PMID: 11909220Mar 23, 2002Paper

Quantum localization for a kicked rotor with accelerator mode islands

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
A IominG. M. Zaslavsky

Abstract

Dynamical localization of classical superdiffusion for the quantum kicked rotor is studied in the semiclassical limit. Both classical and quantum dynamics of the system become more complicated under the conditions of mixed phase space with accelerator mode islands. Recently, long time quantum flights due to the accelerator mode islands have been found. By exploration of their dynamics, it is shown here that the classical-quantum duality of the flights leads to their localization. The classical mechanism of superdiffusion is due to accelerator mode dynamics, while quantum tunneling suppresses the superdiffusion and leads to localization of the wave function. Coupling of the regular type dynamics inside the accelerator mode island structures to dynamics in the chaotic sea proves increasing the localization length. A numerical procedure and an analytical method are developed to obtain an estimate of the localization length which, as it is shown, has exponentially large scaling with the dimensionless Planck's constant (tilde)h<1 in the semiclassical limit. Conditions for the validity of the developed method are specified.

References

Sep 1, 1986·Physical Review A: General Physics·J D Meiss
Jul 1, 1987·Physical Review A: General Physics·S FishmanR E Prange
Jun 15, 1988·Physical Review A: General Physics·R S MacKay, J D Meiss
Feb 15, 1989·Physical Review A: General Physics·S FishmanM Griniasty
Jul 1, 1996·Physical Review. a·L BonciR Roncaglia
Jun 1, 1995·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·R RoncagliaP Grigolini
Dec 8, 1986·Physical Review Letters·T GeiselJ Rubner
Oct 6, 2000·Physical Review Letters·M Khodas, S Fishman
Nov 23, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·M KhodasO Agam
Apr 20, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A Iomin, G M Zaslavsky
Jul 20, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·R Artuso, M Rusconi
Apr 24, 2002·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·B Sundaram, G M Zaslavsky
Apr 24, 2002·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·A Iomin, G M Zaslavsky
Jun 5, 2003·Chaos·Vered Rom-Kedar, George Zaslavsky

❮ Previous
Next ❯

Citations

Mar 31, 2005·Annual Review of Physical Chemistry·Jiangbin Gong, Paul Brumer
Dec 20, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Jiangbin GongPaul Brumer
Oct 9, 2002·Physical Review Letters·Lars HufnagelHolger Schanz
Aug 7, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Arnd BäckerAlejandro G Monastra
Jun 3, 2018·Chaos·Ying-Cheng LaiCelso Grebogi
Jan 23, 2020·Physical Review. E·Sanku PaulUmakant Rapol
Mar 5, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Itzhack Dana
Oct 10, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·M M A Stocklin, T S Monteiro
Mar 24, 2005·Physical Review Letters·Arnd BäckerAlejandro G Monastra
May 16, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Alexander Iomin
Oct 4, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Roberto Artuso, Laura Rebuzzini
Oct 13, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Jiangbin Gong, Jiao Wang
Jan 15, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Arnd BäckerSteffen Löck
May 21, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Oded Barash, Itzhack Dana
Aug 25, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Jiangbin Gong, Paul Brumer
Oct 4, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Jiangbin GongPaul Brumer

❮ Previous
Next ❯

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.

© 2022 Meta ULC. All rights reserved