Spectral Statistics in Spatially Extended Chaotic Quantum Many-Body Systems

Physical Review Letters
Amos ChanJ T Chalker

Abstract

We study spectral statistics in spatially extended chaotic quantum many-body systems, using simple lattice Floquet models without time-reversal symmetry. Computing the spectral form factor K(t) analytically and numerically, we show that it follows random matrix theory (RMT) at times longer than a many-body Thouless time, t_{Th}. We obtain a striking dependence of t_{Th} on the spatial dimension d and size of the system. For d>1, t_{Th} is finite in the thermodynamic limit and set by the intersite coupling strength. By contrast, in one dimension t_{Th} diverges with system size, and for large systems there is a wide window in which spectral correlations are not of RMT form. Lastly, our Floquet model exhibits a many-body localization transition, and we discuss the behavior of the spectral form factor in the localized phase.

References

Jan 25, 1993·Physical Review Letters·G MontambauxC Sire
Nov 9, 2016·Physical Review Letters·David J Luitz, Yevgeny Bar Lev

❮ Previous
Next ❯

Citations

Sep 11, 2019·Physical Review. E·S Lerma-HernándezJ G Hirsch
Aug 17, 2020·Physical Review Letters·Tony JinDenis Bernard
Jan 13, 2019·Physical Review Letters·Bruno BertiniTomaž Prosen
May 22, 2019·Physical Review. E·Ryusuke Hamazaki, Masahito Ueda
Apr 24, 2019·Physical Review Letters·Zhenyu XuAdolfo Del Campo
Jul 10, 2019·Physical Review Letters·Amos ChanJ T Chalker
Dec 7, 2019·Physical Review Letters·Aaron J FriedmanJ T Chalker
Jun 25, 2020·Physical Review. E·Petr BraunThomas Guhr
Mar 29, 2020·Physical Review Letters·Zongping GongJ Ignacio Cirac
May 23, 2020·Physical Review Letters·Piotr SierantJakub Zakrzewski
Nov 26, 2019·Physical Review Letters·Po-Yao ChangJ H Pixley
Nov 21, 2020·Physical Review. E·Wouter BuijsmanVladimir Gritsev
Jan 21, 2021·Physical Review. E·Jan ŠuntajsLev Vidmar
Jan 21, 2021·Physical Review. E·Dibyendu Roy, Tomaž Prosen
Mar 20, 2021·Physical Review. E·Jason IaconisRahul Nandkishore
Apr 10, 2021·Physical Review Letters·Shoki SugimotoMasahito Ueda
May 8, 2021·Physical Review Letters·Zongping GongJ Ignacio Cirac
May 8, 2021·Physical Review Letters·Katja KlobasLorenzo Piroli
May 29, 2021·Physical Review Letters·Pavel KosTomaž Prosen
Jul 18, 2021·Physical Review. E·Felix Fritzsch, Tomaž Prosen
Jul 24, 2021·Physical Review Letters·S J Garratt, J T Chalker

❮ 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 ThahaU Smilansky
Physical Review Letters
Achilleas LazaridesRoderich Moessner
© 2022 Meta ULC. All rights reserved