Multispeed Prethermalization in Quantum Spin Models with Power-Law Decaying Interactions

Physical Review Letters
Irénée FrérotTommaso Roscilde

Abstract

The relaxation of uniform quantum systems with finite-range interactions after a quench is generically driven by the ballistic propagation of long-lived quasiparticle excitations triggered by a sufficiently small quench. Here we investigate the case of long-range (1/r^{α}) interactions for a d-dimensional lattice spin model with uniaxial symmetry, and show that, in the regime d<α<d+2, the entanglement and correlation buildup is radically altered by the existence of a nonlinear dispersion relation of quasiparticles, ω∼k^{z<1}, at small wave vectors, leading to a divergence of the quasiparticle group velocity and superballistic propagation. This translates in a superlinear growth of correlation fronts with time and sublinear growth of relaxation times of subsystem observables with size when focusing on k=0 fluctuations. Yet the large dispersion in group velocities leads to an extreme wavelength dependence of relaxation times of finite-k fluctuations, with entanglement being susceptible to all of them. Our predictions are directly relevant to current experiments probing the nonequilibrium dynamics of trapped ions, or ultracold magnetic and Rydberg atoms in optical lattices.

References

Aug 25, 2004·Physical Review Letters·Guifré Vidal
Aug 25, 2004·Physical Review Letters·Steven R White, Adrian E Feiguin
Aug 8, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Noah LindenAndreas Winter
Jan 5, 2013·Science·Alexander Ako KhajetooriansRoland Wiesendanger
Nov 19, 2013·Physical Review Letters·A de PazB Laburthe-Tolra
Dec 3, 2013·Physical Review Letters·P Hauke, L Tagliacozzo
Feb 4, 2014·Physical Review Letters·Jens EisertMichael Kastner
Aug 2, 2014·Physical Review Letters·Zhe-Xuan GongAlexey V Gorshkov
May 2, 2015·Physical Review Letters·Michael Foss-FeigAlexey V Gorshkov
Jul 13, 2017·Proceedings of the National Academy of Sciences of the United States of America·Vincenzo Alba, Pasquale Calabrese
Sep 28, 2017·Physical Review Letters·Zhe-Xuan GongAlexey V Gorshkov
Jan 1, 2016·Physical Review. B·Mohammad F MaghrebiAlexey V Gorshkov

❮ Previous
Next ❯

Citations

Sep 14, 2019·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Madhumita SahaSantanu K Maiti
Sep 20, 2018·Physical Review Letters·Laurens VanderstraetenFrank Verstraete
Apr 18, 2020·Physical Review Letters·Raphaël Menu, Tommaso Roscilde
Mar 13, 2019·Scientific Reports·Julien DespresLaurent Sanchez-Palencia

❮ 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.

© 2022 Meta ULC. All rights reserved