New approach to measuring topological phase transitions utilizing Floquet technology

doi:10.1088/1674-1056/ad5d94

Abstract The Floquet technique provides a novel anomalous topological phase for non-equilibrium phase transitions. Based on the high symmetry of the quantum anomalous Hall model, the findings suggest a one-to-one correspondence between the average spin texture and the Floquet quasi-energy spectrum. A new approach is proposed to directly measure the quasi-energy spectrum, replacing previous measurements of the average spin texture. Finally, we proposed a reliable experimental scheme based on ion trap platforms. This scheme markedly reduces the measurement workload, improves the measurement fidelity, and is applicable to multiple platforms such as cold atoms and nuclear magnetic resonance.

Keywords: topological phase transition Floquet technique ion trap

Received: 18 May 2024
Revised: 26 June 2024
Accepted manuscript online: 02 July 2024

PACS:	03.65.Vf	(Phases: geometric; dynamic or topological)
	42.50.Dv	(Quantum state engineering and measurements)
	37.10.Ty	(Ion trapping)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11904402, 12174447, 12074433, 12004430, and 12174448).

Corresponding Authors: Wei Wu, Ping-Xing Chen
E-mail: weiwu@nudt.edu.cn;pxchen@nudt.edu.cn

Cite this article:

Xue-Ying Yang(杨雪滢), Wei Wu(吴伟), and Ping-Xing Chen(陈平形) New approach to measuring topological phase transitions utilizing Floquet technology 2024 Chin. Phys. B 33 090305

[1] Quintana M, Martín Valderrama C and Berger A 2023 Phys. Rev. E 108 064121
[2] Riego P, Vavassori P and Berger A 2017 Phys. Rev. Lett. 118 117202
[3] Park H and Pleimling M 2012 Phys. Rev. Lett. 109 175703
[4] Wilczek F 2012 Phys. Rev. Lett. 109 160401
[5] Else D V, Bauer B and Nayak C 2016 Phys. Rev. Lett. 117 090402
[6] Keßler H, Kongkhambut P, Georges C, Mathey L, Cosme J G and Hemmerich A 2021 Phys. Rev. Lett. 127 043602
[7] Peng Y 2022 Phys. Rev. Lett. 128 186802
[8] Sadhukhan S and Ghosh S 2023 Phys. Rev. A 108 023511
[9] Sivananda D J, Roy N, Mahato P C and Banerjee S S 2020 Phys. Rev. Res. 2 043237
[10] Yoshimura T, Bidzhiev K and Saleur H 2020 Phys. Rev. B 102 125124
[11] Song T, Moreau P, Aichelin J and Bratkovskaya E 2020 Phys. Rev. C 101 044901
[12] Rudner M S and Lindner N H 2020 Nature Reviews Physics 2 229
[13] Cayssol J, Dóra B, Simon F and Moessner R 2013 Physica Status Solidi (RRL) 7 101
[14] Goldman N and Dalibard J 2014 Phys. Rev. X 4 031027
[15] Jotzu G, Messer M, Desbuquois R, Lebrat M, Uehlinger T, Greif D and Esslinger T 2014 Nature 515 237
[16] Fläschner N, Rem B S, Tarnowski M, Vogel D, L ühmann D S, Seng-stock K and Weitenberg C 2016 Science 352 1091
[17] Peng Y and Refael G 2019 Phys. Rev. Lett. 123 016806
[18] Hu H, Huang B, Zhao E and Liu W V 2020 Phys. Rev. Lett. 124 057001
[19] Rudner M S, Lindner N H, Berg E and Levin M 2013 Phys. Rev. X 3 031005
[20] Nathan F and Rudner M S 2015 New J. Phys. 17 125014
[21] Yao S, Yan Z and Wang Z 2017 Phys. Rev. B 96 195303
[22] Wintersperger K, Braun C, Ünal F N, Eckardt A, Liberto M D, Gold-man N, Bloch I and Aidelsburger M 2020 Nat. Phys. 16 1058
[23] Zhang L, Zhang L and Liu X J 2020 Phys. Rev. Lett. 125 183001
[24] Zhang J Y, Yi C R, Zhang L, Jiao R H, Shi K Y, Yuan H, Zhang W, Liu X J, Chen S and Pan J W 2023 Phys. Rev. Lett. 130 043201
[25] Maczewsky L J, Zeuner J M, Nolte S and Szameit A 2017 Nat. Commun. 8 13756
[26] Hu W, Pillay J C, Wu K, Pasek M, Shum P P and Chong Y D 2015 Phys. Rev. X 5 011012
[27] Yi C R, Zhang L, Zhang L, Jiao R H, Cheng X C, Wang Z Y, Xu X T, Sun W, Liu X J, Chen S and Pan J W 2019 Phys. Rev. Lett. 123 190603
[28] Holthaus M 2015 J. Phys. B: Atom. Mol. Opt. Phys. 49 013001

