Exceptional points and quantum dynamics in a non-Hermitian two-qubit system

doi:10.1088/1674-1056/ad2a70

Abstract We study the exceptional-point (EP) structure and the associated quantum dynamics in a system consisting of a non-Hermitian qubit and a Hermitian qubit. We find that the system possesses two sets of EPs, which divide the system-parameter space into $\mathcal{PT}$-symmetry unbroken, partially broken and fully broken regimes, each with distinct quantum-dynamics characteristics. Particularly, in the partially broken regime, while the $\mathcal{PT}$-symmetry is generally broken in the whole four-dimensional Hilbert space, it is preserved in a two-dimensional subspace such that the quantum dynamics in the subspace are similar to those in the $\mathcal{PT}$-symmetry unbroken regime. In addition, we reveal that the competition between the inter-qubit coupling and the intra-qubit driving gives rise to a complex pattern in the EP variation with system parameters.

Keywords: non-Hermitian system exceptional point $\mathcal{PT}$-symmetry

Received: 09 December 2023
Revised: 29 January 2024
Accepted manuscript online: 19 February 2024

PACS:	03.65.-w	(Quantum mechanics)
	03.65.Yz	(Decoherence; open systems; quantum statistical methods)
	03.67.-a	(Quantum information)

Fund: This work is partly funded by the Natural Science Foundation of Shandong Province of China (Grant Nos. ZR2021MA091 and ZR2018MA044), Introduction and Cultivation Plan of Youth Innovation Talents for Universities of Shandong Province (Research and Innovation Team on Materials Modification and Optoelectronic Devices at extreme conditions).

Corresponding Authors: Zhen-Tao Zhang, Zhen-Shan Yang
E-mail: zhzhentao@163.com；yangzhenshan@lcu.edu.cn

Cite this article:

Yi-Xi Zhang(张益玺), Zhen-Tao Zhang(张振涛), Zhen-Shan Yang(杨震山), Xiao-Zhi Wei(魏晓志), and Bao-Long Liang(梁宝龙) Exceptional points and quantum dynamics in a non-Hermitian two-qubit system 2024 Chin. Phys. B 33 060308

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