Quantum metric and metrology with parametrically-driven Tavis-Cummings models

• URL: http://arxiv.org/abs/2312.08164v1
• Date: Wed, 13 Dec 2023 14:20:03 GMT
• Title: Quantum metric and metrology with parametrically-driven Tavis-Cummings models
• Authors: Jia-Hao L\"u, Pei-Rong Han, Wen Ning, Xin Zhu, Fan Wu, Li-Tuo Shen, Zhen-Biao Yang, Shi-Biao Zheng
• Abstract summary: We study the quantum metric in a driven Tavis-Cummings model, comprised of multiple qubits interacting with a quantized photonic field. We analytically solved the eigenenergies and eigenstates, and numerically simulated the system behaviors near the critical point.
• Score: 4.419622364505575
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We study the quantum metric in a driven Tavis-Cummings model, comprised of multiple qubits interacting with a quantized photonic field. The parametrical driving of the photonic field breaks the system's U(1) symmetry down to a ${\rm Z}_2$ symmetry, whose spontaneous breaking initiates a superradiant phase transition. We analytically solved the eigenenergies and eigenstates, and numerically simulated the system behaviors near the critical point. The critical behaviors near the superradiant phase transition are characterized by the quantum metric, defined in terms of the response of the quantum state to variation of the control parameter. In addition, a quantum metrological protocol based on the critical behaviors of the quantum metric near the superradiant phase transition is proposed, which enables greatly the achievable measurement precision.

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