Floquet states of a kicked particle in a singular potential: Exponential and power-law profiles

Physical Review. E
Sanku Paul, M S Santhanam

Abstract

It is well known that, in the chaotic regime, all the Floquet states of kicked rotor system display an exponential profile resulting from dynamical localization. If the kicked rotor is placed in an additional stationary infinite potential well, its Floquet states display power-law profile. It has also been suggested in general that the Floquet states of periodically kicked systems with singularities in the potential would have power-law profile. In this work, we study the Floquet states of a kicked particle in finite potential barrier. By varying the height of finite potential barrier, the nature of transition in the Floquet state from exponential to power-law decay profile is studied. We map this system to a tight-binding model and show that the nature of decay profile depends on energy band spanned by the Floquet states (in unperturbed basis) relative to the potential height. This property can also be inferred from the statistics of Floquet eigenvalues and eigenvectors. This leads to an unusual scenario in which the level spacing distribution, as a window in to the spectral correlations, is not a unique characteristic for the entire system.

References

Feb 15, 1989·Physical Review A: General Physics·S FishmanM Griniasty
Jan 27, 1986·Physical Review Letters·J V José, R Cordery
Feb 17, 1986·Physical Review Letters·D L Shepelyansky
Dec 18, 1995·Physical Review Letters·F L MooreM G Raizen
Apr 6, 2001·Physical Review Letters·J Gong, P Brumer
Aug 11, 2001·Physical Review Letters·H SchanzT Dittrich
Oct 3, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A Lakshminarayan
Nov 3, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·R SankaranarayananV B Sheorey
Apr 24, 2002·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·B Sundaram, G M Zaslavsky
Aug 23, 2002·Physical Review Letters·Shmuel FishmanLaura Rebuzzini
Nov 22, 2002·Physical Review Letters·T S MonteiroM R Isherwood
Dec 20, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Jiangbin GongPaul Brumer
Aug 25, 2004·Physical Review Letters·P H JonesF Renzoni
Dec 17, 2004·Physical Review Letters·P H JonesT S Monteiro
Feb 21, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Antonio M García-García
Apr 12, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Itzhack Dana, Dmitry L Dorofeev
Apr 12, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Antonio M García-García, Jiao Wang
Feb 7, 2007·Physical Review Letters·G BehinaeinG S Summy
Aug 7, 2007·Physical Review Letters·Henning Schomerus, Eric Lutz
Mar 21, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·M S SanthanamArul Lakshminarayan
Oct 15, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Rina Dutta, Pragya Shukla
Dec 31, 2008·Physical Review Letters·Julien ChabéJean Claude Garreau
Apr 28, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Jiao Wang, Antonio M García-García
Jan 15, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·John MartinBertrand Georgeot
Jan 15, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Harinder Pal, M S Santhanam
Nov 8, 2014·Physical Review Letters·Italo GuarneriVolker Karle
May 13, 2017·Physical Review Letters·Sumit SarkarM S Santhanam

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Citations

Jan 23, 2020·Physical Review. E·Sanku PaulUmakant Rapol

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