Open quantum maps from complex scaling of kicked scattering systems

Physical Review. E
Normann Mertig, Akira Shudo

Abstract

We derive open quantum maps from periodically kicked scattering systems and discuss the computation of their resonance spectra in terms of theoretically grounded methods, such as complex scaling and sufficiently weak absorbing potentials. In contrast, we also show that current implementations of open quantum maps, based on strong absorptive or even projective openings, fail to produce the resonance spectra of kicked scattering systems. This comparison pinpoints flaws in current implementations of open quantum maps, namely, the inability to separate resonance eigenvalues from the continuum as well as the presence of diffraction effects due to strong absorption. The reported deviations from the true resonance spectra appear, even if the openings do not affect the classical trapped set, and become appreciable for shorter-lived resonances, e.g., those associated with chaotic orbits. This makes the open quantum maps, which we derive in this paper, a valuable alternative for future explorations of quantum-chaotic scattering systems, for example, in the context of the fractal Weyl law. The results are illustrated for a quantum map model whose classical dynamics exhibits key features of ionization and a trapped set which is organized b...Continue Reading

References

Apr 15, 1991·Physical Review. a·F BorgonoviD L Shepelyansky
Jun 15, 1992·Physical Review. a·J H Jensen
Feb 1, 1995·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·J H Jensen
Aug 21, 1989·Physical Review Letters·P Cvitanovic, B Eckhardt
Jan 15, 1990·Physical Review Letters·R Blümel, U Smilansky
Oct 24, 1994·Physical Review Letters·G VattayP E Rosenqvist
Oct 4, 2000·Physical Review Letters·G CasatiG Maspero
Aug 11, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·T OnishiK Takahashi
Jun 6, 2003·Physical Review Letters·Ph JacquodC W J Beenakker
Nov 13, 2003·Physical Review Letters·W T LuMaciej Zworski
Dec 20, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·T OnishiK Takahashi
Mar 5, 2004·Physical Review Letters·K A MitchellJ B Delos
Nov 5, 2004·Physical Review Letters·Henning Schomerus, Jakub Tworzydło
Dec 13, 2006·Physical Review Letters·J P KeatingM Sieber
Nov 13, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·M NovaesJ P Keating
Apr 7, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Jordan A RamilowskiDavid Farrelly
Apr 7, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Marten Kopp, Henning Schomerus
Mar 17, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Yevgeny KrivolapovThomas M Antonsen
Oct 27, 2011·Physical Review Letters·Korana BurkeF Barry Dunning
May 17, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Marcel Novaes
Jun 12, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Akihiro IshiiHenning Schomerus
Feb 2, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Domenico LippolisSang Wook Kim
Mar 20, 2013·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·Henning Schomerus
Sep 17, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Fabian LacknerFlorian Libisch
Oct 1, 2013·Physical Review Letters·M J KörberR Ketzmerick
Feb 14, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Moritz Schönwetter, Eduardo G Altmann
Jan 2, 2016·Physical Review Letters·Martin J KörberRoland Ketzmerick
Jan 14, 2017·Physical Review. E·Normann MertigRoland Ketzmerick
Mar 17, 2017·Physical Review. E·Felix FritzschNormann Mertig

❮ Previous
Next ❯

Citations

Jan 21, 2021·Physical Review. E·Yu-Zhong GuYun-Feng Xiao

❮ Previous
Next ❯

Related Concepts

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
M NovaesJ P Keating
Physical Review Letters
W T LuMaciej Zworski
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Juan M PedrosaLeonardo Ermann
© 2022 Meta ULC. All rights reserved