[1]	Topological phase transition in compressed van der Waals superlattice heterostructure BiTeCl/HfTe₂ Zhilei Li(李志磊), Yinxiang Li(李殷翔), Yiting Wang(王奕婷), Wenzhi Chen(陈文执), and Bin Chen(陈斌). Chin. Phys. B, 2024, 33(8): 087102.
[2]	Two-dimensional Sb net generated nontrivial topological states in SmAgSb₂ probed by quantum oscillations Jian Yuan(袁健), Xian-Biao Shi(石贤彪), Hong Du(杜红), Tian Li(李田), Chuan-Ying Xi(郗传英), Xia Wang(王霞), Wei Xia(夏威), Bao-Tian Wang(王保田), Rui-Dan Zhong(钟瑞丹), and Yan-Feng Guo(郭艳峰). Chin. Phys. B, 2024, 33(7): 077102.
[3]	Emergent topological ordered phase for the Ising-XY model revealed by cluster-updating Monte Carlo method Heyang Ma(马赫阳), Wanzhou Zhang(张万舟), Yanting Tian(田彦婷), Chengxiang Ding(丁成祥), and Youjin Deng(邓友金). Chin. Phys. B, 2024, 33(4): 040503.
[4]	Building and characterizing a stylus ion-trap system Tai-Hao Cui(崔太豪), Ya-Qi Wei(魏雅琪), Ji Li(李冀), Quan Yuan(袁泉), Shuang-Qing Dai(戴双晴), Pei-Dong Li(李沛东), Fei Zhou(周飞), Jian-Qi Zhang(张建奇), Zhu-Jun Zheng(郑驻军), Liang Chen(陈亮), and Mang Feng(冯芒). Chin. Phys. B, 2024, 33(4): 043701.
[5]	Spin direction dependent quantum anomalous Hall effect in two-dimensional ferromagnetic materials Yu-Xian Yang(杨宇贤) and Chang-Wen Zhang(张昌文). Chin. Phys. B, 2024, 33(4): 047101.
[6]	Topological edge and corner states of valley photonic crystals with zipper-like boundary conditions Yun-Feng Shen(沈云峰), Xiao-Fang Xu(许孝芳), Ming Sun(孙铭), Wen-Ji Zhou(周文佶), and Ya-Jing Chang(常雅箐). Chin. Phys. B, 2024, 33(4): 044203.
[7]	Interacting topological magnons in a checkerboard ferromagnet Heng Zhu(朱恒), Hongchao Shi(施洪潮), Zhengguo Tang(唐政国), and Bing Tang(唐炳). Chin. Phys. B, 2024, 33(3): 037503.
[8]	Theoretical investigations of population trapping phenomena in atomic four-color, three-step photoionization scheme Xiao-Yong Lu(卢肖勇) and Ya-Peng Sun(孙亚鹏). Chin. Phys. B, 2024, 33(3): 033202.
