Chin. Phys. Lett.  2013, Vol. 30 Issue (11): 110501    DOI: 10.1088/0256-307X/30/11/110501
GENERAL |
Enhancement of Localization in a Driven Four-Well System with Second-Order Coupling
LI Li-Ping1,3, LUO Xiao-Bing2,3**, HU Qiang-Lin2, YU Xiao-Guang2
1Information Engineer School, Huanghe Science and Technology College, Zhengzhou 450006
2Department of Physics, Jinggangshan University, Ji'an 343009
3Department of Physics, Tsinghua University, Beijing 100084
Cite this article:   
LI Li-Ping, LUO Xiao-Bing, HU Qiang-Lin et al  2013 Chin. Phys. Lett. 30 110501
Download: PDF(545KB)  
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks
Abstract We study theoretically the effect of second-order coupling (SOC) on the tunneling dynamics in a planar four-well system with only one well periodically modulated. We find that SOC between next-nearest neighboring wells facilitates localization. Due to SOC, the suppression of tunneling occurs over a finite range of parameters, in stark contrast to the normal coherent destruction of tunneling in the nearest-neighbor tight-binding approximation. This counter-intuitive phenomenon of SOC-enhanced localization can be attributed to the existence of a localized Floquet state rather than the degeneracy of quasi-energy levels in such a system.
Received: 12 August 2013      Published: 30 November 2013
PACS:  05.60.Gg (Quantum transport)  
  42.82.Et (Waveguides, couplers, and arrays)  
  03.75.Lm (Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)  
  32.80.Qk (Coherent control of atomic interactions with photons)  
TRENDMD:   
URL:  
https://cpl.iphy.ac.cn/10.1088/0256-307X/30/11/110501       OR      https://cpl.iphy.ac.cn/Y2013/V30/I11/110501
Service
E-mail this article
E-mail Alert
RSS
Articles by authors
LI Li-Ping
LUO Xiao-Bing
HU Qiang-Lin
YU Xiao-Guang
[1] Grifoni M and H?nggi P 1998 Phys. Rep. 304 229
[2] Garanovich I L, Longhi S, Sukhorukov A A and Kivshar Y S 2012 Phys. Rep. 518 1
[3] Longhi S 2009 Laser Photon. Rev. 3 243
[4] Grossmann F, Dittrich T, Jung P and Hanggi P 1991 Phys. Rev. Lett. 67 516
Grossmann F, Dittrich T, Jung P and Hanggi P 1991 Z. Phys. B 84 315
[5] Della Valle G, Ornigotti M, Cianci E, Foglietti V, Laporta P and Longhi S 2007 Phys. Rev. Lett. 98 263601
[6] Kierig E, Schnorrberger U, Schietinger A, Tomkovic J and Oberthaler M K 2008 Phys. Rev. Lett. 100 190405
[7] Luo X, Xie Q and Wu B 2007 Phys. Rev. A 76 051802(R)
Luo X, Xie Q and Wu B 2008 Phys. Rev. A 77 053601
Luo X, Li L, You L and Wu B arXiv:1305.1197
[8] Eckardt A, Weiss C and Holthaus M 2005 Phys. Rev. Lett. 95 260404
[9] Sias C, Lignier H, Singh Y P, Zenesini A, Ciampini D, Morsch O and Arimondo E 2008 Phys. Rev. Lett. 100 040404
[10] Dunlap D H and Kenkre V M 1986 Phys. Rev. B 34 3625
[11] Longhi S, Marangoni M, Lobino M, Ramponi R, Laporta P, Cianci E and V Foglietti 2006 Phys. Rev. Lett. 96 243901
[12] Zhao X G 1994 J. Phys.: Condens. Matter 6 2751
[13] Dignam M M and de Sterke C M 2002 Phys. Rev. Lett. 88 046806
[14] Longhi S, Dreisow F, Heinrich M, Pertsch T, Tünnermann A, Nolte S and Szameit A 2010 Phys. Rev. A 82 053813
