|
|
|
Interplay between topology and localization on superconducting circuits |
| Xin Guan(关欣)1,†, Bingyan Huo(霍炳燕)1, and Gang Chen(陈刚)2,3,4 |
1 Department of Materials and Chemical Engineering, Taiyuan University, Taiyuan 030032, China;
2 State Key Laboratory of Quantum Optics and Quantum Optics Devices, Institute of Laser Spectroscopy, Shanxi University, Taiyuan 030006, China;
3 Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan 030006, China;
4 School of Physics, Zhengzhou University, Zhengzhou 450001, China |
|
|
|
|
Abstract Topological insulators occupy a prominent position in the realm of condensed matter physics. Nevertheless, the presence of strong disorder has the potential to disrupt the integrity of topological states, leading to the localization of all states. This study delves into the intricate interplay between topology and localization within the one-dimensional Su-Schrieffer-Heeger (SSH) model, which incorporates controllable off-diagonal quasi-periodic modulations on superconducting circuits. Through the application of external alternating current (ac) magnetic fluxes, each transmon undergoes controlled driving, enabling independent tuning of all coupling strengths. Within a framework of this model, we construct comprehensive phase diagrams delineating regions characterized by extended topologically nontrivial states, critical localization, and co-existing topological and critical localization phases. The paper also addresses the dynamics of qubit excitations, elucidating distinct quantum state transfers resulting from the intricate interplay between topology and localization. Additionally, we propose a method for detecting diverse quantum phases utilizing existing experimental setups.
|
Received: 22 December 2023
Revised: 09 March 2024
Accepted manuscript online: 15 March 2024
|
|
PACS:
|
03.67.Ac
|
(Quantum algorithms, protocols, and simulations)
|
| |
73.43.-f
|
(Quantum Hall effects)
|
| |
85.25.Cp
|
(Josephson devices)
|
| |
71.10.-w
|
(Theories and models of many-electron systems)
|
|
| Fund: Project supported by the Natural Science Foundation of Shanxi Province, China (Grant No. 202103021223010). |
Corresponding Authors:
Xin Guan
E-mail: guanxin810712@163.com
|
Cite this article:
Xin Guan(关欣), Bingyan Huo(霍炳燕), and Gang Chen(陈刚) Interplay between topology and localization on superconducting circuits 2024 Chin. Phys. B 33 060311
|
[1] Buluta I, Ashhab S and Nori F 2011 Rep. Phys. 74 104401
[2] Gong M, Wang S, Zha C, Chen M C, Huang H L, Wu Y, Zhu Q, Zhao Y, Li S, Guo S, Haoran Q, Yangsen Y, Fusheng C, Chong Y, Jiale Y, Daojin F, Dachao W, Hong S, Hui D, Hao R, Kaili Z, Sirui C, Lin J, Xu Y, Sun L, Guo C, Li N, Liang F, Bastidas V M, Kae N, Munro W J, Huo Y H, Lu C Y, Peng C Z, Zhu X and Pan J W 2021 Science 372 948
[3] Wendin G 2017 Rep. Phys. 80 106001
[4] Blais A, Girvin S M and Oliver W D 2020 Nat. Phys. 16 247
[5] Georgescu I M, Ashhab S and Nori F 2014 Rev. Mod. Phys. 86 153
[6] Zhang X, Kim E, Mark D K, Choi S and Painter O 2023 Science 379 278
[7] Ying C, Cheng B, Zhao Y, Huang H L, Zhang Y N, Gong M, Wu Y, Wang S, Liang F, Lin J, Yu X, Hui D, Hao R, Cheng Zh P, Man H Y, Xiao B Z and Pan J W 2023 Phys. Rev. Lett. 130 110601
[8] Wang D W, Song C, Feng W, Cai H, Xu D, Deng H, Li H, Zheng D, Zhu X, Wang H, Zhu S Y and Scully O 2019 Nat. Phys. 15 382
[9] Tan X, Zhang D W, Liu Q, Xue G, Yu H F, Zhu Y Q, Yan H, Zhu S L and Yu Y 2018 Phys. Rev. Lett. 120 130503
[10] Tan X, Zhao Y, Liu Q, Xue G, Yu H F, Wang Z and Yu Y 2019 Phys. Rev. Lett. 122 010501
[11] Yan Z, Zhang Y R, Gong M, Wu Y, Zheng Y, Li S, Wang C, Liang F, Lin J, Xu Y, Guo C, Sun L, Peng Z C, Xia K, Deng H, Rong H, You Q, Nori J F, Fan H, Zhu X and Pan J W 2019 Science 364 753
[12] Kaur K, Sépulcre T, Roch N, Snyman I, Florens S and Bera S 2021 Phys. Rev. Lett. 127 237702
