Please wait a minute...
Chin. Phys. B, 2020, Vol. 29(1): 010306    DOI: 10.1088/1674-1056/ab6087
GENERAL Prev   Next  

Collapses-revivals phenomena induced by weak magnetic flux in diamond chain

Na-Na Chang(常娜娜)1, Wen-Quan Jing(景文泉)2, Yu Zhang(张钰)1, Ai-Xia Zhang(张爱霞)2, Ju-Kui Xue(薛具奎)2, Su-Peng Kou(寇谡鹏)1
1 Department of Physics, Beijing Normal University, Beijing 100875, China;
2 College of Physics and Electronics Engineering, Northwest Normal University, Lanzhou 730070, China
Abstract  We investigate the quantum dynamical behaviors of bosons in a diamond chain with weak magnetic flux (WMF), including Landau-Zener tunnelling, Bloch oscillations, localization phenomenon, and collapses-revivals phenomena. We observed that collapses-revivals phenomena can occur in diamond chain with WMF and cannot exist in the strong magnetic flux case as the previous study (Chang N N and Xue J K, 2018, Chin. Phys. B 27 105203). Induced by WMF, the energy band for the system varies from gapless to gapped structure. The position of the extrema of probability amplitude for ground state can also be altered by WMF within a single diamond plaquette. As a consequence, the transitions between different dynamical behaviors of bosons in diamond chain can be manipulated by WMF, depending on its initial configurations.
Keywords:  collapses-revivals phenomena      Bloch oscillations      Landau-Zener tunneling      localization phenomenon      flat band  
Received:  19 August 2019      Revised:  13 November 2019      Accepted manuscript online: 
PACS:  03.75.Lm (Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)  
  05.30.Jp (Boson systems)  
  03.75.Mn (Multicomponent condensates; spinor condensates)  
  67.85.Hj (Bose-Einstein condensates in optical potentials)  
Fund: Project supported the National Natural Science Foundation of China (Grant Nos. 11974053, 11674026, 11274255, 11305132, and 11475027) and China Scholarship Council (CSC).
Corresponding Authors:  Na-Na Chang, Su-Peng Kou     E-mail:  nnchangqq@gmail.com;spkou@bnu.edu.cn

Cite this article: 

Na-Na Chang(常娜娜), Wen-Quan Jing(景文泉), Yu Zhang(张钰), Ai-Xia Zhang(张爱霞), Ju-Kui Xue(薛具奎), Su-Peng Kou(寇谡鹏) Collapses-revivals phenomena induced by weak magnetic flux in diamond chain 2020 Chin. Phys. B 29 010306