[15] Szameit A, Garanovich I L, Heinrich M, Sukhorukov A A, Dreisow F, Pertsch T, Nolte S, Tünnermann A, Longhi S and Kivshar Y S 2010 Phys. Rev. Lett. 104 223903
[16] Golshani M, Bahrampour A R, Langari A and Szameit A 2013 Phys. Rev. A 87 033817
[17] Wang C, Theocharis G, Kevrekidis P G, Whitaker N, Law K J H, Frantzeskakis D J and Malomed B A 2009 Phys. Rev. E 80 046611
[18] De Liberato S and Foot C J 2006 Phys. Rev. A 73 035602
[19] Lu G and Hai W 2011 Phys. Rev. A 83 053424
[20] Szameit A, Kartashov Y V, Dreisow F, Heinrich M, Pertsch T, Nolte S, Tünnermann A, Vysloukh V A, Lederer F and Torner L 2009 Phys. Rev. Lett. 102 153901
[21] Szameit A, Kartashov Y V, Heinrich M, Dreisow F, Keil R, Nolte S, Tünnermann A, Vysloukh V A, Lederer F and Torner L 2009 Opt. Lett. 34 2700
[22] Mingaleev S F, Christiansen P L, Gaididei Y B, Johansson M and K Rasmussen 1999 J. Biol. Phys. 25 41
[23] Hennig D 2001 Eur. Phys. J. B 20 419
[24] Luo X, Huang J and Lee C 2011 Phys. Rev. A 84 053847
Related articles from Frontiers Journals
[1] Hao-Hao Peng, Jun-Jie Zhang, Xin-Li Sheng, and Qun Wang. Ideal Spin Hydrodynamics from the Wigner Function Approach[J]. Chin. Phys. Lett., 2021, 38(11): 110501
[2] Chen Wang, Lu-Qin Wang, and Jie Ren. Managing Quantum Heat Transfer in a Nonequilibrium Qubit-Phonon Hybrid System with Coherent Phonon States[J]. Chin. Phys. Lett., 2021, 38(1): 110501
[3] Xiao-Lan Zong, Wei Song, Ming Yang, Zhuo-Liang Cao. Influence of Quantum Feedback Control on Excitation Energy Transfer *[J]. Chin. Phys. Lett., 0, (): 110501
[4] Xiao-Lan Zong, Wei Song, Ming Yang, Zhuo-Liang Cao. Influence of Quantum Feedback Control on Excitation Energy Transfer[J]. Chin. Phys. Lett., 2020, 37(6): 110501
[5] Ze-Long He, Qiang Li, Kong-Fa Chen, Ji-Yuan Bai, Sui-Hu Dang. Fano Effect and Anti-Resonance Band in a Parallel-Coupled Double Quantum Dot System with Two Multi-Quantum Dot Chains[J]. Chin. Phys. Lett., 2018, 35(9): 110501
[6] Ze-Long He, Ji-Yuan Bai, Shu-Jiang Ye, Li Li, Chun-Xia Li. Quantum Switch and Efficient Spin-Filter in a System Consisting of Multiple Three-Quantum-Dot Rings[J]. Chin. Phys. Lett., 2017, 34(8): 110501
[7] Ke-Jie Wang, Wei Wang, Min-Hao Zhang, Xiao-Qian Zhang, Pei Yang, Bo Liu, Ming Gao, Da-Wei Huang, Jun-Ran Zhang, Yu-Jie Liu, Xue-Feng Wang, Feng-Qiu Wang, Liang He, Yong-Bing Xu, Rong Zhang. Weak Anti-Localization and Quantum Oscillations in Topological Crystalline Insulator PbTe[J]. Chin. Phys. Lett., 2017, 34(2): 110501
[8] A. I. Arbab. Transport Properties of the Universal Quantum Equation[J]. Chin. Phys. Lett., 2012, 29(3): 110501
[9] S. Ali Shan, **, A. Mushtaq . Role of Jeans Instability in Multi-Component Quantum Plasmas in the Presence of Fermi Pressure[J]. Chin. Phys. Lett., 2011, 28(7): 110501
[10] LI Chun-Zhi, SONG Yuan-Hong, WANG You-Nian. Interactions of a Charged Particle with Parallel Two-Dimensional Quantum Electron Gases[J]. Chin. Phys. Lett., 2008, 25(8): 110501
[11] WEN Ling-Hua, , LIU Min, , KONG Ling-Bo, , ZHAN Ming-Sheng,. Incomplete Erasure of Which-Way Information Encoded in Atomic Hyperfine States[J]. Chin. Phys. Lett., 2005, 22(4): 110501
Viewed
Full text


Abstract