Geometric criticality in the driven Jaynes-Cummings model

Fuente: arXiv
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Autori principali: Chen, Ken, Lv, Jia-Hao, Zhang, Hao-Long, Wu, Fan, Ning, Wen, Yang, Zhen-Biao, Zheng, Shi-Biao
Natura: Preprint
Pubblicazione: 2026
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author Chen, Ken
Lv, Jia-Hao
Zhang, Hao-Long
Wu, Fan
Ning, Wen
Yang, Zhen-Biao
Zheng, Shi-Biao
author_facet Chen, Ken
Lv, Jia-Hao
Zhang, Hao-Long
Wu, Fan
Ning, Wen
Yang, Zhen-Biao
Zheng, Shi-Biao
contents When the photonic mode in the Jaynes-Cummings model is driven by an external classical field, the system can undergo the photon-blockade breakdown phase transition at a critical point. Such a phase transition has been detailedly investigated, but the critical properties of the eigenstates remain largely unexplored so far. We here study the geometric criticality associated with these eigenstates. The amplitude and phase of the drive serve as the control parameter of the governing Hamiltonian. We find the quantum metric and Berry curvature tensors for each eigenstate display divergent behaviors in the critical region. More importantly, the divergence associated with bright eigenstates is much more pronounced than that for the unique dark state. Our theoretical results can be experimentally confirmed in circuit quantum electrodynamics systems, where the driven Jaynes-Cummings model has been realized.
format Preprint
id arxiv_https___arxiv_org_abs_2602_07795
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Geometric criticality in the driven Jaynes-Cummings model
Chen, Ken
Lv, Jia-Hao
Zhang, Hao-Long
Wu, Fan
Ning, Wen
Yang, Zhen-Biao
Zheng, Shi-Biao
Quantum Physics
When the photonic mode in the Jaynes-Cummings model is driven by an external classical field, the system can undergo the photon-blockade breakdown phase transition at a critical point. Such a phase transition has been detailedly investigated, but the critical properties of the eigenstates remain largely unexplored so far. We here study the geometric criticality associated with these eigenstates. The amplitude and phase of the drive serve as the control parameter of the governing Hamiltonian. We find the quantum metric and Berry curvature tensors for each eigenstate display divergent behaviors in the critical region. More importantly, the divergence associated with bright eigenstates is much more pronounced than that for the unique dark state. Our theoretical results can be experimentally confirmed in circuit quantum electrodynamics systems, where the driven Jaynes-Cummings model has been realized.
title Geometric criticality in the driven Jaynes-Cummings model
topic Quantum Physics
url https://arxiv.org/abs/2602.07795