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Main Authors: Zhu, Xin, Lü, Jia-Hao, Ning, Wen, Shen, Li-Tuo, Wu, Fan, Yang, Zhen-Biao
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2406.06301
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author Zhu, Xin
Lü, Jia-Hao
Ning, Wen
Shen, Li-Tuo
Wu, Fan
Yang, Zhen-Biao
author_facet Zhu, Xin
Lü, Jia-Hao
Ning, Wen
Shen, Li-Tuo
Wu, Fan
Yang, Zhen-Biao
contents We investigate the quantum phase transition in the anisotropic Dicke model through an examination of the quantum geometric tensor of the ground state. In this analysis, two distinct classical limits exhibit their unique anisotropic characteristics. The classical spin limit demonstrates a preference for the rotating-wave coupling, whereas the classical oscillator limit exhibits symmetry in the coupling strength of the bias. The anisotropic features of the classical spin limit persist at finite scales. Furthermore, we observe that the interplay among the anisotropic ratio, spin length, and frequency ratio can collectively enhance the critical behaviors. This critical enhancement without trade-off between these factors provides a flexible method for quantum precision measurement.
format Preprint
id arxiv_https___arxiv_org_abs_2406_06301
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Quantum Geometric Tensor and Critical Metrology in the Anisotropic Dicke Model
Zhu, Xin
Lü, Jia-Hao
Ning, Wen
Shen, Li-Tuo
Wu, Fan
Yang, Zhen-Biao
Quantum Physics
We investigate the quantum phase transition in the anisotropic Dicke model through an examination of the quantum geometric tensor of the ground state. In this analysis, two distinct classical limits exhibit their unique anisotropic characteristics. The classical spin limit demonstrates a preference for the rotating-wave coupling, whereas the classical oscillator limit exhibits symmetry in the coupling strength of the bias. The anisotropic features of the classical spin limit persist at finite scales. Furthermore, we observe that the interplay among the anisotropic ratio, spin length, and frequency ratio can collectively enhance the critical behaviors. This critical enhancement without trade-off between these factors provides a flexible method for quantum precision measurement.
title Quantum Geometric Tensor and Critical Metrology in the Anisotropic Dicke Model
topic Quantum Physics
url https://arxiv.org/abs/2406.06301