Effective dynamics and quantum state engineering by periodic kicks
Zhi-Cheng Shi(施志成)1,2, Zhen Chen(陈阵)1,2, Jian-Hui Wang(王建辉)1,2, Yan Xia(夏岩)1,2,†, and X X Yi(衣学喜)3,‡
1 Fujian Key Laboratory of Quantum Information and Quantum Optics(Fuzhou University), Fuzhou 350108, China; 2 Department of Physics, Fuzhou University, Fuzhou 350108, China; 3 Center for Quantum Sciences and School of Physics, Northeast Normal University, Changchun 130024, China
Abstract We study the kick dynamics of periodically driven quantum systems, and provide a time-independent effective Hamiltonian with the analytical form to reasonably describe the effective dynamics in a long timescale. It is shown that the effective coupling strength can be much larger than the coupling strength of the original system in some parameter regions, which stems from the zero time duration of kicks. Furthermore, different regimes can be transformed from and to each other in the same three-level system by only modulating the period of periodic kicks. In particular, the population of excited states can be selectively suppressed in periodic kicks, benefiting from the large detuning regime of the original system. Finally, some applications and physical implementation of periodic kicks are demonstrated in quantum systems. These unique features would make periodic kicks become a powerful tool for quantum state engineering.
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11805036, 12175033, and 12147206), the Natural Science Foundation of Fujian Province, China (Grant No. 2021J01575), the Natural Science Funds for Distinguished Young Scholar of Fujian Province, China (Grant No. 2020J06011), and the Project from Fuzhou University (Grant No. JG202001-2).
Corresponding Authors:
Yan Xia, X X Yi
E-mail: xia-208@163.com;yixx@nenu.edu.cn
Cite this article:
Zhi-Cheng Shi(施志成), Zhen Chen(陈阵), Jian-Hui Wang(王建辉), Yan Xia(夏岩), and X X Yi(衣学喜) Effective dynamics and quantum state engineering by periodic kicks 2023 Chin. Phys. B 32 044210
[1] Shirley J H 1965 Phys. Rev.138 B979 [2] Sambe H 1973 Phys. Rev. A7 2203 [3] Grossmann F, Dittrich T, Jung P and Hänggi P 1991 Phys. Rev. Lett.67 516 [4] Grifoni M and Hänggi P 1998 Phys. Rep.304 229 [5] Sacha K 2015 Phys. Rev. A91 033617 [6] Khemani V, Lazarides A, Moessner R and Sondhi S L 2016 Phys. Rev. Lett.116 250401 [7] Else D V, Bauer B and Nayak C 2016 Phys. Rev. Lett.117 090402 [8] Wilczek F 2012 Phys. Rev. Lett.109 160401 [9] Sacha K and Zakrzewski J 2017 Rep. Prog. Phys. 81 016401 [10] Horstmann B, Cirac J I and Roscilde T 2007 Phys. Rev. A76 043625 [11] Hegde S S, Katiyar H, Mahesh T S and Das A 2014 Phys. Rev. B90 174407 [12] Nag T, Sen D and Dutta A 2015 Phys. Rev. A91 063607 [13] Bukov M, D'Alessio L and Polkovnikov A 2015 Adv. Phys.64 139 [14] Luitz D J, Lazarides A and Bar Lev Y 2018 Phys. Rev. B97 020303 [15] Dai C M, Wang W and Yi X X 2018 Phys. Rev. A98 013635 [16] Choi S, Abanin D A and Lukin M D 2018 Phys. Rev. B97 100301 [17] Eckardt A, Weiss C and Holthaus M 2005 Phys. Rev. Lett.95 260404 [18] Sordi G, Amaricci A and Rozenberg M J 2007 Phys. Rev. Lett.99 196403 [19] Fu B, Zheng H, Li Q, Shi Q and Yang J 2014 Phys. Rev. B90 214502 [20] Eckardt A 2017 Rev. Mod. Phys.89 011004 [21] Nie W, Antezza M, Liu Y and Nori F 