Non-Hermitian topology in a single driven-dissipative Kerr-Cat qubit

• URL: http://arxiv.org/abs/2511.18482v1
• Date: Sun, 23 Nov 2025 15:00:31 GMT
• Title: Non-Hermitian topology in a single driven-dissipative Kerr-Cat qubit
• Authors: Pei-Rong Han, Huiye Qiu, Hao-Long Zhang, Wen Ning, Zhen-Biao Yang, Shi-Biao Zheng,
• Abstract summary: Recent investigations have extended non-Hermitian physics into the fully quantum domain.<n>We investigate the exceptional structure for a driven-dissipative Kerr-cat qubit, realized with a Kerr nonlinear resonator.<n>Our work opens the possibility of realizing non-Hermitian phenomena with continuous-variable quantum systems.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The intriguing physical phenomena associated with exceptional points have established non-Hermitian physics as a frontier of modern research. Recent investigations have extended non-Hermitian physics into the fully quantum domain. However, existing studies predominantly concentrate on discrete-variable quantum systems, while non-Hermitian quantum effects in continuous-variable encoded systems remain largely unexplored. In this work, we investigate the exceptional structure for a driven-dissipative Kerr-cat qubit, realized with a Kerr nonlinear resonator. We find that the dissipation leads to a bidirectional jump between the two basis states of the cat qubit, which is in distinct contrast with the unidirectional jump associated with normal two-level systems. The competition between this jump and a single-photon drive gives arise to the emergence of third-order Liouvillian exceptional points (LEP3s), each corresponds to a crossing point of two lines of LEP2s. We further show that the LEP3 can exhibit the topological character of the Hamiltonian EP3s, which cannot be realized with a single qubit. Our work opens the possibility of realizing non-Hermitian phenomena with continuous-variable quantum systems.

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