinct types of entanglement generated among the subsystems through qubit-field interactions, with a focus on the bipartite entanglement between a single qubit and the field. Building on this, we examine tripartite correlations through the I-residual tangle, a measure that conclusively verifies the presence of genuine tripartite entanglement among the two qubits and the field. This work provides insights into the generation of tunable multipartite entanglement and the detection of quantum phase transitions in light-matter systems, such as circuit quantum electrodynamics (QED).

Key words: I-residual tangle, tripartite entanglement, bipartite entanglement, two-qubit QRM

中图分类号: (Entanglement and quantum nonlocality)

03.65.Ud

42.50.Pq (Cavity quantum electrodynamics; micromasers) 42.50.Md (Optical transient phenomena: quantum beats, photon echo, free-induction decay, dephasings and revivals, optical nutation, and self-induced transparency)

Lijun Mao(毛丽君), Hongmei Wang(王红梅), Yaoyao Zhou(周瑶瑶), and Hui Guo(郭慧). Bipartite and tripartite entanglement in the two-qubit quantum Rabi model[J]. 中国物理B, 2026, 35(8): 80303-080303.

Lijun Mao(毛丽君), Hongmei Wang(王红梅), Yaoyao Zhou(周瑶瑶), and Hui Guo(郭慧). Bipartite and tripartite entanglement in the two-qubit quantum Rabi model[J]. Chin. Phys. B, 2026, 35(8): 80303-080303.

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Bipartite and tripartite entanglement in the two-qubit quantum Rabi model

Bipartite and tripartite entanglement in the two-qubit quantum Rabi model

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