2021 Phys. Rev. Lett.127 250402 [22] Bhargava B A, Das S K and Fulga I C 2022 Phys. Rev. B105 054205 [23] Gagnon D, Fillion-Gourdeau F, Dumont J, Lefebvre C and MacLean S 2017 Phys. Rev. Lett.119 053203 [24] Zenesini A, Lignier H, Ciampini D, Morsch O and Arimondo E 2009 Phys. Rev. Lett.102 100403 [25] Creffield C E and Platero G 2010 Phys. Rev. Lett.105 086804 [26] Strauch F W 2012 Phys. Rev. Lett.109 210501 [27] Navarrete-Benlloch C, García-Ripoll J J and Porras D 2014 Phys. Rev. Lett.113 193601 [28] Chen C, An J H, Luo H G, Sun C P and Oh C H 2015 Phys. Rev. A91 052122 [29] Aharon N, Schwartz I and Retzker A 2019 Phys. Rev. Lett.122 120403 [30] Creffield C E 2007 Phys. Rev. Lett.99 110501 [31] Li J, Chalapat K and Paraoanu G S 2008 Phys. Rev. B78 064503 [32] Li J and Paraoanu G S 2009 New J. Phys.11 113020 [33] Shi Z C, Ran D, Shen L T, Xia Y and Yi X X 2018 Opt. Express26 34789 [34] Shi Z C, Chen Y H, Qin W, Xia Y, Yi X X, Zheng S B and Nori F 2021 Phys. Rev. A104 053101 [35] Paraoanu G S 2006 Phys. Rev. B74 140504 [36] Song Y, Kestner J P, Wang X and Das Sarma S 2016 Phys. Rev. A94 012321 [37] Yang Y C, Coppersmith S N and Friesen M 2019 Phys. Rev. A100 022337 [38] Shi Z C, Zhang C, Shen L T, Xia Y, Yi X X and Zheng S B 2020 Phys. Rev. A101 042314 [39] Wu J L, Wang Y, Han J X, Su S L, Xia Y, Jiang Y and Song J 2021 Phys. Rev. A103 012601 [40] Morinaga M, Bouchoule I, Karam J C and Salomon C 1999 Phys. Rev. Lett.83 4037 [41] Persson E, Yoshida S, Tong X M, Reinhold C O and Burgdörfer J 2003 Phys. Rev. A68 063406 [42] Carvalho A R R and Buchleitner A 2004 Phys. Rev. Lett.93 204101 [43] Ryu C, Andersen M F, Vaziri A, D'Arcy M B, Grossman J M, Helmerson K and Phillips W D 2006 Phys. Rev. Lett.96 160403 [44] Talukdar I, Shrestha R and Summy G S 2010 Phys. Rev. Lett.105 054103 [45] Wang X Q, Ma J, Zhang X H and Wang X G 2011 Chin. Phys. B20 050510 [46] Bandyopadhyay J N and Guha Sarkar T 2015 Phys. Rev. E91 032923 [47] Yu W C, Tangpanitanon J, Glaetzle A W, Jaksch D and Angelakis D G 2019 Phys. Rev. A99 033618 [48] Wang Y, Gao Y and Tong P 2018 Chin. Phys. B27 120503 [49] Yu H, Ren Z and Zhang X 2019 Chin. Phys. B28 020504 [50] Fava M, Fazio R and Russomanno A 2020 Phys. Rev. B101 064302 [51] Kovachy T, Hogan J M, Sugarbaker A, Dickerson S M, Donnelly C A, Overstreet C and Kasevich M A 2015 Phys. Rev. Lett.114 143004 [52] Müntinga H, Ahlers H, Krutzik M, et al. 2013 Phys. Rev. Lett.110 093602 [53] Corgier R, Loriani S, Ahlers H, Posso-Trujillo K, Schubert C, Rasel E M, Charron E and Gaaloul N 2020 New J. Phys.22 123008 [54] Dupays L, Spierings D C, Steinberg A M and del Campo A 2021 Phys. Rev. Res.3 033261 [55] Deppner C, Herr W, Cornelius M, Stromberger P, Sternke T, Grzeschik C, Grote A, Rudolph J, Herrmann S, Krutzik M, Wenzlawski A, Corgier R, Charron E, Guéry-Odelin D, Gaaloul N, Lämmerzahl C, Peters A, Windpassinger P and Rasel E M 2021 Phys. Rev. Lett.127 100401 [56] Corgier R, Gaaloul N, Smerzi A and Pezzé L 2021 Phys. Rev. Lett.127 183401 [57] Agarwala A and Sen D 2017 Phys. Rev. B95 014305 [58] Agarwala A and Sen D 2017 Phys. Rev. B96 104309 [59] Muñoz-Arias M H, Poggi P M and Deutsch I H 2021 Phys. Rev. E103 052212 [60] Muñoz Arias M H, Chinni K and Poggi P M 2022 Phys. Rev. Research4 023018 [61] Ghosh S and Liew T C H 2019 Phys. Rev. Lett.123 013602 [62] Bason M G, Viteau M, Malossi N, Huillery P, Arimondo E, Ciampini D, Fazio R, Giovannetti V, Mannella R and Morsch O 2011 Nat. Phys.8 147 [63] Gagnon D, Fillion-Gourdeau F, Dumont J, Lefebvre C and MacLean S 2016 Phys. Rev. B93 205415 [64] Fillion-Gourdeau F, Gagnon D, Lefebvre C and MacLean S 2016 Phys. Rev. B94 125423 [65] Gagnon D, Fillion-Gourdeau F, Dumont J, Lefebvre C and MacLean S 2016 J. Phys.