Dynamical manifestations of quantum chaos: correlation hole and bulge

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
E J Torres-Herrera, Lea F Santos

Abstract

A main feature of a chaotic quantum system is a rigid spectrum where the levels do not cross. We discuss how the presence of level repulsion in lattice many-body quantum systems can be detected from the analysis of their time evolution instead of their energy spectra. This approach is advantageous to experiments that deal with dynamics, but have limited or no direct access to spectroscopy. Dynamical manifestations of avoided crossings occur at long times. They correspond to a drop, referred to as correlation hole, below the asymptotic value of the survival probability and to a bulge above the saturation point of the von Neumann entanglement entropy and the Shannon information entropy. By contrast, the evolution of these quantities at shorter times reflects the level of delocalization of the initial state, but not necessarily a rigid spectrum. The correlation hole is a general indicator of the integrable-chaos transition in disordered and clean models and as such can be used to detect the transition to the many-body localized phase in disordered interacting systems.This article is part of the themed issue 'Breakdown of ergodicity in quantum systems: from solids to synthetic matter'.

References

Oct 15, 1992·Physical Review. a·Y Alhassid, R D Levine
Jan 1, 1994·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·A KudrolliR Ramaswamy
Jun 1, 1993·Physical Review. B, Condensed Matter·T C Hsu, Anglès d'Auriac JC
Aug 11, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·V V Flambaum, F M Izrailev
Oct 3, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·V V Flambaum, F M Izrailev
Dec 12, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·P JacquodC W Beenakker
Mar 23, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Tomaz Prosen
May 15, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·F M CucchiettiR O Vallejos
Aug 16, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·H-J Stöckmann, H Kohler
Mar 21, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Winton G BrownLorenza Viola
Dec 31, 2008·Physical Review Letters·Peter Reimann
Apr 7, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Lea F Santos, Marcos Rigol
Jan 15, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Vinitha BalachandranJiangbin Gong
Aug 27, 2011·Physical Review Letters·Lea F SantosMarcos Rigol
Apr 3, 2012·Physical Review Letters·L F SantosF M Izrailev
May 1, 2012·Physical Review Letters·Marcos Rigol, Mark Srednicki
May 17, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·L F SantosF M Izrailev
Sep 26, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Lea F SantosMarcos Rigol
Oct 4, 2012·Physical Review Letters·Jens H BardarsonJoel E Moore
Oct 16, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Pablo R ZangaraLea F Santos
Nov 16, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·E J Torres-Herrera, Lea F Santos
Jul 16, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·E J Torres-Herrera, Lea F Santos
Nov 9, 2016·Physical Review Letters·David J Luitz, Yevgeny Bar Lev
Apr 15, 2017·Physical Review Letters·Thomas Kiendl, Florian Marquardt

❮ Previous
Next ❯

Citations

Nov 1, 2017·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·Michael PepperSteven Simon
Mar 29, 2020·Physical Review Letters·Yilun YangMari Carmen Bañuls
Feb 20, 2019·Physical Review. E·Fausto BorgonoviLea F Santos
Oct 3, 2019·Physical Review. E·E Jonathan Torres-HerreraLea F Santos
Sep 11, 2019·Physical Review. E·S Lerma-HernándezJ G Hirsch
May 23, 2020·Physical Review Letters·Piotr SierantJakub Zakrzewski
Oct 21, 2020·Physical Review. E·Javier de la CruzJorge G Hirsch
Feb 10, 2021·Nature Communications·Saúl Pilatowsky-CameoJorge G Hirsch
Jan 21, 2021·Physical Review. E·E Jonathan Torres-HerreraLea F Santos
May 29, 2021·Physical Review Letters·Pavel KosTomaž Prosen
Jun 18, 2021·Physical Review. E·Manuel H Muñoz-AriasIvan H Deutsch

❮ 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 Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
M LatkaB J West
Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
Trithep DevakulS L Sondhi
© 2022 Meta ULC. All rights reserved