Chin. Phys. Lett.  2008, Vol. 25 Issue (6): 1968-1971    DOI:
Articles |
Delocalization of Quantum Kicked Rotator with a Large Denominator
MA Tao1;LI Shu-Min 1,2
1Department of Modern Physics, University of Science and Technology of China, Hefei 2300262Institut fur Theoretische Physik, Univsitat Heidelberg, 69120 Heidelberg, Germany
Cite this article:   
MA Tao, LI Shu-Min 2008 Chin. Phys. Lett. 25 1968-1971
Download: PDF(238KB)  
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks
Abstract We use the iterative unitary matrix multiplication method to calculate the long-time behaviour of the resonant quantum kicked rotator with a large denominator. The delocalization time is an exponential function of the denominator. The wave function delocalizes through degenerate states. We also construct a nonresonant quantum kicked rotator with delocalization.
Keywords: 05.45.Mt     
Received: 06 January 2008      Published: 31 May 2008
PACS:  05.45.Mt (Quantum chaos; semiclassical methods)  
TRENDMD:   
URL:  
https://cpl.iphy.ac.cn/       OR      https://cpl.iphy.ac.cn/Y2008/V25/I6/01968
Service
E-mail this article
E-mail Alert
RSS
Articles by authors
MA Tao
LI Shu-Min
[1] Abliz A et al 2006 Phys. Rev. A 74 52105
[2] Ji A C, Xie X C, and Liu W M 2007 Phys. Rev. Lett. 99 183602
[3] St\"ockmann H J 1999 Quantum Chaos: An Introduction(Cambridge: Cambridge University Press)
[4] Casati G et al 1979 Stochastic behavior in classical andquantum hamiltonian systems in Lecture Notes in Physics ed CasatiG and Ford J (Berlin: Springer) vol 93 pp 334--352
[5] Chirikov B V 1979 Phys. Rep. 52 263
[6] Fishman S, Grempel D R and Prange R E 1982 Phys. Rev.Lett. 49 509
[7] Sokolov V V et al 2000 Phys. Rev. Lett. 84 3566
[8] Hofstadter D R 1976 Phys. Rev. B 14 2239
[9] Casati G and Guarneri I 1984 Comm. Math. Phys. 95 121
[10] Casati G et al 1986 Phys. Rev. A 34 1413
[11] Ma T 2007 e-print nlin/0710.1661
[12] Abramowitz M and Stegun I A 1972 Handbook of MathematicalFunctions with Formulas, Graphs, and Mathematical Tables (New York: Dover)
[13] Chang S J and Shi K J 1986 Phys. Rev. A 34 7
[14] Berry M V 1984 Physica D 10 369
[15] Prange R E, Grempel D R and Fishman S 1984 Phys. Rev. B 29 6500
[16] Avron J and Simon B 1982 Bull. Am. Math. Soc. 6 81
[17] Pan C D and Pan C B 2006 Elementary Number Theory(Beijing: Peking University) (in Chinese)
[18] Pan C D and Pan C B 1999 Basics of Analytic NumberTheory (Beijing: Science) (in Chinese)
Related articles from Frontiers Journals
[1] LIU Yuan,JIA Ya-Fei,LI Wei-Dong**. Fermi-Decay Law of Bose–Einstein Condensate Trapped in an Anharmonic Potential[J]. Chin. Phys. Lett., 2012, 29(4): 1968-1971
[2] WANG De-Hua. Corrigendum: “Extracting Closed Classical Orbits from Quantum Recurrence Spectra of a Non-Hydrogenic Atom in Parallel Electric and Magnetic Fields”[J]. Chin. Phys. Lett., 2010, 27(8): 1968-1971
[3] CHEN Fang-Qi, ZHOU Xian-Rong, GU Jian-Zhong. Level Statistics for the Nilsson Single-Particle Levels[J]. Chin. Phys. Lett., 2010, 27(3): 1968-1971
[4] OU Shu-Ching, WU Guo-Zhen. Correlation between Chaotic Dynamics and Level Spacings: the Lyapunov and Dixon Dip Approaches to Highly Excited Vibration of Deuterium Cyanide[J]. Chin. Phys. Lett., 2007, 24(7): 1968-1971
[5] XU Xue-You, GAO Song, GUO Wen-Hao, ZHANG Yan-Hui, LIN Sheng-Lu. Semiclassical Analysis of Quarter Stadium Billiards[J]. Chin. Phys. Lett., 2006, 23(4): 1968-1971
[6] SONG Li-Jun, WANG Xiao-Guang, LI Yong-Da, ZONG Zhan-Guo. Bipartite Entanglement in the Two-Mode Quantum Kicked Top[J]. Chin. Phys. Lett., 2006, 23(12): 1968-1971
[7] WANG De-Hua. Recurrence Spectra of the Rydberg Hydrogen Atom near Two Parallel Metal Surfaces[J]. Chin. Phys. Lett., 2006, 23(10): 1968-1971
[8] WANG De-Hua, DING Shi-Liang,. A New Model Potential Acting on the Excited Electron Within Molecules: Application to Calculate the Recurrence Spectra of Excited H2 Molecules in Strong External Fields[J]. Chin. Phys. Lett., 2004, 21(7): 1968-1971
[9] LI Xi-Guo, SONG Jian-Jun. Connection Between Quantum-Classical Correspondence and Long-Range Correlations in Quantum Spectra[J]. Chin. Phys. Lett., 2004, 21(6): 1968-1971
[10] WANG De-Hua, LIN Sheng-Lu. Extracting Closed Classical Orbits from Quantum Recurrence Spectra of a Non-Hydrogenic Atom in Parallel Electric and Magnetic Fields[J]. Chin. Phys. Lett., 2004, 21(5): 1968-1971
[11] JIN Ying-Xin, HE Kai-Fen. Quantum Poincaré Section of a Two-Dimensional Hamiltonian in a Coherent State Representation[J]. Chin. Phys. Lett., 2002, 19(9): 1968-1971
[12] LIU Bao-Wei, DONG Jin-Ming, WU Gang, HE Wei-Zhong. Control of Semiquantum Chaos by Nonfeedback Method[J]. Chin. Phys. Lett., 2002, 19(12): 1968-1971
Viewed
Full text


Abstract