-Condens. Matter29 035501 [66] Scully M O and Zubairy M S 1997 Quantum Optics (Cambridge: Cambridge University Press) [67] Chu S I and Telnov D A 2004 Phys. Rep.390 1 [68] Son S K, Han S and Chu S I 2009 Phys. Rev. A79 032301 [69] Pan J, Jooya H Z, Sun G, Fan Y, Wu P, Telnov D A, Chu S I and Han S 2017 Phys. Rev. B96 174518 [70] Zhao S K, Ge Z Y, Xiang Z C, Xue G M, Yan H S, Wang Z T, Wang Z, Xu H K, Su F F, Yang Z H, Zhang H, Zhang Y R, Guo X Y, Xu K, Tian Y, Yu H F, Zheng D N, Fan H and Zhao S P 2022 Chin. Phys. B31 030307 [71] Shevchenko S N, Ashhab S and Nori F 2010 Phys. Rep.492 1 [72] Eckardt A and Anisimovas E 2015 New J. Phys.17 093039 [73] Silveri M P, Kumar K S, Tuorila J, Li J, Vepsäläinen A, Thuneberg E V and Paraoanu G S 2015 New J. Phys.17 043058 [74] Zhao D, Jiang C W and Li F L 2015 Chin. Phys. B24 074205 [75] Kenmoe M B and Fai L C 2016 Phys. Rev. B94 125101 [76] Rodionov Y I, Kugel K I and Nori F 2016 Phys. Rev. B94 195108 [77] Qu J X, Duan S Q and Yang N 2017 Chin. Phys. B26 127308 [78] Wang B, Ünal F N and Eckardt A 2018 Phys. Rev. Lett.120 243602 [79] Liu H, Xiong T S, Zhang W and An J H 2019 Phys. Rev. A100 023622 [80] Casanova J, Torrontegui E, Plenio M B, García-Ripoll J J and Solano E 2019 Phys. Rev. Lett.122 010407 [81] Yang W L, Song W L, An J H, Feng M, Suter D and Du J 2019 New J. Phys.21 013007 [82] Zhao Y Y, Zhao D, Jiang C W, Fang A P, Gao S Y and Li F L 2020 Chin. Phys. B29 023201 [83] Han Y, Luo X Q, Li T F and Zhang W 2020 Phys. Rev. A101 022108 [84] Rahav S, Gilary I and Fishman S 2003 Phys. Rev. A68 013820 [85] Goldman N and Dalibard J 2014 Phys. Rev. X 4 031027 [86] Wang Y F, Yin H H, Yang M Y, Ji A C and Sun Q 2021 Chin. Phys. B30 064204 [87] Ashhab S, Johansson J R, Zagoskin A M and Nori F 2007 Phys. Rev. A75 063414 [88] Silveri M P, Tuorila J A, Thuneberg E V and Paraoanu G S 2017 Rep. Prog. Phys.80 056002 [89] Lambert N, Cirio M, Delbecq M, Allison G, Marx M, Tarucha S and Nori F 2018 Phys. Rev. B97 125429 [90] Shevchenko S N, Ryzhov A I and Nori F 2018 Phys. Rev. B98 195434 [91] Basak S, Chougale Y and Nath R 2018 Phys. Rev. Lett.120 123204 [92] Eastham M S P 1973 The Spectral Theory of Periodic Differential Equations (Scottish Academic) [93] Xiang Z L, Ashhab S, You J Q and Nori F 2013 Rev. Mod. Phys.85 623 [94] Leibfried D, Blatt R, Monroe C and Wineland D 2003 Rev. Mod. Phys.75 281 [95] Barredo D, Labuhn H, Ravets S, Lahaye T, Browaeys A and Adams C S 2015 Phys. Rev. Lett.114 113002 [96] Chen B and Li Y 2016 Sci. China-Phys. Mech. Astron.59 640302 [97] Li D X and Shao X Q 2018 Phys. Rev. A98 062338 [98] Shi Z C, Zhang C, Ran D, Xia Y, Ianconescu R, Friedman A, Yi X X and Zheng S B 2022 New J. Phys.24 023014 [99] Li R, Yu D, Su S L and Qian J 2020 Phys. Rev. A101 042328
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