Weakly Nonergodic Dynamics in the Gross-Pitaevskii Lattice

Physical Review Letters
Thudiyangal MithunS Flach

Abstract

The microcanonical Gross-Pitaevskii (also known as the semiclassical Bose-Hubbard) lattice model dynamics is characterized by a pair of energy and norm densities. The grand canonical Gibbs distribution fails to describe a part of the density space, due to the boundedness of its kinetic energy spectrum. We define Poincaré equilibrium manifolds and compute the statistics of microcanonical excursion times off them. The tails of the distribution functions quantify the proximity of the many-body dynamics to a weakly nonergodic phase, which occurs when the average excursion time is infinite. We find that a crossover to weakly nonergodic dynamics takes place inside the non-Gibbs phase, being unnoticed by the largest Lyapunov exponent. In the ergodic part of the non-Gibbs phase, the Gibbs distribution should be replaced by an unknown modified one. We relate our findings to the corresponding integrable limit, close to which the actions are interacting through a short range coupling network.

References

Oct 6, 2000·Physical Review Letters·K O RasmussenN Gronbech-Jensen
Mar 5, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Benno Rumpf
Dec 17, 2004·Physical Review Letters·Eric Lutz
Feb 21, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·G Bel, E Barkai
Oct 10, 2006·Physical Review Letters·Roberto LiviGian-Luca Oppo
Feb 1, 2008·Physical Review Letters·A Rebenshtok, E Barkai
Jun 4, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Benno Rumpf
Jun 13, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Ch SkokosS Flach
Aug 27, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·J D BodyfeltS Flach
Sep 26, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Stefano IubiniAntonio Politi
Aug 27, 2013·Physical Review Letters·Ch SkokosS Flach
Jan 1, 2016·Proceedings of the National Academy of Sciences of the United States of America·Manuel PinoBoris L Altshuler
Jun 18, 2017·Physical Review. E·P BuonsanteA Smerzi
Jul 16, 2017·Physical Review. E·C DanieliS Flach

❮ Previous
Next ❯

Citations

Apr 3, 2019·Physical Review. E·Liviu F Chirondojan, Gian-Luca Oppo
Apr 24, 2019·Physical Review Letters·Erez AghionEli Barkai
Oct 24, 2019·Physical Review. E·Carlo DanieliSergej Flach
Mar 2, 2019·Physical Review Letters·Thudiyangal MithunSergej Flach
Apr 16, 2020·Physical Review. E·B Many MandaCh Skokos
Apr 2, 2019·Physical Review Letters·Stefano IubiniPaolo Politi
Mar 6, 2021·Physical Review Letters·Daniel LeykamDaria A Smirnova
Mar 13, 2021·The European Physical Journal. E, Soft Matter·Giacomo GradenigoSatya N Majumdar
Apr 18, 2021·Physical Review. E·Thudiyangal MithunPanayotis G Kevrekidis
Aug 21, 2021·Physical Review. E·Thudiyangal MithunSergej Flach

❮ 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
D M Barnett, T Tajima
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Johannes H P Schulz, E Barkai
Physical Review. B, Condensed Matter
R A Johnson
© 2022 Meta ULC. All rights reserved