[9]	Design of sign-reversible Berry phase effect in 2D magneto-valley material Yue-Tong Han(韩曰通), Yu-Xian Yang(杨宇贤), Ping Li(李萍), and Chang-Wen Zhang(张昌文). Chin. Phys. B, 2023, 32(9): 097101.
[10]	Low-temperature ferromagnetism in tensile-strained LaCoO_2.5 thin film Yang-Yang Fan(范洋洋), Jing Wang(王晶), Feng-Xia Hu(胡凤霞), Bao-He Li(李宝河), Ai-Cong Geng(耿爱丛), Zhuo Yin(殷卓), Cheng Zhang(张丞), Hou-Bo Zhou(周厚博), Meng-Qin Wang(王梦琴), Zi-Bing Yu(尉紫冰), and Bao-Gen Shen(沈保根). Chin. Phys. B, 2023, 32(8): 087504.
[11]	Topological properties of tetratomic Su-Schrieffer-Heeger chains with hierarchical long-range hopping Guan-Qiang Li(李冠强), Bo-Han Wang(王博涵), Jing-Yu Tang(唐劲羽), Ping Peng(彭娉), and Liang-Wei Dong(董亮伟). Chin. Phys. B, 2023, 32(7): 077102.
[12]	A cryogenic radio-frequency ion trap for a ⁴⁰Ca⁺ optical clock Mengyan Zeng(曾孟彦), Yao Huang(黄垚), Baolin Zhang(张宝林), Zixiao Ma(马子晓), Yanmei Hao(郝艳梅), Ruming Hu(胡如明), Huaqing Zhang(张华青), Hua Guan(管桦), and Kelin Gao(高克林). Chin. Phys. B, 2023, 32(11): 113701.
[13]	Lifetime measurement of the 3d⁹ ²D_3/2 metastable level in Mo¹⁵⁺ at an electron beam ion trap Jialin Liu(刘佳林), Yintao Wang(王银涛), Bingsheng Tu(屠秉晟), Liangyu Huang(黄良玉), Ran Si(司然), Jiguang Li(李冀光), Mingwu Zhang(张明武), Yunqing Fu(傅云清), Yaming Zou(邹亚明), and Ke Yao(姚科). Chin. Phys. B, 2023, 32(10): 103201.
[14]	Characterization of topological phase of superlattices in superconducting circuits Jianfei Chen(陈健菲), Chaohua Wu(吴超华), Jingtao Fan(樊景涛), and Gang Chen(陈刚). Chin. Phys. B, 2022, 31(8): 088501.
[15]	Hard-core Hall tube in superconducting circuits Xin Guan(关欣), Gang Chen(陈刚), Jing Pan(潘婧), and Zhi-Guo Gui(桂志国). Chin. Phys. B, 2022, 31(8): 080302.

