PMID: 15244717Jul 13, 2004Paper

Classical intermittency and the quantum Anderson transition

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Antonio M García-García

Abstract

We investigate the properties of quantum systems whose classical counterpart presents intermittency. It is shown, by using recent semiclassical techniques, that the quantum spectral correlations of such systems are expressed in terms of the eigenvalues of an anomalous diffusion operator. For certain values of the parameters leading to ballistic diffusion and 1/f noise the spectral properties of our model show similarities with those of a disordered system at the Anderson transition. In Hamiltonian systems, intermittency is closely related to the presence of cantori in the classical phase space. We suggest, based on this relation, that our findings may be relevant for the description of the spectral correlations of Hamiltonians with a classical phase space homogeneously filled by cantori. Finally we discuss the extension of our results to higher dimensions and their relation to Anderson models with long-range hopping.

References

Jan 1, 1993·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·A Shudo, Y Shimizu
Feb 1, 1993·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·G Zumofen, J Klafter
Jun 1, 1994·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·J Klafter, G Zumofen
Aug 1, 1994·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·H C Fogedby
Oct 1, 1996·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·A D MirlinT H Seligman
May 1, 1993·Physical Review. B, Condensed Matter·B I ShklovskiiH B Shore
Feb 18, 1985·Physical Review Letters·T GeiselA Zacherl
Dec 16, 1985·Physical Review Letters·J D Meiss, E Ott
Nov 30, 1987·Physical Review Letters·T GeiselG Radons
Mar 14, 1988·Physical Review Letters·D Wintgen, H Marxer
Jan 29, 1990·Physical Review Letters·L S Levitov
Jul 26, 1993·Physical Review Letters·K A MuttalibV N Nicopoulos
Sep 12, 1994·Physical Review Letters·M MosheB Shapiro
Dec 11, 1995·Physical Review Letters·O AgamA V Andreev
Jul 31, 1995·Physical Review Letters·A V Andreev, B L Altshuler
Aug 19, 1996·Physical Review Letters·E B Bogomolny, J P Keating
Nov 22, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·S DenisovM Urbakh
Jun 5, 2003·Chaos·Roberto ArtusoLaura Rebuzzini
Jun 6, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A M García-García, J J M Verbaarschot

❮ Previous
Next ❯

Citations

Mar 21, 2008·Physical Review Letters·Antonio M García-García

❮ 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.

Related Papers

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Hiromichi SuetaniShin Mizutani
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Sang-Yoon KimEdward Ott
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Woo-Sik SonChil-Min Kim
© 2022 Meta ULC. All rights reserved