[1] Anderson M H, Matthews M R, Wieman C E and Cornell E A 1995 Science 269 198
[2] Schmitt J, Damn T, Dung D, Vewinger F, Klaers J and Weitz M 2014 Phys. Rev. Lett. 112 030401
[3] Trombettoni A and Smerzi A 2001 Phys. Rev. Lett. 86 2353
[4] Cazalilla M A, Citro R, Giamarchi T, Orignac E and Rigol M 2011 Rev. Mod. Phys. 83 1405
[5] Chang N N and Xue J K 2018 Chin. Phys. B 27 105203
[6] Khomeriki R and Flach S 2016 Phys. Rev. Lett. 116 245301
[7] Guláacsi Z, Kampf A and Vollhardt D 2007 Phys. Rev. Lett. 99 026404
[8] Mikeska H J and Luckmann C 2008 Phys. Rev. B 77 054405
[9] Kobayashi K, Okumura M, Yamada S, Machida M and Aoki H 2016 Phys. Rev. B 94 214501
[10] Dalibard J, Gerbier F, Juzeliunas G, et al. 2011 Rev. Mod. Phys. 83 1523
[11] Gerbier F and Dalibard J 2010 New J. Phys. 12 033007
[12] Zhang X, Yu Z F and Xue J K 2016 Chin. Phys. Lett. 33 40302
[13] Zhou W Y, Wu Y J and Kou S P 2018 Chin. Phys. B 27 050302
[14] Dodaro J F, Kivelson S A, Schattner Y, et al. 2018 Phys. Rev. B 98 075154
[15] Wang Y F, Gu Z C, Gong C D and Sheng D N 2011 Phys. Rev. Lett. 107 146803
[16] Wen J, Kargarian M, Vaezi A, et al. 2011 Phys. Rev. B 84 235149
[17] Du L, Chen Q, Barr A D, et al. 2018 Phys. Rev. B 98 245145
[18] Creffield C E, Pieplow G, Sols F, et al. 2016 New J. Phys. 18 093013
[19] Aidelsburger M, Atala M, Lohse M, Barreiro J T, Paredes B and Bloch I 2013 Phys. Rev. Lett. 111 185301
[20] Cartwright C, Chiara G D and Rizzi M 2018 Phys. Rev. B 98 184508
[21] Bouwmeester D, Dekker N H, Dorsselaer F E V, Schrama C A, Visser P M and Woerdman J P 1995 Phys. Rev. A 51 646
[22] Yan J Y, Duan S Q, Zhang W and Zhao X G 2009 Phys. Rev. A 79 053613
[23] Niu Q and Raizen M G 1998 Phys. Rev. Lett. 80 3491
[24] Loladze V and Khomeriki R 2017 Phys. Rev. E 95 042204
[25] Longhi S and Valle G D 2012 Phys. Rev. A 86 043633
[26] Flach S, Leykam D, Bodyfelt J D, Matthies P and Desyatnikov A S 2014 Europhys. Lett. 105 30001
[27] Huber S D and Altman E 2010 Phys. Rev. B 82 184502
[28] Aoki H, Ando M and Matsumura H 1996 Phys. Rev. B 54 17296
[29] Bilitewski T and Moessner R 2018 Phys. Rev. B 98 235109
[30] Chang N N, Yu Z F, Zhang A X and Xue J K 2017 Chin. Phys. B 26 115202
[31] Vicencio R A, Cantillano C, Inostroza L M, Real B, Cortés C M, Weimann S, Szameit A and Molina M I 2015 Phys. Rev. Lett. 114 245503
[32] Real B and Vicencio R A 2018 Phys. Rev. A 98 053845
[33] Kimura T, Tamura H, Shiraishi V and Takayanagi H 2002 Phys. Rev. B 65 081307
[34] Gligorić G, Maluckov A, Hadžievski Lj, Flach S and Malomed B A 2016 Phys. Rev. B 94 144302
[35] Johansson M, Naether U and Vicencio R A 2015 Phys. Rev. E 92 032912
[1] Wave function collapses and 1/n energy spectrum induced by a Coulomb potential in a one-dimensional flat band system
Yi-Cai Zhang(张义财). Chin. Phys. B, 2022, 31(5): 050311.
[2] Intrinsic V vacancy and large magnetoresistance in V1-δSb2 single crystal
Yong Zhang(张勇), Xinliang Huang(黄新亮), Jinglei Zhang(张警蕾), Wenshuai Gao(高文帅), Xiangde Zhu(朱相德), and Li Pi(皮雳). Chin. Phys. B, 2022, 31(3): 037102.
[3] Tunable bandgaps and flat bands in twisted bilayer biphenylene carbon
Ya-Bin Ma(马亚斌), Tao Ouyang(欧阳滔), Yuan-Ping Chen(陈元平), and Yue-E Xie(谢月娥). Chin. Phys. B, 2021, 30(7): 077103.
[4] Bilayer twisting as a mean to isolate connected flat bands in a kagome lattice through Wigner crystallization
Jing Wu(吴静), Yue-E Xie(谢月娥), Ming-Xing Chen(陈明星), Jia-Ren Yuan(袁加仁), Xiao-Hong Yan(颜晓红), Sheng-Bai Zhang(张绳百), and Yuan-Ping Chen(陈元平). Chin. Phys. B, 2021, 30(7): 077104.
[5] Superfluid states in α-T3 lattice
Yu-Rong Wu(吴玉容) and Yi-Cai Zhang(张义财). Chin. Phys. B, 2021, 30(6): 060306.
[6] Seeing Dirac electrons and heavy fermions in new boron nitride monolayers
Yu-Jiao Kang(康玉娇), Yuan-Ping Chen(陈元平), Jia-Ren Yuan(袁加仁), Xiao-Hong Yan(颜晓红), Yue-E Xie(谢月娥). Chin. Phys. B, 2020, 29(5): 057303.
[7] Surface Majorana flat bands in j=3/2 superconductors with singlet-quintet mixing
Jiabin Yu(于家斌), Chao-Xing Liu(刘朝星). Chin. Phys. B, 2020, 29(1): 017402.
[8] Unconventional chiral d-wave superconducting state in strained graphene
Feng Xu(徐峰), Lei Zhang(张磊). Chin. Phys. B, 2019, 28(11): 117403.
[9] Tunneling dynamics of bosons in the diamond lattice chain
Na-Na Chang(常娜娜), Ju-Kui Xue(薛具奎). Chin. Phys. B, 2018, 27(10): 105203.
[10] Numerical study on characteristic of two-dimensional metal/dielectric photonic crystals
Yi-Xin Zong(宗易昕), Jian-Bai Xia(夏建白), Hai-Bin Wu(武海斌). Chin. Phys. B, 2017, 26(4): 044208.
No Suggested Reading articles found!