[1]	ZHOU HAI-JUN (周海军), XU XIANG-YUAN (许祥源), HUANG WEN (黄雯), LI LIANG-QUAN (李良权), CHEN DIE-YAN (陈瓞延). STUDY OF HIGH-LYING EXCITED STATES OF RARE-EARTH ELEMENT Dy BY LASER RESONANCE IONIZATION SPECTROSCOPY[J]. Acta Physica Sinica (Overseas Edition), 1992, 1(1): 19 -26 .
[2]	LIANG ZHONG-CHENG (梁忠诚). INTERFACE STRESS, TENSION AND FREE ENERGY DENSITY OF CONDENSED MATTER[J]. Acta Physica Sinica (Overseas Edition), 1992, 1(2): 104 -112 .
[3]	JIN YING (金鹰), ZHANG SHU-LIN (张树霖), QIN GUO-GANG (秦国刚), FAN YONG-LIANG (樊永良), ZHOU GOU-LIANG (周国良), YU MING-REN (俞鸣人). RAMAN SCATTERING INTENSITIES OF FOLDED LONGITUDINAL ACOUSTIC PHONONS IN Ge_xSi_1-x/Si SUPERLATTICES[J]. Acta Physica Sinica (Overseas Edition), 1992, 1(2): 130 -137 .
[4]	WANG JIAN (王坚), WU XING-FANG (吴杏芳), FANG ZHENG-ZHI (方正知). DIFFUSIVE AGGREGATION ON ION IMPLANTED THIN FILMS[J]. Acta Physica Sinica (Overseas Edition), 1992, 1(2): 81 -85 .
[5]	PENG WEN-JI (彭文基), LI QING-XING (李庆行), YU ZHEN-XIN (余振新), AN NING (安宁), XU MAI (徐迈). STUDIES ON THE DYNAMICS OF OPTICAL BISTABILITY SWITCHING IN THE INTERNAL FABRY-PEROT CAVITY WITH A CdS_xSe_1-x-DOPED GLASS CHANNEL WAVEGUIDE[J]. Acta Physica Sinica (Overseas Edition), 1992, 1(3): 183 -190 .
[6]	LI YI-JIE (李贻杰), XIONG GUANG-CHENG (熊光成), GAN ZI-ZHAO (甘子钊), REN CONG-XIN (任琮欣), CHEN GUO-LIANG (陈国梁), ZOU SHI-CHANG (邹世昌). SUPERCONDUCTING PROPERTIES AND STRUCTURAL PERFECTION OF EPITAXIAL YBa₂Cu₃O_7-x THIN FILMS[J]. Acta Physica Sinica (Overseas Edition), 1992, 1(3): 211 -218 .
[7]	YE HONG-JUAN (叶红娟), HUANG YE-XIAO (黄叶肖), FU ROU-LI (傅柔励), LU XIAO-FENG (陆晓峰), SHI GUO-LIANG (史国良), CAI PEI-XIN (蔡培新), GU WEI-FANG (顾为芳), RAN ZHONG-YUAN (冉中原), LIU JING-QING (刘竞青), ZHAO ZHONG-XIAN (赵忠贤), YANG BING-CHUAN (杨秉川), YAN SHAO-LIN (阎少林). THE SCREENING EFFECT OF PHONON MODES IN HIGH-T_c OXIDE SUPERCONDUCTOR[J]. Acta Physica Sinica (Overseas Edition), 1993, 2(10): 754 -763 .
[8]	LIU JUN-MING (刘俊明), LIU ZHI-GUO (刘治国), WU ZHUANG-CHUN (吴状春). SCALING LAW FOR CBr₄-C₂Cl₆ LAMELLAR EUTECTIC IN DIRECTIONAL SOLIDIFICATION[J]. Acta Physica Sinica (Overseas Edition), 1993, 2(10): 782 -790 .
[9]	FENG YONG (冯勇), ZHOU LIAN (周廉), WANG KE-GUANG (王克光), DU MING-HUAN (杜明焕), ZHANG YU-HENG (张裕恒), LU YA-FENG (卢亚锋), JIN XIN (金新), ZHANG YI-TONG (张贻瞳), JIN JI-RONG (金继荣), YAO XI-XIAN (姚希贤). CRITICAL CURRENT DENSITY OF Y-Ba-Cu-Sn-O SUPERCONDUCTORS[J]. Acta Physica Sinica (Overseas Edition), 1993, 2(11): 857 -862 .
[10]	TANG GUI-DE (唐贵德), NIE XIANG-FU (聂向富), SUN HUI-YUAN (孙会元), MENG GUANG-QING (孟广庆), HAN BAO-SHAN (韩宝善). ANNIHILATION OF VERTICAL-BLOCH-LINE CHAINS IN THE WALLS OF THE SECOND KIND OF DUMBBELL DOMAINS SUBJECTED TO AN IN-PLANE FIELD[J]. Acta Physica Sinica (Overseas Edition), 1993, 2(11): 863 -869 .

Viewed

Full text

Abstract

Cited

Metrics
Related Articles

New approach to measuring topological phase transitions utilizing Floquet technology

Cite this article:

Online attention