Exceptional phase transition in a single Kerr-cat qubit
- URL: http://arxiv.org/abs/2602.01934v1
- Date: Mon, 02 Feb 2026 10:36:31 GMT
- Title: Exceptional phase transition in a single Kerr-cat qubit
- Authors: Pei-Rong Han, Tian-Le Yang, Wen Ning, Hao-Long Zhang, Huifang Kang, Huiye Qiu, Zhen-Biao Yang,
- Abstract summary: We construct and investigate a Liouvillian exceptional structure based on a driven-dissipative Kerr-cat qubit.<n>Our results establish the Kerr-cat qubit as a novel continuous-variable setting for exploring dissipative quantum criticality and intrinsic non-Hermitian physics.
- Score: 0.08376229126363229
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Exceptional points in non-Hermitian quantum systems give rise to novel genuine quantum phenomena. Recent explorations of exceptional-point-induced quantum phase transitions have extended from discrete-variable to continuous-variable-encoded quantum systems. However, quantum phase transitions driven by Liouvillian exceptional points (LEPs) in continuous-variable platforms remain largely unexplored. Here, we construct and investigate a Liouvillian exceptional structure based on a driven-dissipative Kerr-cat qubit. Through numerical simulations, we reveal a quantum phase transition occurring at the LEP characterized by a sudden change in dynamical behavior from underdamped oscillations to overdamped relaxations as visualized via Wigner functions and Bloch sphere trajectories. Notably the negativity of the Wigner function serves as a direct signature of genuine quantum coherence unattainable in conventional single-qubit non-Hermitian systems. Furthermore, we introduce the phase difference between the off-diagonal elements of the Liouvillian eigenmatrices as a novel parameter to quantify the transition. Our results establish the Kerr-cat qubit as a novel continuous-variable setting for exploring dissipative quantum criticality and intrinsic non-Hermitian physics.
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