Many-body localization crossover is sharper in a quasiperiodic potential

Strong disorder may significantly slow down or even completely hinder the thermalization of quantum many-body systems due to many-body localization (MBL). A sufficiently deep quasiperiodic potential may also inhibit thermalization. In this paper, we numerically demonstrate direct differences in the behavior of standard ergodicity-breaking indicators at the MBL crossover in random and quasiperiodic systems. Our key finding is the exponential increase in the sharpness of the MBL crossover with system size for quasiperiodic systems, a trend that is only linear in disordered systems. The strong tendency towards nonanalytic behavior in quasiperiodic systems is consistent with the existence of dynamical regimes with sharply defined boundaries or an MBL phase transition. It highlights the importance of quasiperiodic systems for our understanding of many-body dynamics.

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Publication Details

Journal
Physical review. B./Physical review. B
Published
2024-11-25
DOI
https://doi.org/10.1103/physrevb.110.184209
Citations
7
Primary Topic
Quantum many-body systems
Type
article
Field-Weighted Citation Impact
2.36

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article

Many-body localization crossover is sharper in a quasiperiodic potential

Piotr Sierant, Pedro R. Nicácio Falcão, Jakub Zakrzewski, Adith Sai Aramthottil
7 citations
Physical review. B./Physical review. B
Quantum many-body systems
2.36
article

Many-body localization crossover is sharper in a quasiperiodic potential

Piotr Sierant, Pedro R. Nicácio Falcão, Jakub Zakrzewski, Adith Sai Aramthottil
article en
7 citations

Abstract

Strong disorder may significantly slow down or even completely hinder the thermalization of quantum many-body systems due to many-body localization (MBL). A sufficiently deep quasiperiodic potential may also inhibit thermalization. In this paper, we numerically demonstrate direct differences in the behavior of standard ergodicity-breaking indicators at the MBL crossover in random and quasiperiodic systems. Our key finding is the exponential increase in the sharpness of the MBL crossover with system size for quasiperiodic systems, a trend that is only linear in disordered systems. The strong tendency towards nonanalytic behavior in quasiperiodic systems is consistent with the existence of dynamical regimes with sharply defined boundaries or an MBL phase transition. It highlights the importance of quasiperiodic systems for our understanding of many-body dynamics.

Physical review. B./Physical review. BVol. 110(18)
Jagiellonian University (PL), Institute of Photonic Sciences (ES)
Centres de Recerca de Catalunya, Institut de Ciències Fotòniques, European Commission, Generalitat de Catalunya, Narodowe Centrum Nauki, Narodowym Centrum Nauki, Ministerio de Ciencia e Innovación, Barcelona Supercomputing Center, Infrastruktura PL-Grid, QuantERA, European Climate, Infrastructure and Environment Executive Agency, HORIZON EUROPE Framework Programme, Agència de Gestió d'Ajuts Universitaris i de Recerca, Horizon 2020, European Regional Development Fund, Agencia Estatal de Investigación, Academic Computer Centre Cyfronet, AGH University of Science and Technology, H2020 Marie Skłodowska-Curie Actions
Openalex Percentile: Top 11%
Quantum many-body systems
2.36
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