[13] Dborin J, Wimalaweera V, Barratt F, Ostby E, O’Brien T E and Green A G 2022 Nat. Commun. 13 5977
[14] Li X, Ma Y, Han J, Chen T, Xu Y, Cai W, Wang H, Song Y, Xue Z Y, Yin Z Q and Sun L 2018 Phys. Rev. Appl. 10 054009
[15] Cai W, Han J, Mei F, Xu Y, Ma Y, Li X, Wang H, Song Y, Xue Z Y, Yin Z Q, Jia S and Sun L 2019 Phys. Rev. Lett. 123 080501
[16] Hasan M Z and Kane C L 2010 Rev. Mod. Phys. 82 3045
[17] Qi X L and Zhang S C 2011 Rev. Mod. Phys. 83 1057
[18] Khanikaev A B, Mousavi S H, Tse W K, Kargarian M, MacDonald A H and Shvets G 2013 Nat. Mater. 12 233
[19] Rechtsman M C, Zeuner J M, Plotnik Y, Lumer Y, Podolsky D, Dreisow F, Nolte S, Segev M and Szameit A 2013 Nature 496 196
[20] Maciejko J and Fiete G A 2015 Nat. Phys. 11 385
[21] Rachel S 2018 Rep. Phys. 81 116501
[22] Schindler F, Cook A M, Vergniory M G, Wang Z, Parkin S S, Bernevig B A and Neupert T 2018 Sci. Adv. 4 eaat0346
[23] Tokura Y, Yasuda K and Tsukazaki A 2019 Nat. Rev. Phys. 1 126
[24] Rudner M S and Lindner N H 2020 Nat. Rev. Phys. 2 229
[25] Biesenthal T, Maczewsky L J, Yang Z, Kremer M, Segev M, Szameit A and Heinrich M 2022 Science 376 1114
[26] Li J, Chu R L, Jain J K and Shen S Q 2009 Phys. Rev. Lett. 102 136806
[27] Groth C, Wimmer M, Akhmerov A, Tworzyd lo J and Beenakker C 2009 Phys. Rev. Lett. 103 196805
[28] Guo H M, Rosenberg G, Refael G and Franz M 2010 Phys. Rev. Lett. 105 216601
[29] Stützer S, Plotnik Y, Lumer Y, Titum P, Lindner N H, Segev M, Rechtsman M C and Szameit A 2018 Nature 560 461
[30] Meier E J, An F A, Dauphin A, Maffei M, Massignan P, Hughes T L and Gadway B 2018 Science 362 929
[31] Zhang W, Zou D, Pei Q, He W, Bao J, Sun H and Zhang X 2011 Phys. Rev. Lett. 126 146802
[32] Sokoloff J 1985 Phys. Rep. 126 189
[33] Thouless D 1988 Phys. Rev. Lett. 61 2141
[34] Roushan P, Neill C, Tangpanitanon J, Bastidas V M, Megrant A, Barends R, Chen Y, Chen Z, Chiaro B, Dunsworth A, Fowler A, Foxen B, Giustina M, Jeffrey E, Kelly J, Lucero E, Mutus J, Neeley M, Quintana C, Sank D, Vainsencher A, Wenner J, White T, Neven H, Angelakis G and Martinis D J 2017 Science 358 1175
[35] An F A, Padavić K, Meier E J, Hegde S, Ganeshan S, Pixley J, Vishveshwara S and Gadway B 2021 Phys. Rev. Lett. 126 040603
[36] Su W, Schrieffer J and Heeger A J 1979 Phys. Rev. Lett. 42 1698
[37] Marchand D, Filippis G D, Cataudella V, Berciu M, Nagaosa N, Prokof’Ev N, Mishchenko A and Stamp P 2010 Phys. Rev. Lett. 105 266605
[38] Meier E J, An F A and Gadway B 2016 Nat. Commun. 7 13986
[39] Xing B, Chiu W T, Poletti D, Scalettar R T and Batrouni G 2021 Phys. Rev. Lett. 126 017601
[40] Kiczynski M, Gorman S, Geng H, Donnelly M, Chung Y, He Y, Keizer J and Simmons M 2022 Nature 606 694
[41] Youssefi A, Kono S, Bancora A, Chegnizadeh M, Pan J, Vovk T and Kippenberg T J 2022 Nature 612 666
[42] Wang Z, Wang X, Hu Z, Bongiovanni D, Jukic D, Tang L, Song D, Morandotti R, Chen Z and Buljan H 2023 Nat. Phys. 19 992
[43] Koch J, Terri M Y, Gambetta J, Houck A A, Schuster D I, Majer J, Blais A, Devoret M H, Girvin S M and Schoelkopf R J 2007 Phys. Rev. A 76 042319
[44] Ye Y, Ge Z Y, Wu Y, Wang S, Gong M, Zhang Y R, Zhu Q, Yang R, Li S, Liang F, Lin J, Xu Y, Guo C, Sun L, Cheng C, Ma N, Meng Z Y, Deng H, Rong H, Lu C Y, Peng C Z, Fan H, Zhu X and Pan J W 2019 Phys. Rev. Lett. 123 050502
[45] Mondragon S I, Hughes T L, Song J and Prodan E 2014 Phys. Rev. Lett. 113 046802
[46] Thouless D J 1983 Phys. Rev. B 28 4272
[47] Chang I, Ikezawa K and Kohmoto M 1997 Phys. Rev. B 55 12971
[48] Liu F, Ghosh S and Chong Y D 2015 Phys. Rev. B 91 014108
[49] Wang Y, Cheng C, Liu X J and Yu D 2021 Phys. Rev. Lett. 126 080602
[50] Meier E J, An F A and Gadway B 2016 Nat. Commun. 7 13986
[51] Cardano F, D’Errico A, Dauphin A, Maffei M, Piccirillo B, Lisio D C, Filippis G D, Cataudella V, Santamato E, Marrucci L, Lewenstein M and Massignan P 2017 Nat. Commun. 8 15516 |
| No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|
