Manipulation of quantum phase transitions with Z 2 symmetry for a realistic hybrid system

The critical behavior of the light-matter interactions in controllable systems provides an attractive direction for quantum manipulation. Inspired by “the broken symmetry will give rise to the quantum phase transitions (QPTs)”, the open-system QPTs of the Tavis–Cummings (TC) interactions with an ext...

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Main Authors: Shuang-Liang Yang, Dong-Yan Lü, Xin-Ke Li, Fazal Badshah, Long Jin, Yan-Hua Fu, Guang-Hui Wang, Yan-Zhang Dong, Yuan Zhou
Format: Article
Language:English
Published: Elsevier 2022-05-01
Series:Results in Physics
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S221137972200184X
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author Shuang-Liang Yang
Dong-Yan Lü
Xin-Ke Li
Fazal Badshah
Long Jin
Yan-Hua Fu
Guang-Hui Wang
Yan-Zhang Dong
Yuan Zhou
author_facet Shuang-Liang Yang
Dong-Yan Lü
Xin-Ke Li
Fazal Badshah
Long Jin
Yan-Hua Fu
Guang-Hui Wang
Yan-Zhang Dong
Yuan Zhou
author_sort Shuang-Liang Yang
collection DOAJ
description The critical behavior of the light-matter interactions in controllable systems provides an attractive direction for quantum manipulation. Inspired by “the broken symmetry will give rise to the quantum phase transitions (QPTs)”, the open-system QPTs of the Tavis–Cummings (TC) interactions with an extra second-order nonlinearity (SONL) are explored, where the systemic symmetry is reduced from U ( 1 ) to Z 2 . The critical behavior of a generic spins-microwave hybrid system is investigated using the standard mean-field approach in conjunction with different factors such as the SONL phase, the spins’ collective decay and dephasing, cavity dissipation, and detunings. The results show that all of the three decoherence factors and the detunings will affect its critical points, and the phase of SONL can especially exhibit a protective effect on QPTs. This study provides an encouraging example for mimicking the interesting light-matter interactions, and may further evoke some potential applications in quantum manipulations.
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spelling doaj.art-40b0497f3d154cb79fd2559161fddc792022-12-21T18:59:57ZengElsevierResults in Physics2211-37972022-05-0136105425Manipulation of quantum phase transitions with Z 2 symmetry for a realistic hybrid systemShuang-Liang Yang0Dong-Yan Lü1Xin-Ke Li2Fazal Badshah3Long Jin4Yan-Hua Fu5Guang-Hui Wang6Yan-Zhang Dong7Yuan Zhou8School of Mathematics, Physics and Optoelectronic Engineering, Hubei University of Automotive Technology, Shiyan 442002, ChinaSchool of Mathematics, Physics and Optoelectronic Engineering, Hubei University of Automotive Technology, Shiyan 442002, China; Corresponding author.School of Mathematics, Physics and Optoelectronic Engineering, Hubei University of Automotive Technology, Shiyan 442002, ChinaSchool of Electrical and Information Engineering, Hubei University of Automotive Technology, Shiyan 442002, ChinaSchool of Mathematics, Physics and Optoelectronic Engineering, Hubei University of Automotive Technology, Shiyan 442002, ChinaSchool of Mathematics, Physics and Optoelectronic Engineering, Hubei University of Automotive Technology, Shiyan 442002, ChinaSchool of Automobile Engineering, Hubei University of Automotive Technology, Shiyan 442002, ChinaSchool of Automobile Engineering, Hubei University of Automotive Technology, Shiyan 442002, ChinaSchool of Mathematics, Physics and Optoelectronic Engineering, Hubei University of Automotive Technology, Shiyan 442002, China; School of Physics, Huazhong University of Science and Technology, Wuhan 430074, China; Corresponding author at: School of Mathematics, Physics and Optoelectronic Engineering, Hubei University of Automotive Technology, Shiyan 442002, China.The critical behavior of the light-matter interactions in controllable systems provides an attractive direction for quantum manipulation. Inspired by “the broken symmetry will give rise to the quantum phase transitions (QPTs)”, the open-system QPTs of the Tavis–Cummings (TC) interactions with an extra second-order nonlinearity (SONL) are explored, where the systemic symmetry is reduced from U ( 1 ) to Z 2 . The critical behavior of a generic spins-microwave hybrid system is investigated using the standard mean-field approach in conjunction with different factors such as the SONL phase, the spins’ collective decay and dephasing, cavity dissipation, and detunings. The results show that all of the three decoherence factors and the detunings will affect its critical points, and the phase of SONL can especially exhibit a protective effect on QPTs. This study provides an encouraging example for mimicking the interesting light-matter interactions, and may further evoke some potential applications in quantum manipulations.http://www.sciencedirect.com/science/article/pii/S221137972200184XHybrid systemQuantum phase transitionTavis–Cummings model
spellingShingle Shuang-Liang Yang
Dong-Yan Lü
Xin-Ke Li
Fazal Badshah
Long Jin
Yan-Hua Fu
Guang-Hui Wang
Yan-Zhang Dong
Yuan Zhou
Manipulation of quantum phase transitions with Z 2 symmetry for a realistic hybrid system
Results in Physics
Hybrid system
Quantum phase transition
Tavis–Cummings model
title Manipulation of quantum phase transitions with Z 2 symmetry for a realistic hybrid system
title_full Manipulation of quantum phase transitions with Z 2 symmetry for a realistic hybrid system
title_fullStr Manipulation of quantum phase transitions with Z 2 symmetry for a realistic hybrid system
title_full_unstemmed Manipulation of quantum phase transitions with Z 2 symmetry for a realistic hybrid system
title_short Manipulation of quantum phase transitions with Z 2 symmetry for a realistic hybrid system
title_sort manipulation of quantum phase transitions with z 2 symmetry for a realistic hybrid system
topic Hybrid system
Quantum phase transition
Tavis–Cummings model
url http://www.sciencedirect.com/science/article/pii/S221137972200184X
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